Asked by Devin

The time it takes you to go 12 miles upstream is 5/4 the time it takes you to go 14 miles downstream. If the current is 3mph, how fast do you go in still water.

Answers

Answered by Reiny
speed in still water --- x mph

time upstream = 12/(x-3)

time downstream = 14/(x+3)

12/(x-3) = (5/4)(14/(x+3))
70(x-3) = 48(x+3)
70x - 210 = 48x + 144
22x = 354
x = 16.09 mph

check
time against current = 12/13.09 = .91673
time with current = 14/19.09 = .733368

.91673/.733368 = 1.25003 , not bad for 5/4
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