SOLUTION: Joe can run twice as fast as Pete. They start at the same point and run in opposite directions for 40 minutes and the distance between them is then 16km. How fast does Joe run?

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Question 271889: Joe can run twice as fast as Pete. They start at the same point and run in opposite directions for 40 minutes and the distance between them is then 16km. How fast does Joe run?
Can you also show me how you worked it out
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Joe can run twice as fast as Pete. They start at the same point and run in opposite directions for 40 minutes and the distance between them is then 16km. How fast does Joe run?
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Joe DATA:
time = 2/3 hr ; rate = 2x km/h ; distance = rt = (2/3)(2x) = (4/3)x km
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Pete DATA:
time = 2/3 hr ; rate = x km/h ; distance = rt = (2/3)x km
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Equation:
distance + distance = 16 km
(4/3)x + (2/3)x = 16
2x = 16
x = 8 km/h (Pete's rate)
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2x = 16 km/h (Joe's rate)
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Cheers,
Stan H.
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