SOLUTION: You are one mile from the railroad station, and your train is due to leave in ten minutes.
You have been walking at a steady rate of 3 mph, and you can run at 8 mph if you have to
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Question 1073639: You are one mile from the railroad station, and your train is due to leave in ten minutes.
You have been walking at a steady rate of 3 mph, and you can run at 8 mph if you have to.
For how many more minutes can you continue walking, until it becomes necessary for you
to run the rest of the way to the station?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
You are one mile from the railroad station, and your train is due to leave in ten minutes.
Let walking time be "x" min; running time be "10-x" min
You have been walking at a steady rate of 3 mph, and you can run at 8 mph if you have to.
For how many more minutes can you continue walking, until it becomes necessary for you
to run the rest of the way to the station?
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Equation:
dist + dist = 1 mile
(3/60)x + (8/60)(10-x) = 1 mile
3x + 80-8x = 60
-5x = -20
x = 4 min (walking time)
10-x = 6 min (running time)
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Cheers,
Stan H.
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