Question

In a 500 m race, A can beat C by 35 m and B by 159 m. In a race of 1500 m, C will beat B by:

• A. 356 m
• B. 350 m
• C. 360 m
• D. 400 m

Answer 1

The correct option is D

400 m

A : C = 500 : 465 and A : B = 500 : 341

$\frac{C}{B}=(\frac{C}{A}\times \frac{A}{B})=(\frac{465}{500}\times \frac{500}{341})$ = 15 : 11

When C covers 15 m, B covers 11 m

When C covers 1500 m, B covers $(\frac{11}{15}\times 1500)m=1100m.$

Therefore, C beats B by (1500 - 1100) m = 400 m.