SOLUTION: Linus jogs at x kph to overtake Charlie who jogs at 6 kph. If Charlie started two hours earlier, how many hours will it take before Linus overtakes Charlie?
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Question 370562: Linus jogs at x kph to overtake Charlie who jogs at 6 kph. If Charlie started two hours earlier, how many hours will it take before Linus overtakes Charlie?
(Translating Word Phrases into Mathematical Expression) Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Linus jogs at x kph to overtake Charlie who jogs at 6 kph. If Charlie started two hours earlier, how many hours will it take before Linus overtakes Charlie?
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Linus DATA:
rate = x km/h ; time = t hrs ; distance = xt km
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Charlie DATA:
rate = 6 km/h ; time = (t-2) hrs ; distance = 6(t-2) km
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Equation:
Solve for "t"
distance = distance
xt = 6(t-2)
xt = 6t-12
6t-xt = 12
(6-x)t = 12
t = 12/(6-x) hrs
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Cheers,
Stan H.
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