Question

It takes one minute for a passenger standing on an escalator to reach the top. If escalator does not move it takes him three minutes walk up. How long will it take for passenger to arrive at top if he walks up the moving escalator?

a.) 30 sec. b.) 45 sec. c.) 40 sec. d.) 35 sec

Answer 1

Answer:

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Answer 2

Given:

Time taken by passenger to reach the top = 1 min

If escalator does not move time taken. = 3 min

To Find:

Time taken for passenger to reach top

Solution:

Let the distance to the top be = d

Speed of passenger with escalator not moving = d/1 m/min

Speed of man with escalator at rest = d/3 m/min

When both move at a speed = d/3 + d = 4d/3

Thus, time taken = Distance/Speed

= d/4d/3

= 3/4min

= 45 seconds

Answer: The time taken by passenger is 45 seconds