There is a escalator and 2 persons move down it.A takes 50 steps and b takes 75 steps while the escalator is moving down. Given that the time taken by a to take 1 step is equal to time taken by b to take 3 steps. Find the no. Of steps in the escalator while it is staionary.
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the answer of the queation is 25.
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Answer:
Step-by-step explanation:
Let us say that the escalator moves at the rate of n steps per second. Let us also say A takes 1 step per second and B takes 3 steps per second.
Case 1: When A is coming down
A will take 50 seconds to complete 50 steps.
In 50 seconds, escalator would have moved 50n steps.
Total number of steps on the stationary escalator = 50 + 50n
Case 2: When B is coming down
B will take 25 seconds to complete 75 steps
In 25 seconds, escalator would have moved 25n steps.
Total number of steps on the stationary escalator = 75 + 25n
Total number of steps on the stationary escalator is a constant
=> 50 + 50n = 75 + 25n
=> 25n = 25
=> n = 1
Total number of steps = 50 + 50 = 75 + 25 = 100.
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