SOLUTION: Crystal rows a boat downstream for 90 miles. The return trip upstream took 8 hours longer. If the current flows at 2 mph, how fast does Crystal row in still water?
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Question 1150318: Crystal rows a boat downstream for 90 miles. The return trip upstream took 8 hours longer. If the current flows at 2 mph, how fast does Crystal row in still water?
Time equation is
- = 8 hours.
where x is the value under the question.
90*(x+2) - 90*(x-2) = 8*(x^2-4)
90x + 180 - 90x + 180 = 8x^2 - 32
8x^2 = 360 + 32 = 392
x^2 = 392/8 = 49
x = = 7.
ANSWER. The rate of the boat in still water is 7 miles per hour.
Solved.
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It is a typical and standard Upstream and Downstream round trip word problem.