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Question

A person walks up a stationary escalator in the time t1. If he remains stationary on the escalator, then it can take him up in time t2. Determine the time it would take to walk upon the moving escalator ?


A

t1t2t1+t2

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B

t1t2t1t2

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C

2t1t2t1+t2

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D

2t1t2t1t2

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Solution

The correct option is A

t1t2t1+t2


Explanation for the correct answer

Step 1. As we know that:

Suppose the length of the escalator = L

Speed of man w.r.t escalator = Lt1

Speed of escalator = Lt2

Step 2. Speed of man w.r.t ground when the escalator is moving,

vm=Lt1+Lt2vm=L1t1+1t2vm=Lt1+t2t1t2

Step 3. Time taken by the man to walk on the moving escalator,

t=Lvm

t=t1t2t1+t2

Hence, the correct option is (A).


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