All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
CAT Exam  >  CAT Questions  >   Two persons are climbing up on two moving es... Start Learning for Free
SaveJoin the Discussion on the App
Two persons are climbing up on two moving escalators which have 120 steps. The ratio of 1st person's speed to that of 1st escalator is 2:3 (steps). The ratio of 2nd person's speed to that of 2nd escalator is 3: 5 (steps). The total number of steps taken by both the persons are
  • a)
    85
  • b)
    93
  • c)
    80
  • d)
    75
  • e)
    95
Correct answer is option 'B'. Can you explain this answer?
FREE This question is part of
Download PDF Attempt Test
Download PDF Attempt this Test
Verified Answer
Two persons are climbing up on two moving escalators which have 120 s...
First person: For every 2 steps he takes, the escalator moves by 3 steps at the same time. Hence, 5 steps are covered at a time.
This is repeated 24 times(120/5).
Hence, first person takes = 24 X 2 = 48 steps
Second person: For every 3 steps he takes, the escalator moves by 5 steps at the same time.
Hence, 8 steps are covered at a time.
This is repeated for 15 times(120/8)
Hence, second person takes = 3 X 15 = 45 steps
Total number of steps = 48 + 45 = 93
View all questions of this test
Most Upvoted Answer
Two persons are climbing up on two moving escalators which have 120 s...
Problem Solving Approach:

Let us solve this problem step by step.

Given:

- The total number of steps in both the escalators is 120.
- The ratio of the 1st person's speed to the 1st escalator is 2:3.
- The ratio of the 2nd person's speed to the 2nd escalator is 3:5.

Let us find the steps covered by each person in one minute:

- Speed of the 1st person = 2/3 of the speed of the 1st escalator (as per the given ratio)
- Speed of the 2nd person = 3/5 of the speed of the 2nd escalator (as per the given ratio)
- Steps covered by the 1st person in one minute = (2/3) * 120 = 80
- Steps covered by the 2nd person in one minute = (3/5) * 120 = 72

Therefore, the total number of steps covered by both persons in one minute = 80 + 72 = 152

Now, we need to find the total number of steps covered by both persons. We can do this by finding the time taken by both persons to cover 120 steps and then multiplying it by the total steps covered in one minute.

Let us find the time taken by each person to cover 120 steps:

- Time taken by the 1st person to cover 120 steps = 120/80 = 1.5 minutes
- Time taken by the 2nd person to cover 120 steps = 120/72 = 1.67 minutes

Now, let us find the total steps covered by both persons:

- Total steps covered by both persons = (1.5 + 1.67) * 152 = 92.64

Rounding off to the nearest integer, we get the total number of steps covered by both persons as 93.

Hence, the correct answer is option B) 93.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
< Previous Question Next Question >
Explore Courses for CAT exam

Similar CAT Doubts

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 staircas e) 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.

Top Courses for CATView all

Top Courses for CAT

Two persons are climbing up on two moving escalators which have 120 steps. The ratio of 1st person's speed to that of 1st escalator is 2:3 (steps). The ratio of 2nd person's speed to that of 2nd escalator is 3: 5 (steps). The total number of steps taken by both the persons area) 85b) 93c) 80d) 75e) 95Correct answer is option 'B'. Can you explain this answer?
Question Description
Two persons are climbing up on two moving escalators which have 120 steps. The ratio of 1st person's speed to that of 1st escalator is 2:3 (steps). The ratio of 2nd person's speed to that of 2nd escalator is 3: 5 (steps). The total number of steps taken by both the persons area) 85b) 93c) 80d) 75e) 95Correct answer is option 'B'. 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 Two persons are climbing up on two moving escalators which have 120 steps. The ratio of 1st person's speed to that of 1st escalator is 2:3 (steps). The ratio of 2nd person's speed to that of 2nd escalator is 3: 5 (steps). The total number of steps taken by both the persons area) 85b) 93c) 80d) 75e) 95Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two persons are climbing up on two moving escalators which have 120 steps. The ratio of 1st person's speed to that of 1st escalator is 2:3 (steps). The ratio of 2nd person's speed to that of 2nd escalator is 3: 5 (steps). The total number of steps taken by both the persons area) 85b) 93c) 80d) 75e) 95Correct answer is option 'B'. Can you explain this answer?.
Solutions for Two persons are climbing up on two moving escalators which have 120 steps. The ratio of 1st person's speed to that of 1st escalator is 2:3 (steps). The ratio of 2nd person's speed to that of 2nd escalator is 3: 5 (steps). The total number of steps taken by both the persons area) 85b) 93c) 80d) 75e) 95Correct answer is option 'B'. 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 Two persons are climbing up on two moving escalators which have 120 steps. The ratio of 1st person's speed to that of 1st escalator is 2:3 (steps). The ratio of 2nd person's speed to that of 2nd escalator is 3: 5 (steps). The total number of steps taken by both the persons area) 85b) 93c) 80d) 75e) 95Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Two persons are climbing up on two moving escalators which have 120 steps. The ratio of 1st person's speed to that of 1st escalator is 2:3 (steps). The ratio of 2nd person's speed to that of 2nd escalator is 3: 5 (steps). The total number of steps taken by both the persons area) 85b) 93c) 80d) 75e) 95Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Two persons are climbing up on two moving escalators which have 120 steps. The ratio of 1st person's speed to that of 1st escalator is 2:3 (steps). The ratio of 2nd person's speed to that of 2nd escalator is 3: 5 (steps). The total number of steps taken by both the persons area) 85b) 93c) 80d) 75e) 95Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Two persons are climbing up on two moving escalators which have 120 steps. The ratio of 1st person's speed to that of 1st escalator is 2:3 (steps). The ratio of 2nd person's speed to that of 2nd escalator is 3: 5 (steps). The total number of steps taken by both the persons area) 85b) 93c) 80d) 75e) 95Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Two persons are climbing up on two moving escalators which have 120 steps. The ratio of 1st person's speed to that of 1st escalator is 2:3 (steps). The ratio of 2nd person's speed to that of 2nd escalator is 3: 5 (steps). The total number of steps taken by both the persons area) 85b) 93c) 80d) 75e) 95Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup