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CAN SOMONE HELP WITH THIS?????​

CAN SOMONE HELP WITH THIS?????​-example-1
User Haju
by
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2 Answers

6 votes
The answer is 6 miles per hour
User Fabiopagoti
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5.3k points
1 vote

Let r be the speed of the current. Going upstream the boat goes at speed 30-r, going downstream at 30+r. If we're going 36 miles each way, the total time 2.5 hours is

2.5 = 36 / (30-r) + 36/(30+r)


(2.5)/(36) = (30 + r + 30 - r)/((30 + r)(30 - r))

(25/360)(900-r²) = 60

900 - r² = 60(360)/25

r^2 = 900 - 60(360)/25 = 36

We choose the positive square root from the way we set up the problem.

r = 6

Answer: 6 miles per hour

User Abdul Rafay
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5.6k points