Question

If in a race of 240 m M can beat N by 40 m and P by 70 m, then N can beat P by:

• A. 24m
• B. 20m
• C. 30m
• D. 36m
• E. 40m

Answer 1

The correct option is D

36m

In a race of 240m, as M beats N by 40m, when M runs 240m, N runs 200m.

Similarly, as M beats P by 70m, when M covers 240m, P covers 170m.

Hence, when N runs 200m, P runs 170m.

When N runs 240m, P runs $\frac{240\times 170}{200}=204m$

Hence, N beats P by 36m.