Alex is running a race, and he is 100 meters from the finish line. However, his opponent is 10 meters in front of him! If Alex and his opponent are both running at 8 m/s, how much faster must Alex run to beat his opponent?
A)0)15 m/s
B)0)25 m/s
C)0)67 m/s
D)0)90 m/s
E)1)51 m/s

Question

Quizplus · Accepted Answer

Alex needs to run 0.90 m/s faster, or at a total rate of 8.9 m/s, to catch and beat his opponent. At the rate his opponent is running, he will reach the finish line in 90m/8(m/s), or 11.25 seconds. Thus, Alex needs to run 100 meters in less than 11.25 seconds. 100/11.25 = 8.88 m/s, meaning Alex needs to run more than 0.88 m/s, or about 0.90 m/s faster, to beat his opponent.

Alex Is Running a Race, and He Is 100 Meters