Question 457504: A grain barge travels on a river from point A to point B loading and unloading grain. A grain barge travels on a river from point A to point B loading and unloading grain. The barge travels at a rate of 4 mph relative to the water. The river flows downstream at a rate of 1 mph. If the trip upstream takes 2 hours longer than the trip downstream, how far is it from point A to point B?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A grain barge travels on a river from point A to point B loading and unloading grain.
The barge travels at a rate of 4 mph relative to the water. The river flows downstream at a rate of 1 mph.
If the trip upstream takes 2 hours longer than the trip downstream,
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How far is it from point A to point B?
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Downstream DATA:
time = x hrs ; rate = 4+1 mph ; distance = t*r = 5x miles
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Upstream DATA:
time = x+2 hrs ; rate = 4-1 mph; distance = t*r = 3(x+2)
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Equation:
distance = distance
5x = 3(x+2)
5x = 3x+6
2x = 6
x = 3 hrs
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Distance = 5x = 15 miles from A to B
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Cheers,
Stan H.
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