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DIRECTIONS for questions: Answer the questions on the basis of the information given below.
Ram Kumar wanted to come down from the first floor to the ground floor of a shopping mall, whereas Kishore wanted to climb up from the ground floor to the first floor. Both used the same escalator (a moving staircase) which was ascending from the ground floor to the first floor and both walked towards their respective destinations at their normal speeds. Both of them started simultaneously from the top and the bottom of the escalator respectively and crossed each other after exactly 21 seconds. If instead, Kishore had walked at 1/3rd of his normal speed while Ram Kumar maintained his normal speed, they would have crossed each other after exactly 28 seconds from the start. Further, if both Ram Kumar and Kishore had climbed up from the ground floor to the first floor using the same ascending escalator, walking at their normal speeds, the number of steps taken by Kishore to reach the first floor would be 20% less than the number of steps taken by Ram Kumar for the same.
Q.Ram Kumar walked down from the first floor to the ground floor using the same escalator. However, after some time the escalator stopped moving due to a power failure. Find the total time taken by Ram Kumar to reach the ground floor, given that the time for which he walked on the moving escalator was the same as that for which he walked on the stationary escalator.
  • a)
    25 x 11 / 13 seconds
  • b)
    37 x 1 / 3seconds
  • c)
    48 seconds
  • d)
    56 seconds
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
DIRECTIONS for questions: Answer the questions on the basis of the inf...
Let the speeds of Ram Kumar and Kishore be x steps per second and y steps per second respectively. Both having started simultaneously, the total length covered by them to cross each other must be equal to the total length of the escalator.
∴(x + y)21 = (x + y / 3) 28 = Number of steps on the escalator
∴ 9(x + y) = 4(3x + y)
5y = 3x
Y / x = 3 / 5
Let x = 5k and y = 3k,
Total steps in the escalator = 21 (5k + 3k) = 168k
Both having started from the ground floor in the time Ram kumar takes 5k1steps, Kishore will take 3k1 steps. So they will be separated by 2k1 steps.
Total steps taken by Kishore to reach the 1stfloor = 5K1 – 20 / 100 = 5k1 = 4k1
So in the time Kishore took kt steps, the escalator took the remaining (2k1– k1) steps.
Thus speed of Kishore = Speed of the escalator.
Speed of the escalator = 3k steps/seconds
Since for half the time Ram Kumar will be walking in opposite direction to that of the escalator, relative speed of Ram Kumar = 5k - 3k = 2k steps/seconds.
For the other half of the time, with the escalator being at rest Ram Kumar’s speed will be 5k steps/seconds.
Let Ram Kumar cover n steps at 2k steps/seconds speed and the remaining at 5k steps/seconds speed.
Since the time taken is same in both cases, n / 2k = 168k – n / 5k
5 n = 336k - 2n
7n = 336k or n = 48k
Time taken by Ram Kumar to reach the ground floor = 2 x n / 2k = 2 x 48k / 2k= 48 seconds
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Most Upvoted Answer
DIRECTIONS for questions: Answer the questions on the basis of the inf...
Let the speeds of Ram Kumar and Kishore be x steps per second and y steps per second respectively. Both having started simultaneously, the total length covered by them to cross each other must be equal to the total length of the escalator.
∴(x + y)21 = (x + y / 3) 28 = Number of steps on the escalator
∴ 9(x + y) = 4(3x + y)
5y = 3x
Y / x = 3 / 5
Let x = 5k and y = 3k,
Total steps in the escalator = 21 (5k + 3k) = 168k
Both having started from the ground floor in the time Ram kumar takes 5k1steps, Kishore will take 3k1 steps. So they will be separated by 2k1 steps.
Total steps taken by Kishore to reach the 1stfloor = 5K1 – 20 / 100 = 5k1 = 4k1
So in the time Kishore took kt steps, the escalator took the remaining (2k1– k1) steps.
Thus speed of Kishore = Speed of the escalator.
Speed of the escalator = 3k steps/seconds
Since for half the time Ram Kumar will be walking in opposite direction to that of the escalator, relative speed of Ram Kumar = 5k - 3k = 2k steps/seconds.
For the other half of the time, with the escalator being at rest Ram Kumar’s speed will be 5k steps/seconds.
Let Ram Kumar cover n steps at 2k steps/seconds speed and the remaining at 5k steps/seconds speed.
Since the time taken is same in both cases, n / 2k = 168k – n / 5k
5 n = 336k - 2n
7n = 336k or n = 48k
Time taken by Ram Kumar to reach the ground floor = 2 x n / 2k = 2 x 48k / 2k= 48 seconds
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DIRECTIONS for questions: Answer the questions on the basis of the inf...
Let the speeds of Ram Kumar and Kishore be x steps per second and y steps per second respectively. Both having started simultaneously, the total length covered by them to cross each other must be equal to the total length of the escalator.
∴(x + y)21 = (x + y / 3) 28 = Number of steps on the escalator
∴ 9(x + y) = 4(3x + y)
5y = 3x
Y / x = 3 / 5
Let x = 5k and y = 3k,
Total steps in the escalator = 21 (5k + 3k) = 168k
Both having started from the ground floor in the time Ram kumar takes 5k1steps, Kishore will take 3k1 steps. So they will be separated by 2k1 steps.
Total steps taken by Kishore to reach the 1stfloor = 5K1 – 20 / 100 = 5k1 = 4k1
So in the time Kishore took kt steps, the escalator took the remaining (2k1– k1) steps.
Thus speed of Kishore = Speed of the escalator.
Speed of the escalator = 3k steps/seconds
Since for half the time Ram Kumar will be walking in opposite direction to that of the escalator, relative speed of Ram Kumar = 5k - 3k = 2k steps/seconds.
For the other half of the time, with the escalator being at rest Ram Kumar’s speed will be 5k steps/seconds.
Let Ram Kumar cover n steps at 2k steps/seconds speed and the remaining at 5k steps/seconds speed.
Since the time taken is same in both cases, n / 2k = 168k – n / 5k
5 n = 336k - 2n
7n = 336k or n = 48k
Time taken by Ram Kumar to reach the ground floor = 2 x n / 2k = 2 x 48k / 2k= 48 seconds
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DIRECTIONS for questions: Answer the questions on the basis of the information given below.Ram Kumar wanted to come down from the first floor to the ground floor of a shopping mall, whereas Kishore wanted to climb up from the ground floor to the first floor. Both used the same escalator (a moving staircase) which was ascending from the ground floor to the first floor and both walked towards their respective destinations at their normal speeds. Both of them started simultaneously from the top and the bottom of the escalator respectively and crossed each other after exactly 21 seconds. If instead, Kishore had walked at 1/3rd of his normal speed while Ram Kumar maintained his normal speed, they would have crossed each other after exactly 28 seconds from the start. Further, if both Ram Kumar and Kishore had climbed up from the ground floor to the first floor using the same ascending escalator, walking at their normal speeds, the number of steps taken by Kishore to reach the first floor would be 20% less than the number of steps taken by Ram Kumar for the same.Q.Ram Kumar walked down from the first floor to the ground floor using the same escalator. However, after some time the escalator stopped moving due to a power failure. Find the total time taken by Ram Kumar to reach the ground floor, given that the time for which he walked on the moving escalator was the same as that for which he walked on the stationary escalator.a)25 x 11 / 13 secondsb)37 x 1 / 3secondsc)48 secondsd)56 secondsCorrect answer is option 'C'. Can you explain this answer?
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DIRECTIONS for questions: Answer the questions on the basis of the information given below.Ram Kumar wanted to come down from the first floor to the ground floor of a shopping mall, whereas Kishore wanted to climb up from the ground floor to the first floor. Both used the same escalator (a moving staircase) which was ascending from the ground floor to the first floor and both walked towards their respective destinations at their normal speeds. Both of them started simultaneously from the top and the bottom of the escalator respectively and crossed each other after exactly 21 seconds. If instead, Kishore had walked at 1/3rd of his normal speed while Ram Kumar maintained his normal speed, they would have crossed each other after exactly 28 seconds from the start. Further, if both Ram Kumar and Kishore had climbed up from the ground floor to the first floor using the same ascending escalator, walking at their normal speeds, the number of steps taken by Kishore to reach the first floor would be 20% less than the number of steps taken by Ram Kumar for the same.Q.Ram Kumar walked down from the first floor to the ground floor using the same escalator. However, after some time the escalator stopped moving due to a power failure. Find the total time taken by Ram Kumar to reach the ground floor, given that the time for which he walked on the moving escalator was the same as that for which he walked on the stationary escalator.a)25 x 11 / 13 secondsb)37 x 1 / 3secondsc)48 secondsd)56 secondsCorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about DIRECTIONS for questions: Answer the questions on the basis of the information given below.Ram Kumar wanted to come down from the first floor to the ground floor of a shopping mall, whereas Kishore wanted to climb up from the ground floor to the first floor. Both used the same escalator (a moving staircase) which was ascending from the ground floor to the first floor and both walked towards their respective destinations at their normal speeds. Both of them started simultaneously from the top and the bottom of the escalator respectively and crossed each other after exactly 21 seconds. If instead, Kishore had walked at 1/3rd of his normal speed while Ram Kumar maintained his normal speed, they would have crossed each other after exactly 28 seconds from the start. Further, if both Ram Kumar and Kishore had climbed up from the ground floor to the first floor using the same ascending escalator, walking at their normal speeds, the number of steps taken by Kishore to reach the first floor would be 20% less than the number of steps taken by Ram Kumar for the same.Q.Ram Kumar walked down from the first floor to the ground floor using the same escalator. However, after some time the escalator stopped moving due to a power failure. Find the total time taken by Ram Kumar to reach the ground floor, given that the time for which he walked on the moving escalator was the same as that for which he walked on the stationary escalator.a)25 x 11 / 13 secondsb)37 x 1 / 3secondsc)48 secondsd)56 secondsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS for questions: Answer the questions on the basis of the information given below.Ram Kumar wanted to come down from the first floor to the ground floor of a shopping mall, whereas Kishore wanted to climb up from the ground floor to the first floor. Both used the same escalator (a moving staircase) which was ascending from the ground floor to the first floor and both walked towards their respective destinations at their normal speeds. Both of them started simultaneously from the top and the bottom of the escalator respectively and crossed each other after exactly 21 seconds. If instead, Kishore had walked at 1/3rd of his normal speed while Ram Kumar maintained his normal speed, they would have crossed each other after exactly 28 seconds from the start. Further, if both Ram Kumar and Kishore had climbed up from the ground floor to the first floor using the same ascending escalator, walking at their normal speeds, the number of steps taken by Kishore to reach the first floor would be 20% less than the number of steps taken by Ram Kumar for the same.Q.Ram Kumar walked down from the first floor to the ground floor using the same escalator. However, after some time the escalator stopped moving due to a power failure. Find the total time taken by Ram Kumar to reach the ground floor, given that the time for which he walked on the moving escalator was the same as that for which he walked on the stationary escalator.a)25 x 11 / 13 secondsb)37 x 1 / 3secondsc)48 secondsd)56 secondsCorrect answer is option 'C'. Can you explain this answer?.
Solutions for DIRECTIONS for questions: Answer the questions on the basis of the information given below.Ram Kumar wanted to come down from the first floor to the ground floor of a shopping mall, whereas Kishore wanted to climb up from the ground floor to the first floor. Both used the same escalator (a moving staircase) which was ascending from the ground floor to the first floor and both walked towards their respective destinations at their normal speeds. Both of them started simultaneously from the top and the bottom of the escalator respectively and crossed each other after exactly 21 seconds. If instead, Kishore had walked at 1/3rd of his normal speed while Ram Kumar maintained his normal speed, they would have crossed each other after exactly 28 seconds from the start. Further, if both Ram Kumar and Kishore had climbed up from the ground floor to the first floor using the same ascending escalator, walking at their normal speeds, the number of steps taken by Kishore to reach the first floor would be 20% less than the number of steps taken by Ram Kumar for the same.Q.Ram Kumar walked down from the first floor to the ground floor using the same escalator. However, after some time the escalator stopped moving due to a power failure. Find the total time taken by Ram Kumar to reach the ground floor, given that the time for which he walked on the moving escalator was the same as that for which he walked on the stationary escalator.a)25 x 11 / 13 secondsb)37 x 1 / 3secondsc)48 secondsd)56 secondsCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of DIRECTIONS for questions: Answer the questions on the basis of the information given below.Ram Kumar wanted to come down from the first floor to the ground floor of a shopping mall, whereas Kishore wanted to climb up from the ground floor to the first floor. Both used the same escalator (a moving staircase) which was ascending from the ground floor to the first floor and both walked towards their respective destinations at their normal speeds. Both of them started simultaneously from the top and the bottom of the escalator respectively and crossed each other after exactly 21 seconds. If instead, Kishore had walked at 1/3rd of his normal speed while Ram Kumar maintained his normal speed, they would have crossed each other after exactly 28 seconds from the start. Further, if both Ram Kumar and Kishore had climbed up from the ground floor to the first floor using the same ascending escalator, walking at their normal speeds, the number of steps taken by Kishore to reach the first floor would be 20% less than the number of steps taken by Ram Kumar for the same.Q.Ram Kumar walked down from the first floor to the ground floor using the same escalator. However, after some time the escalator stopped moving due to a power failure. Find the total time taken by Ram Kumar to reach the ground floor, given that the time for which he walked on the moving escalator was the same as that for which he walked on the stationary escalator.a)25 x 11 / 13 secondsb)37 x 1 / 3secondsc)48 secondsd)56 secondsCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of DIRECTIONS for questions: Answer the questions on the basis of the information given below.Ram Kumar wanted to come down from the first floor to the ground floor of a shopping mall, whereas Kishore wanted to climb up from the ground floor to the first floor. Both used the same escalator (a moving staircase) which was ascending from the ground floor to the first floor and both walked towards their respective destinations at their normal speeds. Both of them started simultaneously from the top and the bottom of the escalator respectively and crossed each other after exactly 21 seconds. If instead, Kishore had walked at 1/3rd of his normal speed while Ram Kumar maintained his normal speed, they would have crossed each other after exactly 28 seconds from the start. Further, if both Ram Kumar and Kishore had climbed up from the ground floor to the first floor using the same ascending escalator, walking at their normal speeds, the number of steps taken by Kishore to reach the first floor would be 20% less than the number of steps taken by Ram Kumar for the same.Q.Ram Kumar walked down from the first floor to the ground floor using the same escalator. However, after some time the escalator stopped moving due to a power failure. Find the total time taken by Ram Kumar to reach the ground floor, given that the time for which he walked on the moving escalator was the same as that for which he walked on the stationary escalator.a)25 x 11 / 13 secondsb)37 x 1 / 3secondsc)48 secondsd)56 secondsCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for DIRECTIONS for questions: Answer the questions on the basis of the information given below.Ram Kumar wanted to come down from the first floor to the ground floor of a shopping mall, whereas Kishore wanted to climb up from the ground floor to the first floor. Both used the same escalator (a moving staircase) which was ascending from the ground floor to the first floor and both walked towards their respective destinations at their normal speeds. Both of them started simultaneously from the top and the bottom of the escalator respectively and crossed each other after exactly 21 seconds. If instead, Kishore had walked at 1/3rd of his normal speed while Ram Kumar maintained his normal speed, they would have crossed each other after exactly 28 seconds from the start. Further, if both Ram Kumar and Kishore had climbed up from the ground floor to the first floor using the same ascending escalator, walking at their normal speeds, the number of steps taken by Kishore to reach the first floor would be 20% less than the number of steps taken by Ram Kumar for the same.Q.Ram Kumar walked down from the first floor to the ground floor using the same escalator. However, after some time the escalator stopped moving due to a power failure. Find the total time taken by Ram Kumar to reach the ground floor, given that the time for which he walked on the moving escalator was the same as that for which he walked on the stationary escalator.a)25 x 11 / 13 secondsb)37 x 1 / 3secondsc)48 secondsd)56 secondsCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of DIRECTIONS for questions: Answer the questions on the basis of the information given below.Ram Kumar wanted to come down from the first floor to the ground floor of a shopping mall, whereas Kishore wanted to climb up from the ground floor to the first floor. Both used the same escalator (a moving staircase) which was ascending from the ground floor to the first floor and both walked towards their respective destinations at their normal speeds. Both of them started simultaneously from the top and the bottom of the escalator respectively and crossed each other after exactly 21 seconds. If instead, Kishore had walked at 1/3rd of his normal speed while Ram Kumar maintained his normal speed, they would have crossed each other after exactly 28 seconds from the start. Further, if both Ram Kumar and Kishore had climbed up from the ground floor to the first floor using the same ascending escalator, walking at their normal speeds, the number of steps taken by Kishore to reach the first floor would be 20% less than the number of steps taken by Ram Kumar for the same.Q.Ram Kumar walked down from the first floor to the ground floor using the same escalator. However, after some time the escalator stopped moving due to a power failure. Find the total time taken by Ram Kumar to reach the ground floor, given that the time for which he walked on the moving escalator was the same as that for which he walked on the stationary escalator.a)25 x 11 / 13 secondsb)37 x 1 / 3secondsc)48 secondsd)56 secondsCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice DIRECTIONS for questions: Answer the questions on the basis of the information given below.Ram Kumar wanted to come down from the first floor to the ground floor of a shopping mall, whereas Kishore wanted to climb up from the ground floor to the first floor. Both used the same escalator (a moving staircase) which was ascending from the ground floor to the first floor and both walked towards their respective destinations at their normal speeds. Both of them started simultaneously from the top and the bottom of the escalator respectively and crossed each other after exactly 21 seconds. If instead, Kishore had walked at 1/3rd of his normal speed while Ram Kumar maintained his normal speed, they would have crossed each other after exactly 28 seconds from the start. Further, if both Ram Kumar and Kishore had climbed up from the ground floor to the first floor using the same ascending escalator, walking at their normal speeds, the number of steps taken by Kishore to reach the first floor would be 20% less than the number of steps taken by Ram Kumar for the same.Q.Ram Kumar walked down from the first floor to the ground floor using the same escalator. However, after some time the escalator stopped moving due to a power failure. Find the total time taken by Ram Kumar to reach the ground floor, given that the time for which he walked on the moving escalator was the same as that for which he walked on the stationary escalator.a)25 x 11 / 13 secondsb)37 x 1 / 3secondsc)48 secondsd)56 secondsCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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