SOLUTION: At the sailboat race, sailboats start at 1 minute intervals. Boat B is scheduled to start immediately following Boat A. The capt of boat B feels his boat can sail 1 km/h faster tha
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-> SOLUTION: At the sailboat race, sailboats start at 1 minute intervals. Boat B is scheduled to start immediately following Boat A. The capt of boat B feels his boat can sail 1 km/h faster tha
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Question 325480: At the sailboat race, sailboats start at 1 minute intervals. Boat B is scheduled to start immediately following Boat A. The capt of boat B feels his boat can sail 1 km/h faster than boat A. What is the average speed of each boat if Boat B overtakes Boat A 4km for the start? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! At the sailboat race, sailboats start at 1 minute intervals.
Boat B is scheduled to start immediately following Boat A.
The capt of boat B feels his boat can sail 1 km/h faster than boat A.
What is the average speed of each boat if Boat B overtakes Boat A 4km for the start?
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Boat A DATA:
distance = 4 km ; rate = x km/h ; time = 4/x hours
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Boat B DATA:
distance = 4 km ; rate = (x+1) km/h ; time = 4/(x+1) hrs
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Equation:
A time - B time = 1/60 hr
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4/x - 4/(x+1) = 1/60 hrs
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Multiply thru by 60x(x+1) to get:
4*60(x+1) - 4*60(x) = x(x+1)
240 = x^2+x
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x^2 +x -240 = 0
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(x-15)(x+16) = 0
Positive solution:
x = 15 km/h (A-boat speed)
x+1 = 16 km/h (B-boat speed)
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Cheers,
Stan H.
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