SOLUTION: A boat goes 24 miles upstream in 2 hours. It goes 36 miles downstream also in 2 hours. Find: - the speed of the boat in still water,

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Question 931127: A boat goes 24 miles upstream in 2 hours.
It goes 36 miles downstream also in 2 hours.
Find:
- the speed of the boat in still water,
- the speed of the current.
Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website!
Distance with current 36 miles distance against current 24
t=d/r against current (x-y)
24.00 / ( x - y )= 2.00

2.00 x - -2.00 y = 24.00 ....................1
with current (x+y)
36.00 / ( x + y )= 2.00
2.00 ( x + y ) = 36.00
2.00 x + 2.00 y = 36.00 ...............2
Multiply (1) by 1.00
Multiply (2) by 1.00
we get 2.00
2.00 x + -2.00 y = 24.00
2.00 x + 2.00 y = 36.00
4.00 x = 60.00
/ 4.00
x = 15.00 mph

plug value of x in (1) y
2.00 x -2.00 y = 24.00
30.00 -2.00 -30.00 = 24.00
-2.00 y = 24.00
-2.00 y = -6.00 mph
y = 3.00
boat 15.00 mph
current 3.00 mph

SOLUTION: A boat goes 24 miles upstream in 2 hours. It goes 36 miles downstream also in 2 hours. Find: - the speed of the boat in still water, - the speed of the current.