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In a 1000 m race, A can beat B by 100 m. In a race of 400 m, B can beat C by 40 m. By how many metres will A beat C in a race of 500 m ?

In a 1000 m race, A can beat B by 100 m. In a race of 400 m, B can beat C by 40 m. By how many metres will A beat C in a race of 500 m ? Correct Answer 95 m

A : B = 1000 : 900,
B : C = 400 : 360 = 100 : 90 = 900 : 810
⇒ A : B : C = 1000 : 900 : 810
⇒ A : C = 1000 : 810
⇒ A : C = 500 : 405
⇒ In a 500 m race, A beats C by (500 - 405) m = 95 m

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