SOLUTION: traveled 62 miles in 4 hours. some time was biking @ 20mph. the other time spent running @ 8 mph. What is the distance traveled biking? What is the distance traveled biking in the

Question 594538: traveled 62 miles in 4 hours. some time was biking @ 20mph. the other time spent running @ 8 mph. What is the distance traveled biking? What is the distance traveled biking in the 4 hours if traveled 62 miles

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
traveled 62 miles in 4 hours. some time was biking @ 20mph. the other time spent running @ 8 mph. What is the distance traveled biking? What is the distance traveled biking in the 4 hours if traveled 62 miles
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biking DATA:
distance = x ; rate = 20 mph ; time = x/20 hrs
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running DATA:
distance = 62-x miles ; rate = 8 mph ; time = (62-x)/8 hrs
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Equation:
time + time = 4 hrs
x/20 + (62-x)/8 = 4
Multiply thru by 40 to get:
2x + 5*62-5X = 160
-3x = -150
x = 50 miles (biking distance)
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62-x = 12 miles (running distance)
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Cheers,
Stan H.
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