A’s speed is 22/19 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?	Choose the most appropriate option.
A) 1/22 B) 1/19 C) 3/19 D) 2/19 E) 3/22
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 22 meters, B covers 19 meters in that time. So if the race is 22 meters long, when A reaches the finish line, B would be 3 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 3 meters so that he doesn’t need to cover that. In that case, the time required by A (to cover 22 meters) would be the same as the time required by B (to cover 19 meters) to reach the finish line.   So B should get a head start of 3/22th of the race.   Answer (3/22)
<result>E</result>
A’s speed is 22/19 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?