SOLUTION: A boat sails 30km at a uniform rate. If the rate had been 1 km/h more, the time of the sailing would have been 1h less. Find the rate of travel.

Question 1059999: A boat sails 30km at a uniform rate. If the rate had been 1 km/h more, the time of the sailing would have been 1h less. Find the rate of travel.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A boat sails 30km at a uniform rate. If the rate had been 1 km/h more, the time of the sailing would have been 1h less. Find the rate of travel.
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slower rate DATA:
dist = 30 km ; rate = x kph ; time = d/r = 30/x hrs
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faster rate DATA:
dist = 30 km ; rate = (x+1) kph ; time = d/r = 30/(x+1) hrs
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slower - faster = 1 hr
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30/x - 30/(x+1) = 1
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30(x+1) - 30x = x^2+x
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x^2 + x - 30 = 0
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(x+6)(x-5) = 0
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Ans: slower rate = x = 5 km/h
faster rate = x+1 = 6 km/h
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Cheers,
Stan H.
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