SOLUTION: In 8 minutes a go cart can travel 4 miles with the wind blowing against them. With the wind traveling with them in 8 minutes they can go 6 miles. How fast does the go cart go with
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Question 944610: In 8 minutes a go cart can travel 4 miles with the wind blowing against them. With the wind traveling with them in 8 minutes they can go 6 miles. How fast does the go cart go with no wind? How fast is the wind going? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! In 8 minutes a go cart can travel 4 miles with the wind blowing against them. With the wind traveling with them in 8 minutes they can go 6 miles. How fast does the go cart go with no wind? How fast is the wind going?
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Against DATA:
time = 8 min ; dist = 4 miles ; rate = d/t = 1/2 mile/min
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With DATA:
time = 8 min ; dist = 6 miles ; rate = d/t = 6/8 = 3/4 mile/min
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Equation:
Against:: c-w = 1/2
With:::: c+w = 3/4
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Add and solve for "c"::
2c = 5/4
c = 5/8 mile/min (rate of the cart in still air)
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Subtract and solve for "w"
2w = 1/4
w = 1/2 mile/min (rate of the wind)
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Cheers,
Stan H.
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