An escalator qs.

[sourya chatterjee]

Katrina walks down an up-escalator and counts 150 steps. Priyanka
walks up the same escalator and counts 75 steps. Katrina takes three
times as many steps in a given time as Priyanka. How many steps are
visible on the escalator?

a.
105
b.
150
c.
135
d.
120
e.
None of these

[ramneet chanana]

120?

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Regards,
Suvrit Chadha

[sourya chatterjee]

yes...120 is correct.

[sais...@gmail.com]

Let Priyanka and Katrina takes x steps and 3x steps per second respec. Let the escalator takes y steps per second. As per the question:-

150 - 150y/3x = 75 + 75y/x

Solving it we get y/x = 3/5

Hence total steps in the escalator are 150 - 50 . 3/5 = 120

The general method of solving these questions is to equate the total number of steps on the escalator by assuming the speed of the escalator.

Saral
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