SOLUTION: sammy owns a motor boat that travels 4 miles/hour in still water. It goes 12 miles upstream and 12 miles back again (downstream) in a total of 8 hours. Find the speed of the curren

Question 326281: sammy owns a motor boat that travels 4 miles/hour in still water. It goes 12 miles upstream and 12 miles back again (downstream) in a total of 8 hours. Find the speed of the current of the river.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
still water speed = 4mph
let speed of current be xmph
..
upstream speed = x-4 mph
distance traveled = 12 miles
time taken = 12/x-4
..
down stream speed = x+4 mph
distance traveled = 12 miles
time taken = x+4 /12 ..
time upstream + time down stream = total time up and down
..

LCM of left side = (x+4)(x-4)

Add-24x to both sides

x=4 Or -1
ignore -1
speed of current = 4 mph
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