Solve.
-A man rode a bicycle for 12 miles and then hiked an additional 8 miles. The total time for the trip was 5 hours. If his rate when he was riding a bicycle was 10 miles per hour faster than his rate walking, what was each rate?
A)Bike: 11.5 mph
Hike: 1.5 mph

B)Bike: 13 mph
Hike: 3 mph

C)Bike: Bike: 14.5 mph
Hike: 4.5 mph

D)Bike: 12 mph
Hike: 2 mph

Question

Solve.
-A man rode a bicycle for 12 miles and then hiked an additional 8 miles. The total time for the trip was 5 hours. If his rate when he was riding a bicycle was 10 miles per hour faster than his rate walking, what was each rate?
A)Bike: 11.5 mph
Hike: 1.5 mph

B)Bike: 13 mph
Hike: 3 mph

C)Bike: Bike: 14.5 mph
Hike: 4.5 mph

D)Bike: 12 mph
Hike: 2 mph

Quizplus · Accepted Answer

Let the hiking speed be x mph, then biking speed is x + 10 mph. The time for biking is 12/(x + 10) hours and for hiking is 8/x hours. The total time is 5 hours, so 12/(x + 10) + 8/x = 5. Solving this equation gives x = 2 mph for hiking and x + 10 = 12 mph for biking.

Solve. -A Man Rode a Bicycle for 12 Miles and Then