Question 325213
An airplane leaves La Guardia at 3pm and flies west at an average rate of 200 miles per hour. At 3:30 pm another plane leaves the airport and flies west at an average rate of 250 miles per hour. At what time does the second plane overtake the first plane?
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1st plane DATA:
rate = 200 mph ; time = x hrs; distance = 200x miles
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2nd plane DATA:
rate = 250 mph ; time = x-(1/2) hrs ; distance = 250(x-(1/2))= 250x-125 miles
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Equation:
distance = distance
200x = 250x-125
-50x = -125
x = 2.5 hrs
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time = 3:00 + 2.5 hrs = 5:30 pm
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Cheers,
Stan H.