A's speed is 20/13 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that B beats A by 25% of the length of the race?  Choose the correct choice from the following options:	A) 44%	B) 48%	C) 52%	D) 42%	E) 61%
First calculate the distance, B has covered with his speed in the time, in which A reached 60% of the race.   Then Add the remaining distance as head start for B to win the race.   Its best to apply Ratios concept here.   Since A's speed is 20/13 of B, therefore, B's speed is 13/20 of A   Distance covered by B = speed x time = (13/20) x (0.6) = 0.39%   (Which means B would have covered 0.39 of the race length during the time in which A has covered 0.6 of the race length.   Therefore to win, B needs a headstart of (1 - 0.39 = ) 0.61 of the race length.   So the answer is 61%
<result>E</result>
A's speed is 20/13 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that B beats A by 25% of the length of the race?