CAT 1994 — QA Question 23
Relative SpeedEasy
A and B walk from X to Y, a distance of 27 km at 5 kmph and 7 kmph respectively. B reaches Y and immediately turns back meeting A at Z. What is the distance from X to Z?
Answer & solution
Correct answer: 22.5 km
- A
25 km
22.5 km
- C
24 km
- D
20 km
Solution
Let they meet at a distance x kms from X.
So the total distance travelled by A = x at the speed of 5 kmph.
Total distance travelled by B = 27 + (27 – x) = (54 – x) at the speed of 7 kmph.
Time taken by A = .
Time taken by B =
Since they have met at the same time, they would have travelled for the same time. Hence or x = 22.5 kms.