SOLUTION: Solve. A boat moves 5 kilometers upstream in the same amount of time it moves 17 kilometers downstream. If the rate of the current is 8 kilometers per hour, find the rate of the bo

Algebra ->  Test -> SOLUTION: Solve. A boat moves 5 kilometers upstream in the same amount of time it moves 17 kilometers downstream. If the rate of the current is 8 kilometers per hour, find the rate of the bo      Log On


   

Question 437259: Solve. A boat moves 5 kilometers upstream in the same amount of time it moves 17 kilometers downstream. If the rate of the current is 8 kilometers per hour, find the rate of the boat in still water.
A. 7 1/12 kilometers per hour
B. 3 1/3 kilometers per hour
C. 8 kilometers per hour
D. 14 2/3 kilometers per hour
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Boat speed x mph
current speed 8 mph
..
against current x- x - 8 mph
with current x+ x + 8 mph

Distance against wind 5
Distance with tail wind 17
Time = same
5 /(x- 8 )= 17 /(x+ 8 )
5 *(x+ 8 )= 17 *(x- 8 )
5 x + 40 = 17 x -136
17 x -5 x = 136 + 40
12 x = 176
/ 12
x= 14.67 mph
option D