SOLUTION: A cyclist training for a distance race starts on a training ride at 7:00am trying to average 20 miles per hour during the ride. At 8:30am his support team leaves from the same plac

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Question 694466: A cyclist training for a distance race starts on a training ride at 7:00am trying to average 20 miles per hour during the ride. At 8:30am his support team leaves from the same place driving their vehicle at a speed of 50 miles per hour, and figures to get to the end of the training ride at the same time the rider does. How long is the training ride?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A cyclist training for a distance race starts on a training ride at 7:00am trying to average 20 miles per hour during the ride. At 8:30am his support team leaves from the same place driving their vehicle at a speed of 50 miles per hour, and figures to get to the end of the training ride at the same time the rider does. How long is the training ride?
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Cyclist DATA:
rate = 20 mph ; distance = x miles ; time = x/20 hrs.
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Support DATA:
rate = 50 mph ; distance = x miles : time = x/50 hrs
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Equation:
cyclist time - support time = 3/2 hrs
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x/20 - x/50 = 3/2
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5x - 2x = 150
3x = 150
x = 30 miles (training ride distance)
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cheers,
Stan H.
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