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If a boat can go 20 miles per hours in still water and can go six miles downstream and 3 miles up stream in the same time how fast is the river?
Wiki User
∙ 13y ago
assume river velocity = X mph boat velocity = 20 mph
time to go 6 miles downstream = T1
time to go 3 miles upstream = T2
distance = time * velocity
downstream: 6 mi = T1 * (boat velocity + river velocity)
upstream: 3 mi = T2 * (boat velocity - river velocity)
6 = T1 * ( 20 + X )
3 = T2 * ( 20 - X )
T1 * ( 20 + X ) = 2 * ( T2 * ( 20 - X ) )
since T1 = T2 then
20 + X = 40 - 2X
3X = 20
X = 6.67
thus, river velocity is 6.67mph
Wiki User
∙ 13y ago
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