Question 669510: Kevin traveled by car at an average speed of 29 miles per hour.
Then, he traveled by bike at an average speed of 6 miles per hour.
In total, he traveled 144 miles for 6 hours.
How many miles did Kevin travel by car? (Round to the nearest mile.)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Kevin traveled by car at an average speed of 29 miles per hour.
Then, he traveled by bike at an average speed of 6 miles per hour.
In total, he traveled 144 miles for 6 hours.
How many miles did Kevin travel by car? (Round to the nearest mile.)
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Car DATA:
rate = 29 mph ; distance = x miles ; time = d/r = x/29 hrs.
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Bike DATA:
rate = 6 mph ; distance = 144-x miles ; time = d/r = (144-x)/6 hrs
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Equation:
time + time = 6 hrs.
x/29 + (144-x)/6 = 6 hrs
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6x + 29(144-x) = 6*6*29
6x + 29*144 - 29x = 36*29
-23x = -108*29
x = 136.17 = 136 miles (car travel rounded down)
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Cheers,
Stan H.
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