SOLUTION: One car makes a trip of 384 miles in the same amount of time that it takes a second car to make a trip of 360 miles. The average speed of the second car is 3 miles per hour less th

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Question 911569: One car makes a trip of 384 miles in the same amount of time that it takes a second car to make a trip of 360 miles. The average speed of the second car is 3 miles per hour less than the average speed of the first car. What is the average speed of each car?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
One car makes a trip of 384 miles in the same amount of time that it takes a second car to make a trip of 360 miles. The average speed of the second car is 3 miles per hour less than the average speed of the first car. What is the average speed of each car?
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1st Car DATA:
distance = 384 ; rate = x mph ; time = d/r = 384/x hrs
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2nd Car DATA:
distance = 360 ; rate = x-3 ; time = d/r = 360/(x-3) hrs
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Equation:
time = time
384/x = 360/(x-3)
384x - 384*3 = 360x
24x = 384*3
x = 384/8
x = 48 mph (1st car's speed)
x-3 = 45 mph (2nd car's speed)
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Cheers,
Stan H.
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