# SOLUTION: Emily's boat goes 14 mph. Find the speed of the current in the river if she can go 8 miles downstream in the same time as she can go 6 miles upstream.

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 Question 591708: Emily's boat goes 14 mph. Find the speed of the current in the river if she can go 8 miles downstream in the same time as she can go 6 miles upstream.Answer by ptaylor(2052)   (Show Source): You can put this solution on YOUR website!Distance(d) equals Rate(r) times Time(t) or d=rt; r=d/t and t=d/r Let s=speed of the current Emily's speed upstream=14-s Her speed downstream=14+s time required to go 6 miles upstream=6/(14-s) time required to go 8 miles downstream=8/(14+s) and we are told that these times are the same, sooooo 6/(14-s)=8/(14+s) multiply each term by (14-s)(14+s) or just cross-multiply and we get: 6(14+s)=8(14-s) or 3(14+s)=4(14-s) 42+3s=56-4s 7s=14 s=2 mph----speed of current CK Emily's speed upstream=14-2=12mph Her speed downstream=14+2=16 mph time required to go 6 mi upstream=6/12=1/2 hr time required to go 8 mi downstream=8/16=1/2 hr Hope this helps ---ptaylor