CAT 1995 — QA Question 30
Direction: Answer the questions based on the following information.
Four sisters — Suvarna, Tara, Uma and Vibha are playing a game such that the loser doubles the money of each of the other players from her share. They played four games and each sister lost one game in alphabetical order. At the end of fourth game, each sister had Rs.32.
A man can walk up a moving ‘up’ escalator in 30 s. The same man can walk down this moving ‘up’ escalator in 90 s. Assume that his walking speed is same upwards and downwards. How much time will he take to walk up the escalator, when it is not moving?
Answer & solution
- A
30 s
45 s
- C
60 s
- D
90 s
Let the length of the escalator be 90 ft.
(There is no loss of generality in making this assumption.)
Let the speed of the escalator be y ft per second and the man’s walking speed be x ft per second.
According to the question, we get
x + y
x - y
Adding the above equations, we get 2x = 4, i.e., x = 2.
∴ Time taken by the man to walk up the escalator
when it is not moving = or 45 s.