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13-01-2022 Races and Games

Q. In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:

A. 5.4 m
B. 4.5 m
C. 5 m
D. 6 m


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Dapzoi Verified
Commented on 2022-01-15 10:51:37 (IST)
Answer: Option D

 

Explanation:

A : B = 100 : 90.

A : C = 100 : 87.

B/C = B/A x A/C = 90/100 x 100/87 = 30/29 

When B runs 30 m, C runs 29 m.

When B runs 180 m, C runs  (29/30 * 180)m = 174 m.

 B beats C by (180 - 174) m = 6 m.