SOLUTION: At first an athlete jogs at 5 miles per hour then jogs at 6 miles per hour traveling 4 miles in 0.7 hours. How long does the athlete jog at each speed? T represents the amount of t

Question 986661: At first an athlete jogs at 5 miles per hour then jogs at 6 miles per hour traveling 4 miles in 0.7 hours. How long does the athlete jog at each speed? T represents the amount of time the athlete jogs at 5 MPH then .07-t represents the amount of time the athlete jogs at 6 MPH

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
At first an athlete jogs at 5 miles per hour then jogs at 6 miles per hour traveling 4 miles in 0.7 hours.
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How long does the athlete jog at each speed? T represents the amount of time the athlete jogs at 5 MPH then .07-t represents the amount of time the athlete jogs at 6 MPH
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1st leg DATA:
rate = 5 mph ; time = t hrs ; distance = r*t = 5t miles
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2nd leg DATA:
rate = 6 mph ; time = 0.7-t hrs ; distance = 6(0.7-t) = 4.2-6t miles
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Equation:
dist + dist = 4 miles
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5t + 4.2-6t = 4 miles
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-t = -0.2
time = 0.2 hrs = 12 minutes (time jogged at 5 mph)
0.7-t = 0.5 hrs = 30 minutes (time jogged at 6 mph)
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Cheers,
Stan H.
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