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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
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Two persons are climbing up on two moving escalators which have 120 s...
Given information:
- Total number of steps on each escalator = 120
- Ratio of 1st person's speed to that of 1st escalator = 2:3
- Ratio of 2nd person's speed to that of 2nd escalator = 3:5
Let's calculate the speed of each person and the speed of each escalator separately.
Speed of 1st person:
Let the speed of the 1st person be 2x steps per second. Therefore, the 1st person will cover 2x steps in one second.
Speed of 1st escalator:
Let the speed of the 1st escalator be 3y steps per second. Therefore, the 1st escalator will move 3y steps in one second.
Speed of 2nd person:
Let the speed of the 2nd person be 3a steps per second. Therefore, the 2nd person will cover 3a steps in one second.
Speed of 2nd escalator:
Let the speed of the 2nd escalator be 5b steps per second. Therefore, the 2nd escalator will move 5b steps in one second.
Now, let's calculate the number of steps taken by each person in one second.
Number of steps taken by the 1st person in one second:
= Speed of 1st person = 2x steps
Number of steps taken by the 1st escalator in one second:
= Speed of 1st escalator = 3y steps
Number of steps taken by the 2nd person in one second:
= Speed of 2nd person = 3a steps
Number of steps taken by the 2nd escalator in one second:
= Speed of 2nd escalator = 5b steps
Total number of steps taken by both persons in one second:
= Number of steps taken by the 1st person + Number of steps taken by the 2nd person
= 2x + 3a
Given that the total number of steps on each escalator is 120, we can set up the following equation:
Number of steps taken by the 1st person + Number of steps taken by the 2nd person = Total number of steps on each escalator
2x + 3a = 120
Now, we need to find the values of x and a that satisfy this equation. However, there is not enough information given in the question to determine the values of x and a. Therefore, we cannot determine the exact total number of steps taken by both persons.
Hence, the correct answer cannot be determined based on the given information.
- Total number of steps on each escalator = 120
- Ratio of 1st person's speed to that of 1st escalator = 2:3
- Ratio of 2nd person's speed to that of 2nd escalator = 3:5
Let's calculate the speed of each person and the speed of each escalator separately.
Speed of 1st person:
Let the speed of the 1st person be 2x steps per second. Therefore, the 1st person will cover 2x steps in one second.
Speed of 1st escalator:
Let the speed of the 1st escalator be 3y steps per second. Therefore, the 1st escalator will move 3y steps in one second.
Speed of 2nd person:
Let the speed of the 2nd person be 3a steps per second. Therefore, the 2nd person will cover 3a steps in one second.
Speed of 2nd escalator:
Let the speed of the 2nd escalator be 5b steps per second. Therefore, the 2nd escalator will move 5b steps in one second.
Now, let's calculate the number of steps taken by each person in one second.
Number of steps taken by the 1st person in one second:
= Speed of 1st person = 2x steps
Number of steps taken by the 1st escalator in one second:
= Speed of 1st escalator = 3y steps
Number of steps taken by the 2nd person in one second:
= Speed of 2nd person = 3a steps
Number of steps taken by the 2nd escalator in one second:
= Speed of 2nd escalator = 5b steps
Total number of steps taken by both persons in one second:
= Number of steps taken by the 1st person + Number of steps taken by the 2nd person
= 2x + 3a
Given that the total number of steps on each escalator is 120, we can set up the following equation:
Number of steps taken by the 1st person + Number of steps taken by the 2nd person = Total number of steps on each escalator
2x + 3a = 120
Now, we need to find the values of x and a that satisfy this equation. However, there is not enough information given in the question to determine the values of x and a. Therefore, we cannot determine the exact total number of steps taken by both persons.
Hence, the correct answer cannot be determined based on the given information.
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Community Answer
Two persons are climbing up on two moving escalators which have 120 s...
First person
For every 2 steps he takes, escalator moves by 3 steps in 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, escalator moves by 5 steps in 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
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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)75Correct answer is option 'B'. Can you explain this answer?
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