A’s speed is 17/14 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?	Select:  A) 1/14  B) 1/17  C) 3/14  D) 3/17  E) 1/31
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/14) = xD/v   (14/17)*D/v = x*D/v   x = 14/17   B should have a head start of 3/17 of the full distance.   The answer is 3/17.
<result>D</result>
A’s speed is 17/14 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?