Question 496696: the withlacoochee state trail is the longest paved bike trail in florida. the bike trail is 46 mi,es long and runs from citrus springs to trilby. carlos and kevin decide to bike the rail from opposite directions. carlos leaves citrus springs at 8:00 am traveling at an average speed of 8 miles per hour. kevin leaves trilby at 10:00 am traveling at an average speed of 7 miles per hur. at what distance, in miles, from citrus springs will the two friends meet?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! the bike trail is 46 mi,es long and runs from citrus springs to trilby. carlos and kevin decide to bike the rail from opposite directions.
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carlos leaves citrus springs at 8:00 am traveling at an average speed of 8 miles per hour.
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kevin leaves trilby at 10:00 am traveling at an average speed of 7 miles per hur.
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at what distance, in miles, from citrus springs will the two friends meet?
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Carlos distance = 8t where t is his time
Kevin's distance = 7(t-2)
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Equation:
distance + distance = 46
8t + 7(t-2) = 46
15t -14 = 46
15t = 60
t = 4 hrs
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Distance from Citrus Springs:
Carlos's distance = 8t = 32 miles
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Cheers,
stan H.
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