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put this solution on YOUR website!A motorcycle breaks down and the rider must walk the rest of the way to work. The motorcycle was being driven at 45mph, and the rider walks at a speed of 6 mph. The distance from home to work is 25 miles, and the total for the trip was 2 hours. How far did the motorcycle go before it broke down?
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Motorcycle DATA:
rate = 45 mph ; distance = x miles; time = x/45 hrs.
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Walking DATA:
rate = 6 mph ; distance = 25-x miles ; time = (25-x)/6 hrs.
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EQUATION:
time + time = 2 hrs
x/45 + (25-x)/6 = 2
6x + 45(25-x) = 2*6*45
6x + 25*45 - 45x = 12*45
-39x = -13*45
x = 15 miles (distance the motorcycle went)
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Cheers,
Stan H.
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