A’s speed is 17/15 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 the race ends in a dead heat? Options: A) 1/16 B) 2/15 C) 2/17 D) 1/8 E) 1/7
Let x be the fraction of the distance that B runs.   Let v be the speed at which B runs.   The time should be the same for both runners.   Time = D / (17v/15) = xD/v   (15/17)*D/v = x*D/v   x = 15/17   B should have a head start of 2/17 of the full distance.   The answer is 2/17.
<result>C</result>
A’s speed is 17/15 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 the race ends in a dead heat?