If a person walks at $\frac45$ of the usual speed, he takes $16$ minutes more than usual. The usual time is:

Question

If a person walks at $\frac45$ of the usual speed, he takes $16$ minutes more than usual. The usual time is:

Option A

48 minutes

Option B

60 minutes

Option C — Correct answer

64 minutes

Correct choice.

Option D

80 minutes

Explanation

If new speed is $\frac45$ of usual speed, new time is $\frac54$ of usual time. The increase is $\frac14$ of usual time, which equals $16$ minutes. So usual time is $64$ minutes.

Chapter Mock 8: Speed, Time and Distance