Solve.
-A cyclist bikes at a constant speed for 24 miles. He then returns home at the same speed but takes a different route. His return trip takes one hour longer and is 29 miles. Find his speed.
A) $6 \mathrm { mph }$
B) $7 \mathrm { mph }$
C) $4 \mathrm { mph }$
D) $5 \mathrm { mph }$

Question

Quizplus · Accepted Answer

Let the speed be $ x $ mph. The time for the first trip is $ \frac{24}{x} $ hours, and the return trip is $ \frac{29}{x} $ hours. The return trip takes 1 hour longer, so $ \frac{29}{x} = \frac{24}{x} + 1 $. Solving for $ x $, we get $ x = 5 $ mph.

Solve -A Cyclist Bikes at a Constant Speed for 24 6mph6 \mathrm { mph }6mph

Solve
-A Cyclist Bikes at a Constant Speed for 24 $6 \mathrm { mph }$