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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:



Your Answer
A

356 m

Your Answer
B

350 m

Your Answer
C

360 m

Correct Answer
D

400 m


Solution

The correct option is D

400 m


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

CB=(CA×AB)=(465500×500341) = 15 : 11

When C covers 15 m, B covers 11 m

When C covers 1500 m, B covers (1115×1500)m=1100m.

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

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