SOLUTION: Kate can row a boat 12 miles per hour in still water. in a river where the current is 6 miler per hour, it take her 5 hour longer to row a given distance upstream than to travel th

Question 1008544: Kate can row a boat 12 miles per hour in still water. in a river where the current is 6 miler per hour, it take her 5 hour longer to row a given distance upstream than to travel the same distance downstream. Find how long it takes her to row upstream, how long to row downstream, and how many miles she rows.
Please help me to solve. Algebra 2.
Thank you.
Found 3 solutions by josgarithmetic, stanbon, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!

Unknown variables,

RT=D basic travel rates rule

rate time distance UPSTR r-c t+h d DOWNSTR r+c t d

Can you manage the rest of the solution?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Kate can row a boat 12 miles per hour in still water.
in a river where the current is 6 miler per hour,
it takes her 5 hour longer to row a given distance upstream than to travel the same distance downstream.
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Find how long it takes her to row upstream, how long to row downstream, and how many miles she rows.
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Upstream DATA:
rate = 12-6 = 6 mph ; distance = x miles ; time = x/6 mph
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Downstream DATA:
rate = 12 + 6 = 18 mph ; distance = x miles ; time = x/18 mph
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Equation:
x/6 + x/18 = 5 hrs
3x + x = 90
4x = 90
x = 22.5 miles (distance)
time upstream = 22.5/6 = 3 3/4 hours
time downstream = 22.5/18 = 1 1/4 hours
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Cheers,
Stan H.
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Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Kate can row a boat 12 miles per hour in still water. in a river where the current is 6 miler per hour, it take her 5 hour longer to row a given distance upstream than to travel the same distance downstream. Find how long it takes her to row upstream, how long to row downstream, and how many miles she rows.
Please help me to solve. Algebra 2.
Thank you.

Time taken to row upstream: hours
Time taken to row downstream: hours
Distance rowed each way: miles
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