Bill can run the 440 yard dash in 55 seconds, and jack can run it in 88 seconds. How great a handicap must Bill give Jack for the boys to finish the race at the same time?

A) 165 yards

B) 242 yards

C) 275 yards

Bill must give Jack a handicap of 165 yards to finish the race at the same time. The correct answer is A. 165 yards.

Step-by-step explanation:

1. Let's review the information given to answer the question correctly:

Bill can run 440 yards in 55 seconds

Bill speed = 8 yards per second (440/55)

Jack can run 440 yards in 88 seconds

Jack speed = 5 yards per second (440/88)

2. How great a handicap must Bill give Jack for the boys to finish the race at the same time?

The total duration of the race will be 55 seconds

Using Rule of Three Simple, we have that:

Jack will run 55 * 5

Jack will run 275 yards in 55 seconds

Bill must give Jack a handicap of 440 - 275 yards

Bill must give Jack a handicap of 165 yards to finish the race at the same time. The correct answer is A. 165 yards.