Elon Musk

CAT Preparation Community 4y ago

pavan walked up a descending escalator and took 154 steps in 100 sec to reach the top. Rishabh started simultaneously from the top taking 3 steps for every 4 steps taken by pavan, reach the bottom in 40sec. How many steps from bottom were they when they crossed each other?

1

Akarsha Mandala 3y ago

Total steps = N Speed of escalator = e N/4x - e = 154/4x = 100 N/3x+e = 40 Solving, we get N = 77, x = 77/200 and e = 77/100 They will meet after 77/4x+3x seconds, i.e. 200/7 seconds Number of steps from bottom = (4x-e)*200/7 = 22 steps Hope this helps!

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