Question
Two guys Abhinav and Bineesh are walking downward and upward respectively on a descending escalator. Abhinav takes three steps in the same time when Bineesh takes two steps. When Abhinav covers 90 steps he gets out of the escalator while Bineesh takes 80 steps to get out of the escalator. If they start from opposite ends using the same escalator find the difference in steps covered by them when they meet.
Answer: Option D
:
D
Let the escalator move x steps when A walks down 90 steps. Total number of steps on a stationary escalator = x + 90.
When A takes 90 steps, B should have taken 60 steps and the escalator x steps. So when B takes 80 steps, the escalator should have taken 43×x steps.
So, 43×x+80=x+90
Total number of steps in the escalator when it is stationary. So x = 30. Hence, total number of steps = 120.
By the time they meet, together they will 120 steps in the ratio 3:2. i.e 72 and 48 steps. So difference is 24. Option (d).
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:
D
Let the escalator move x steps when A walks down 90 steps. Total number of steps on a stationary escalator = x + 90.
When A takes 90 steps, B should have taken 60 steps and the escalator x steps. So when B takes 80 steps, the escalator should have taken 43×x steps.
So, 43×x+80=x+90
Total number of steps in the escalator when it is stationary. So x = 30. Hence, total number of steps = 120.
By the time they meet, together they will 120 steps in the ratio 3:2. i.e 72 and 48 steps. So difference is 24. Option (d).
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