SOLUTION: A boat travels 28 miles upstream in 4 hours. Going downstream, it can travel 60 miles in the same amount of time. Find the speed of the speed of the current and the speed of the
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Question 548560: A boat travels 28 miles upstream in 4 hours. Going downstream, it can travel 60 miles in the same amount of time. Find the speed of the speed of the current and the speed of the boat in still water. Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! Boat speed =x mph
current speed =y mph
against current , x-y 4 hours
with current , x+y 4 hours
Distance = same= 2000 miles
t=d/r against current
28 / ( x - y )= 4.00
4 ( x - y ) = 28.00
With current
4 x -4 y = 28 ....................1
60 / ( x + y )= 4.00
4.00 ( x + y ) = 60
4.00 x + 4 y = 60 ...............2
Multiply (1) by 1.00
Multiply (2) by 1.00
we get
4 x + -4 y = 28
4 x + 4 y = 60
8 x = 88
/ 8
x = 11 mph
plug value of x in (1)
4 x -4 y = 28
44 -4 y = 28
-4 y = 28 -44
-4 y = -16
y = 4 mph
Boat 11 mph
current 4 mph
