Solve.
-A cyclist bikes at a constant speed for 21 miles. He then returns home at the same speed but takes a different route. His return trip takes one hour longer and is 26 miles. Find his speed.
A)4 mph
B)7 mph
C)6 mph
D)5 mph

Question

Quizplus · Accepted Answer

The cyclist's speed is the same for both trips. Let the speed be x mph. The time for the first trip is 21/x hours, and the time for the return trip is 26/x hours. The return trip takes one hour longer, so 26/x = 21/x + 1. Solving for x gives x = 5 mph.

Solve. -A Cyclist Bikes at a Constant Speed for 21 Miles