Answers OC27 MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P Lesson 1.5: Solving Rate ProblemsQuestion 82943

82943

AssignmentMultiple Choice

Lesson 1.5: Solving Rate Problems

Question 82943 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

Alejandro rode his bike to work at an average rate of 15 miles per hour. To go home, he put his bike on the front rack of the bus and took the bus home along the same route, traveling at an average rate of 22.5 miles per hour. If Alejandro’s bike ride to work took 45 minutes, how many hours did the bus ride home take?

Answer

A

0.25 hours

B

0.3 hours

C

0.5 hours

D

0.75 hours

Explanation

First convert 45 minutes to hours: 45 ÷ 60 = 0.75 hours. Alejandro rode 15 × 0.75 = 11.25 miles to work, so the bus traveled 11.25 miles on the same route. At 22.5 miles per hour, the bus ride took 11.25 ÷ 22.5 = 0.5 hours, which is choice C, 0.5 hours.

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