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Q.

A man walks up a stationary escalator in 90sec. When this man stands on a moving escalator, he goes up in 60 sec. The time taken by the man to walk up the moving escalator is

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a

48 s

b

45 s

c

36 s

d

30 s

answer is C.

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Detailed Solution

$V_{p} = \frac{d}{t_{1}}$

$V_{e} = \frac{d}{t_{2}}$

$V_{p} + V_{e} = \frac{d}{t}$

$\frac{d}{t_{1}} + \frac{d}{t_{2}} = \frac{d}{t} \Rightarrow t = \frac{t_{1} t_{2}}{t_{1} + t_{2}}$

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