High School

In a hundred metres race, a defeats b by 10 metres and c by 13 metres, then in the 10 metres race by what distance will b defeat c?

Answer :

Final answer:

In a 10 metres race, B would defeat C by 0.3 metres, assuming their speeds remain constant.

Explanation:

In the hundred metres race, if A defeats B by 10 metres and A defeats C by 13 metres, this means when A finishes the race, B is 10 metres behind A, and C is 13 metres behind A. Since we know B is 3 metres ahead of C at this point (13 metres - 10 metres), we can calculate the distance by which B would defeat C in a 10 metres race.

Let's assume the speed of B and C remains consistent in the shorter race. If B is 3 metres ahead in a 100 metres race, in a 10 metres race, B would be 0.3 metres ahead of C because
(10 metres / 100 metres)
* 3 metres = 0.3 metres. So B will defeat C by 0.3 metres in a 10 metres race.