SOLUTION: At the auto race once car travels 190 mph while another travels 195mph. How long will it take the faster car to gain 2 laps on the slower car, if the speedway track 2 1/2 miles lo

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Question 364354: At the auto race once car travels 190 mph while another travels 195mph. How long will it take the faster car to gain 2 laps on the slower car, if the speedway track 2 1/2 miles long?
Found 3 solutions by stanbon, swaggagyal, Alan3354:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
At the auto race one car travels 190 mph while another travels 195mph. How long will it take the faster car to gain 2 laps on the slower car, if the speedway track 2 1/2 miles long?
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slower car DATA:
rate = 190 mph ; distance = x miles ; time = x/190 hrs
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faster car DATA:
rate = 195 mph ; distance = x + 5 miles; time = (x+5)/195 hrs
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Equation:
time = time
x/190 = (x+5)/195
195x = 190x + 190*5
x = 190
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Slower car time = 190/190 = 1 hr
Faster car time = 195/195 = 1 hr
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Cheers,
Stan H.

Answer by swaggagyal(1) About Me  (Show Source):
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
2 laps = 5 miles
The faster car gains on the slower at 5 mph (195 - 190)
5 miles/5 mph = 1 hour