The ratio of the speeds of A and B is 2 : 5. To cover a certain distance, if A takes 15 minutes more than B, then how much time (in minutes) will B take to cover the same distance?

Let speeds be 2x and 5x. Time = Distance/Speed. For same distance d: Time_A = d/2x, Time_B = d/5x. Given: Time_A = Time_B + 15 minutes. So d/2x = d/5x + 15. Distance cancels out: 1/2x = 1/5x + 15. Multiply by 10x: 5 = 2 + 150x, which gives 3 = 150x. This doesn't work. Let me reconsider: If we compare times directly, since speed is inversely proportional to time for constant distance, the time ratio is 5:2 (inverse of speed ratio). So if A takes 5 units of time, B takes 2 units. Difference is 3 units = 15 minutes, so 1 unit = 5 minutes. Therefore B takes 2 × 5 = 10 minutes.