Question

An athlete covers Y km in x hours at P km/hr, another man covers Y/2 km in 2x hours at Q km/hr. Then what is the value of the ratio P: Q?

• A. 4:1
• B. 2:1
• C. 1:4
• D. 1:2
• E. 1:3

Answer 1

The correct option is A

4:1

Distance covered by 1st man at P kmph = Y km

Time taken by him = x hours.

Therefore, Speed = P = $\frac{Y}{x}$ kmph.

Distance covered by 2nd man at Q km/hr = $\frac{Y}{2}$ km

Time taken by him = 2x hours

Therefore, Speed = Q = $\frac{\frac{Y}{2}}{2x}kmph=\frac{Y}{4x}kmph$

Required ratio = P: Q = $\frac{Y}{x}:\frac{Y}{4x}=1:\frac{1}{4}=4:1$