SOLUTION: During a storm, two teams of scientists leave a university at the same time to search for tornado's. The first team travels east at 20 MPH and the second leaves 15 minuets after th
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Question 503875: During a storm, two teams of scientists leave a university at the same time to search for tornado's. The first team travels east at 20 MPH and the second leaves 15 minuets after the first and travels west at 25 MPH. If their radios have a range of 90 miles, how long will it be before they lose radio contact with one another?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
During a storm, two teams of scientists leave a university at the same time to search for tornado's. The first team travels east at 20 MPH and the second leaves 15 minuets after the first and travels west at 25 MPH. If their radios have a range of 90 miles, how long will it be before they lose radio contact with one another?
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East-bound car:
rate = 20 mph ; time = x hrs ; distance = 20x miles
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West-bound car:
rate = 25 mph ; time = x-(1/4) hrs ; distance = 25(x-(1/4) miles
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Equation:
dist + dist = 90 miles
20x + 25x - 25/4 = 90
80x + 100x - 25 = 360
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180x = 385
x = 2.1389 hrs
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x = 2 hr 8 1/3 minutes
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Cheers,
Stan H.
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