SOLUTION: A tour boat makes the round trip from the mainland to a fishing village in 6 hours. If the average speed of the boat going to the village is 15 mph and the average speed returning
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Question 356297: A tour boat makes the round trip from the mainland to a fishing village in 6 hours. If the average speed of the boat going to the village is 15 mph and the average speed returning is 12 mph, how far from the mainland is the island? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A tour boat makes the round trip from the mainland to a fishing village in 6 hours.
If the average speed of the boat going to the village is 15 mph and the
average speed returning is 12 mph, how far from the mainland is the island?
:
Let d = the distance to the island
:
Write a time equation: time = dist/speed
:
time to + time back = 6 hrs + = 6
Multiply by 60 to clear the denominators; results:
4d + 5d = 60(6)
9d = 360
d =
d = 40 mi is the distance to the island
:
:
Confirm this by finding the actual time each way
40/15 = 2.67 hr
40/12 = 3.33 hr
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total = 6 hr
