[76 metre] In a race of 600 m. A can beat B by 60 m and in a race of 500 m. B can beat C by 50 m. By how many m

For Competitive Exams

In a race of 600 m. A can beat B by 60 m and in a race of 500 m. B can beat C by 50 m. By how many metres will A beat C in a race of 400 m?

76 metre

74 metre

72 metre

78 metre

Explanation:

While A runs 600 m, B runs $\left(600-60\right)$=540 metre

$\text{=>While A runs 400 m, B runs }\dfrac{540}{600} \times 400\text{ = 360 metre}$

While B runs 500 m, C runs $\left(500-50\right)$=450 metre

$\text{=>While B runs 360 m, C runs }\dfrac{450}{500} \times 360\text{ = 324 metre}$

i.e., When A runs 400 metre, B runs 360 metre and C runs 324 metre.

Hence, A beats C by $\left(400-324\right)$=76 metre in a race of 400 m

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