SOLUTION: A motor boat leaves the harbor traveling at 10 mph. Three hours later a cabin cruiser leaves the harbor traveling at 30 mph. In how many hours after the cabin cruiser leaves will i

Question 681797: A motor boat leaves the harbor traveling at 10 mph. Three hours later a cabin cruiser leaves the harbor traveling at 30 mph. In how many hours after the cabin cruiser leaves will it be along side the motor boat?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A motor boat leaves the harbor traveling at 10 mph. Three hours later a cabin cruiser leaves the harbor traveling at 30 mph. In how many hours after the cabin cruiser leaves will it be along side the motor boat?
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Motor Boat DATA:
rate = 10 mph ; time = x + 3 hrs ; distance = 10(x+3) miles
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Cruiser DATA:
rate = 30 mph ; time = x hrs ; distance = 30x miles
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Equation:
distance = distance
10x + 30 = 30x
20x = 30
x = 3/2 hrs. (time to catch the motor boat)
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Cheers,
Stan H.
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