SOLUTION: Two Trains are 2 miles apart and are traveling toward each other on the same track. Each train is going 30 MPH. A fly going 60 MPH starts at the nose of one train then flies toward

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Question 154700: Two Trains are 2 miles apart and are traveling toward each other on the same track. Each train is going 30 MPH. A fly going 60 MPH starts at the nose of one train then flies toward the other train and upon reaching the second train immediately turns around and flies back towards the first train. The fly buzzes back and forth until all three collide. How far did the fly fly?
Answer by stanbon(75887) About Me  (Show Source):
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Two Trains are 2 miles apart and are traveling toward each other on the same track. Each train is going 30 MPH. A fly going 60 MPH starts at the nose of one train then flies toward the other train and upon reaching the second train immediately turns around and flies back towards the first train. The fly buzzes back and forth until all three collide. How far did the fly fly?
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Train #1 DATA:
distance = x miles ; rate = 30mph; time = d/r = x/30 hrs
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Train #2 DATA:
distance = 2-x miles ; rate = 30 mph; time = d/r = (2-x)/30 hrs
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EQUATION:
time of #1 = time of #2
x/30 = (2-x)/30
x = 2-x
2x = 2
x = 1 mile
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Time for each train: d/r = 1 mile/30 mph = 1/30 hr = 2 minutes
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How far does the fly fly?
distance = time*rate
(2/60)60 mph = 2 miles
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Cheers,
Stan H.