Question 837096: a fighter plane first detects a bomber at a distance of 20 miles. if the fighter, traveling at 600 mph, pursues the bomber, which is going 500 mph, in how many minutes will the fighter overtake the bomber?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a fighter plane first detects a bomber at a distance of 20 miles. if the fighter, traveling at 600 mph, pursues the bomber, which is going 500 mph, in how many minutes will the fighter overtake the bomber?
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fighter plane DATA:
rate = 600 mph ; time = x/60 hrs ; distance = r*t = 10x miles
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bomber plane DATA:
rate = 500 mph ; time = x/60 hrs. ; distance = r*t = (50/6)x miles
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Equation:
fighter dist - bomber dist = 20 miles
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10x - (50/6)x = 20
10x - 8 1/3 x = 20
(5/3)x = 20
x = 12 minutes (catch-up time)
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Cheers,
Stan H.
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