In railway station,Hari has to catch the train so he chooses the escalator instead of cross the track to reach the top. The escalator is moving at the constant speed, if he takes 25 steps he would reach the top in 9 seconds. If he takes 7 steps he would reach in 15 seconds. Find the total number of steps in the escalator.?
Here Assume the escalator have n steps
Now, Hari covers n - 25 steps in 9 seconds and n - 7 steps in 15 seconds.
Given that the speed in either case is same.
Then we would have (n - 25)/9 = (n - 7)/15
(n - 25)/3 = (n - 7)/5
5n - 3n = 125 - 21 = 104.
n = 104/2
n = 52 steps
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