SOLUTION: A jogger leaves home and runs at a constant speed of 4 miles per hour. Nine minutes later a bicyclist follows along the same route at a constant speed of 15 miles per hour. Find th

Question 642230: A jogger leaves home and runs at a constant speed of 4 miles per hour. Nine minutes later a bicyclist follows along the same route at a constant speed of 15 miles per hour. Find the bicyclists travel time needed to catch the jogger.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A jogger leaves home and runs at a constant speed of 4 miles per hour. Nine minutes later a bicyclist follows along the same route at a constant speed of 15 miles per hour. Find the bicyclists travel time needed to catch the jogger.
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Jogger DATA:
rate = 4 mph ; time = x hrs ; distance = 4x miles
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Bicyclist DATA:
rate = 15 mph ; time = x-(9/60) hrs ; distance = 15[x-(9/60)] miles
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Equation:
distance = distance
4x = 15x - (9/4)
11x = 9/4
x = 9/44 hrs.
x = (9/44)60 = 12.27 minutes
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Bicyclist's time: 12.27 min - 9 min = 3.27 minutes
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Cheers,
Stan H.
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