A’s speed is 25/18 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) 1/18  B) 7/18  C) 7/25  D) 3/25  E) 1/25
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 25 meters, B covers 18 meters in that time. So if the race is 25 meters long, when A reaches the finish line, B would be 7 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 7 meters so that he doesn’t need to cover that. In that case, the time required by A (to cover 25 meters) would be the same as the time required by B (to cover 18 meters) to reach the finish line.   So B should get a head start of 7/25th of the race.   Answer (7/25)
<result>C</result>
A’s speed is 25/18 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?