CAT 1995 — QA Question 23
EscalatorEasy
I live X floors above the ground floor of a high-rise building. It takes me 30 s per floor to walk down the steps and 2 s per floor to ride the lift. What is X, if the time taken to walk down the steps to the ground floor is the same as to wait for the lift for 7 min and then ride down?
Answer & solution
Correct answer: 15
- A
4
- B
7
- C
14
15
Solution
Since I live X floors above the ground floor and it takes me 30 s per floor to walk down and 2 s per floor to ride the lift, it takes 30X s to walk down and 2X s to ride the lift after waiting 420 s.
⇒ 30X = 2X + 420 ⇒ X = 15.
Alternative method:
X > 14 as time taken to walk has to be greater than 7 min.