A boy while walking takes 23 steps in 15 seconds to come down by an escalator that is coming down. Find the total number of steps in the escalator, if the same boy takes 31 steps in 10 seconds to come down while running, on the same escalator that is coming in the downward direction.

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Solution

The correct option is B 47
Let the speed of the escalator be ‘x’ steps per second.
So, 23 + 15x = 31 + 10x
X = 1.6 steps per second
Hence, the total number of steps
= 23 + 15 X 1.6 = 47

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A boy while walking takes 23 steps in 15 seconds to come down by an escalator that is coming down. Find the total number of steps in the escalator, if the same boy takes 31 steps in 10 seconds to come down while running, on the same escalator that is coming in the downward direction.

The correct option is B 47Let the speed of the escalator be ‘x’ steps per second. So, 23 + 15x = 31 + 10x X = 1.6 steps per second Hence, the total number of steps = 23 + 15 X 1.6 = 47

The correct option is B 47
Let the speed of the escalator be ‘x’ steps per second.
So, 23 + 15x = 31 + 10x
X = 1.6 steps per second
Hence, the total number of steps
= 23 + 15 X 1.6 = 47