CAT 2022 Slot 3 QA Question 18: Moody takes 30 seconds to finish riding an escalator if he walks on it at his normal speed in the same direction. He takes 20 seconds to finish riding the escalator if he walks at twice his normal spe

Question

Moody takes 30 seconds to finish riding an escalator if he walks on it at his normal speed in the same direction. He takes 20 seconds to finish riding the escalator if he walks at twice his normal spe

Accepted Answer

Let Moody’s normal walking speed be $w$ steps/sec and the escalator speed be $e$ steps/sec. Let the total number of steps be $L$.
$L = 30(w + e)$
$L = 20(2w + e)$
Equating the two expressions for L,
$30w + 30e = 40w + 20e$
$e = w$
Then
$L = 30(w + e) = 30(2e) = 60e$
If Moody stands still, only the e