SOLUTION: I need help with this question: "You traveled 72 miles in a certain time period. If you had traveled 6 miles per hour faster, the trip would have taken 10 minutes less time. What w
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Question 971590: I need help with this question: "You traveled 72 miles in a certain time period. If you had traveled 6 miles per hour faster, the trip would have taken 10 minutes less time. What was your speed" Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! "You traveled 72 miles in a certain time period. If you had traveled 6 miles per hour faster, the trip would have taken 10 minutes less time. What was your speed"
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Original DATA:
dist = 72 miles ; rate = r mph ; time = d/r = 72/r hrs
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New DATA:
dist = 72 miles ; rate = r+6 mph ; time = 72/(r+6)
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Equation:
original time - new time = 1/6 hr
72/x - 72/(x+6) = 1/6
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72*6*(x+6) - 72*6*x = x(x+6)
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72*6*6 = x^2+6x
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x^2+6x-2592 = 0
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Ans: r = 48 mph
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Cheers,
Stan H.
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