Question

In a race track of 1000m a beats b by 200m.B beats c by 150m.By what distance can a defeat c in a race track of 100 m?

Answer 1

Answer:

Step-by-step explanation:

In a race of 1 km: A:B = 1 000: 980, B:C = 1 000: 950. A:C = (1 000/980)(1 000/950) = (1 000/931) = 1 000: 931 ie A beats C by 69 m.

Answer 2

Answer:

35 meters

Step-by-step explanation:

Given,

Total race = 1000 meters,

If a beats b by 200 m and b beats c by 150 m,

Then the ratio of the distance covered by a, b and c = 1000 : 800 : 650,

Thus, the ratio of the distance covered by a and c = 1000 : 650 = 100 : 65

∵ 100 - 65 = 35

Therefore,

a defeats c by 35 meters in a race track of 100 m