Vincents boat will go 13 miles per hour in still water If he

Vincent\'s boat will go 13 miles per hour in still water. If he can go 14 miles downstream in the same amount of time as it takes to go 8 miles upstream, then what is the speed of the current?

Solution

distance formula:
d = rt
where
d is distance
r is rate or speed
t is time
.
Since we\'re talking about time, let\'s rearrange the equation:
d = rt
solving for t:
t = d/r
.
Let x = speed of current
time going downstream
14/(13+x)
time going upstream
8/(13-x)
.
Since \"he can go 14 miles downstream in the same amount of time as it takes to go 8 miles upstream\"
14/(13+x) = 8/(13-x)
14(13-x) = 8(13+x)
14(13-x) = 8(13+x)
182 - 14x = 104 + 8x
182 - 14x = 104 + 8x
78 = 22x
3.545 mph = x (speed of current)