SOLUTION: If the speed of the river is 5 mph, and a boat that can travel 25 miles upstream in the same time it would take to go 45 miles downstream. What is the speed of the boat in still wa
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Question 312898: If the speed of the river is 5 mph, and a boat that can travel 25 miles upstream in the same time it would take to go 45 miles downstream. What is the speed of the boat in still water?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let speed of boat in still water be x mph
..
downstrea+ the speed will be x+5 mph
distance traveled = 45 miles.
time taken = 45/ x+5
..
up stream the speed will be x-5 mph
distance traveled = 25 miles
time taken = 25/ x-5
..
both take same time
..
45/x+5 = 25/x-5
45(x-5)=25(x+5)
45x-225=25x+125
45x-25x=350
20x=350
x= 17.5 mph speed of boat in still air
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