A’s speed is 30% more than that of B. If A and B run a race on a 117 m length, what part of the length of the race should A give B a head start so that the race ends in a dead heat?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 27 m.
Let the head start given by A to B is d
A is 30% faster than B
B's speed = x
⇒ A's speed = x × 130/100 = 13x/10
The time taken by both is the same
Time = Distance/Speed
⇒ 117/13x/10 = (117 - d)/x
⇒ 1170/13x = (117 - d)/x
⇒ 90 = 117 - d
⇒ d = 117 - 90
⇒ d = 27 m.