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August 30, 2014

August 30, 2014

Posted by **Kaley** on Monday, September 12, 2011 at 10:48pm.

- Algebra -
**Reiny**, Monday, September 12, 2011 at 11:01pmlet the speed of the current be x mph

so rate upstream = 5-x mph

and rate downstream = 5+x mph

then

19/60 (5-x) = 13/60 (5+x)

19(5-x) = 13(5+x)

95 - 19x = 65 + 13x

30 = 32x

x = 30/32 mph or .9375 mph

total distance = 13/60(5.9375) = 1.296 miles each way.

check:

rate against current = 4.0625

rate with the current = 5.9375

time against current = 1.296/4.0625 = .316 hrs = 19.4 minutes

time with current = 1.296/5.9375 = .2183 = 13.1 minutes

(Acceptable round-off error)

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