SOLUTION: A motorboat travels 165 kilometers in 3 hours going upstream. It travels 207 kilometers going downstream in the same amount of time. What is the rate of the boat in still water and
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Question 1176815: A motorboat travels 165 kilometers in 3 hours going upstream. It travels 207 kilometers going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let rate of the boat in still water be x km/h
and the rate of the current be y km/h
Upstream speed = x-y
Time = D/S
165/(x-y) = 3
3x-3y=165 -----------(1)
Downstream speed = x+y
207/(x+y) =3
3x+3y= 207-----------(2)
Add equations (1) & (2)
6x=207+165
6x = 372
x= 62
speed of boat in still water= 62 km/h
Plug x to get y
3x-3y=165
186-3y =165
3y= 21
y=7
Speed of current is 7 km/h
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