In a race of 1200 meters, A beats B by 100 meters and B beats C by 300 meters. By how much meters A beats C?

In a race of 1200 meters, A beats B by 100 meters and B beats C by 300 meters. By how much meters A beats C? Correct Answer 375 meters

GIVEN:

In a race of 1200 meters, A beats B by 100 meters and B beats C by 300 meters.

CONCEPT:

Relative speed.

A beats B by 100 meters and B beats C by 300 meters.

That means:

B covered 1100 meters ( = 1200 – 100) when A covered 1200 meters and

C covered 900 meters ( = 1200 – 300) when B covered 1200 meters.

CALCULATION:

⇒ Distance covered by C when B covered 1100 meters = (900/1200) × 1100 = 825 meters

⇒ Distance covered by C when A covered 1200 meters = 825 meters

That means, A beats C by 375 meters ( = 1200 – 875)

∴ A beats C by distance = 375 meters