The speed of A and B are in the ratio 3 : 4. A takes 15 minutes more than B to reach a destination. Time in which A reach the destination?

Question: The speed of A and B are in the ratio 3 : 4. A takes 15 minutes more than B to reach a destination. Time in which A reach the destination?

Solution:
Ratio of speed = 3 : 4
Ratio of time taken = 4 : 3

Let time taken by A and B be 4x and 3x hour respectively.

Now
4x - 3x = 15/60
x = 1/4

Hence, time taken by A = 4x hours
= 4 × 1/4
= 1 hour