A’s speed is 20/19 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?	Pick one.
A) 1/19	B) 3/19	C) 1/10	D) 1/20	E) 3/10
Let D be the full distance.   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 / (20v/19) = xD/v   (19/20)*D/v = x*D/v   x = 19/20   B should have a head start of 1/20 of the full distance.   The answer is 1/20.
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A’s speed is 20/19 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?