Pierce drove to Allentown to baker, averaging 55 miles per hour. His journey back to Allentown using the same route took 3 hours longer because he averaged only 40 miles per hour. How long did it take him to drive to Allentown to baker? What is the distance between Allentown and baker?

Question

Mathematics

Elsie Santos

10 July, 20:47

Pierce drove to Allentown to baker, averaging 55 miles per hour. His journey back to Allentown using the same route took 3 hours longer because he averaged only 40 miles per hour. How long did it take him to drive to Allentown to baker? What is the distance between Allentown and baker?

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Answers (1)

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Hassan Carter · Answer 1

This problem can be solved using the formula

D = rt

Where d is the distance

R is the speed

T is the time

Then establish the two equation

D = 50t

D = 40 (t+3)

Equating the two quations

50t = 40 (t+3)

T = 12 hrs he took to drive from alentown to baker

D = 50x12 = 600 miles