SOLUTION: At noon, your family leaves Louisville on a trip to Memphis driving 40 mph. Your uncle leaves Memphis to come to Louiville 2 hours later driving 60 mph. The 2 cities are 380 miles
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Question 657138: At noon, your family leaves Louisville on a trip to Memphis driving 40 mph. Your uncle leaves Memphis to come to Louiville 2 hours later driving 60 mph. The 2 cities are 380 miles apart. At what time will the cars meet?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
At noon, your family leaves Louisville on a trip to Memphis driving 40 mph. Your uncle leaves Memphis to come to Louiville 2 hours later driving 60 mph. The 2 cities are 380 miles apart. At what time will the cars meet?
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To Memphis DATA:
rate = 40 mph ; distance = x miles ; time = x/40 hrs
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To Louiville DATA:
rate = 60 mph ; distance = 380-x miles ; time = (380-x)/60 hrs
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Equation:
time - time = 2 hrs
x/40 - (380-x)/60 = 2
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60x - 40*380 + 40x = 2*40*60
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100x = 120*40 + 380*40
100x = 500*40
x = 200 miles (slower car distance)
380-x = 180 miles (faster car distance)
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Cheers,
Stan H.
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