A container ship traveled to Mexico and back. The trip there took six hours and the trip back took five hours. It averaged 30 mph on the return trip. Find the average speed of the trip there. (hint: Calculate the return trip first.)

melodykap 2020-10-28 Answered
A container ship traveled to Mexico and back. The trip there took six hours and the trip back took five hours. It averaged 30 mph on the return trip. Find the average speed of the trip there. (hint: Calculate the return trip first.)
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Expert Answer

SkladanH
Answered 2020-10-29 Author has 80 answers

Average speed = total distance/total time so you need to find the ship's total distance traveled and the total time the ship traveled.
To find the total distance traveled, first find the distance for the return trip.
Distance = (rate)(time) so if the trip back took 5 hours and the ship averaged 30 mph, then the distance the ship traveled on the trip back was (30 mph)(5 h) = 150 miles.
The distances for both trips are the same so the distance there was also 150 miles.
Since the ship traveled a total distance of 150 miles + 150 miles = 300 miles and the total time is 6 hours + 5 hours = 11 hours, then the ship's average speed was:
avarage speed =300 miles11 hours27.3 mph

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