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In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m ?

A. 127.5 m

B. 254 m

C. 184 m

D. 212 m

View Answer

Correct choice: A

Explanation:

When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m. When B runs 900 m, distance that C runs = (900 x 700)/800 = 6300/8 = 787.5 m. In a race of 1000 m, A beats C by (1000 - 787.5) = 212.5 m to C. In a race of 600 m, the number of meters by which A beats C= (600 x 212.5)/1000 = 127.5 m.

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Arithmetic Ability Races and Games

Arithmetic Ability
Races and Games