SOLUTION: Matt travels at a speed of 64km/hr, if Matt travelled at 78 km/hr he would arrive at his destination 10 Min earlier. What distance did Matt travel?

Question 664158: Matt travels at a speed of 64km/hr, if Matt travelled at 78 km/hr he would arrive at his destination 10 Min earlier. What distance did Matt travel?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Matt travels at a speed of 64km/hr, if Matt travelled at 78 km/hr he would arrive at his destination 10 Min earlier. What distance did Matt travel?
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Slower speed DATA:
rate = 64 km/hr ; distance = x km ; time = x/64 hrs
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Faster speed DATA:
rate = 78 km/hr ; distance = x km ; time = x/78 hrs
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Equation:
time - time = 1/6 hr
-------
x/64 - x/78 = 1/6
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6*78x - 6*64x = 64*78
86x = 64*78
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x = 59.43 km
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Cheers,
Stan H.
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