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In a 4-kilometer long race, A wins B by 400 meters. In the same race, B gives a start of 400 meters to C. If A and C want to complete the 4 km race together, then how many meters does A give C start?

In a 4-kilometer long race, A wins B by 400 meters. In the same race, B gives a start of 400 meters to C. If A and C want to complete the 4 km race together, then how many meters does A give C start? Correct Answer 760 meter

Given:

A wins B by 400 meters

B give head start to C of 400 m

Total race = 4 km

Concept used:

A : B1

      B2 : C

A × B2 : B1 × B2 : C × B1

Calculation:

Ratio of distance covered by A and B

4000 : 36000 = 10 : 9

Ratio covered by B and C

4000 : 3600 = 10 : 9

Ratio of A : B : C is

10 × 10 : 10 × 9 : 9 × 9

⇒ 100 : 90 : 81

100 = 4000 m

So, 81 = 3240

A should give head start to B of

4000 - 3240 = 760 m

∴ A should give head start to C of 760 m.

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