SOLUTION: It takes a cabin cruiser 3 hours longer to travel 50kms than it takes a power boat to travel 60kms. The cruiser travels one third the speed of the power boat. Find the speed of ea

Question 139296: It takes a cabin cruiser 3 hours longer to travel 50kms than it takes a power boat to travel 60kms. The cruiser travels one third the speed of the power boat. Find the speed of each boat.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
It takes a cabin cruiser 3 hours longer to travel 50kms than it takes a power boat to travel 60kms. The cruiser travels one third the speed of the power boat. Find the speed of each boat.
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Cruiser DATA:
distance = 50 km ; rate = x kph ; time = 50/x hrs
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Power Boat DATA:
distance = 60 km ; rate = 3x kph ; time = 60/(3x) hrs
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EQUATION:
cruise time = power boat time + 3 hrs.
50/x = 60/3x + 3
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Multiply thru by 3x to get:
150 = 60 + 9x
210 = 9x
x = 70/3 = 23 1/3 kph (cruiser speed)
3x = 70 kph (power boat speed)
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Cheers,
Stan H.
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