A’s speed is 20/16 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?	Choose the correct answer:
A) 1/17	B) 3/17	C) 1/10	D) 4/20	E) 3/10
We have the ratio of A’s speed and B’s speed. This means, we know how much distance A covers compared with B in the same time.   This is what the beginning of the race will look like:   (Start) A_________B______________________________   If A covers 20 meters, B covers 16 meters in that time. So if the race is 20 meters long, when A reaches the finish line, B would be 4 meters behind him. If we want the race to end in a dead heat, we want B to be at the finish line too at the same time. This means B should get a head start of 4 meters so that he doesn’t need to cover that. In that case, the time required by A (to cover 20 meters) would be the same as the time required by B (to cover 16 meters) to reach the finish line.   So B should get a head start of 4/20th of the race.   Answer (4/20)
<result>D</result>
A’s speed is 20/16 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?