SOLUTION: A boat travels 20 miles upstream in 5hours. Going downstream, it can travel 50 miles in the same amount of time. Find the speed of the current and the speed of the boat in still wa

Algebra.Com
Question 379974: A boat travels 20 miles upstream in 5hours. Going downstream, it can travel 50 miles in the same amount of time. Find 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!
A boat travels 20 miles upstream in 5hours. Going downstream, it can travel 50 miles in the same amount of time. Find the speed of the current and the speed of the boat in still water.
...
speed of boat = x mph
speed of current = y mph
..
speed against current = 4 mph
speed with current = x+y mph
...
time downstream = time upstream
..
t=d/r
..
5=50/(x+y)
5(x+y)=50
/5
x+y =10
x-y=4
add the equations
2x=14
/2
x=7
..
speed in still water = 7 mph
speed of current = 3 mph
..
m.ananth@hotmail.ca

RELATED QUESTIONS

A boat travels 28 miles upstream in 4 hours. Going downstream, it can travel 60 miles in (answered by mananth)
A boat travels 30 miles upstream in 5 hours. Going downstream, it can travel 60 miles in... (answered by ankor@dixie-net.com)
A boat travels 6 miles upstream in 3 hours. Going downstream, it can travel 24 miles in... (answered by josgarithmetic,MathTherapy)
a boat travels 16 miles upstream in 4 hours. Going downstream, it can travel 32 miles in... (answered by Alan3354)
A boat travesl 9 miles upstream in 3 hours. Going downstream it can travel 33 miles in... (answered by mananth)
a boat travels 25 miles upstream in 5 hours doing downstream it can travel 65 miles in... (answered by solver91311)
Jim's speedboat can travel 19 miles upstream against a 3 mph current in the same amount... (answered by ikleyn)
David's boat can travel 11 miles downstream in the same amount of time it can travel 9... (answered by Paul)
A boat travels 36 miles in 4 hours upstream. In the same amount of time the boat can... (answered by checkley77)