Problema Solution

taylor rode a scooter from home to the pizza place at an average speed of 6 miles per hour, and then rode a scooter back the same way at an average speed of 15 miles per hour. if the round trip took 2 hours and 45 minutes, how many miles is taylor's one-way trip from home to the pizza place?

Answer provided by our tutors

let


d = miles from home to the pizza place


v1 = 6 mph the average speed to the pizza place


v2 = 15 mph the average speed back


t = 2 hr 45 min = 2 + 45/60 = 2.75 hr


since v = d/t follows t = d/v


d/v1 + d/v2 = 2.75


d/6 + d/15 = 2.75


by solving we find:


d = 11.79 mi


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Taylor's one-way trip from home to the pizza place is 11.79 miles.