algebra
posted by maggie .
A tugboat goes 180 miles upstream in 15 hours. The return trip downstream takes 10 hours. find the speed of the tugboat without a current and the speed of the current

distance=(velocityboat+vstream)time
180=(vb+Vs)*10
180=(VbVs)*15
divide both sides of a) by 10, and b) by 15
18=vb+vs
12=VbVs
add the equations
30=2vb solve for vboat
then put that into either equation and solve for vstream
Respond to this Question
Similar Questions

math
A tugboat can go 10 miles upstream in the same time as it can go 15 miles downstream. If the tugboat goes 12 miles per hour in still water, what is the speed of the current? 
algebra
tugboat goes 160 miles upstream in 10 hours. The return trip downstream takes 5 hours. Find the speed of the tugboat without a current and the speed of the current. speed of tugboat is speed of the current is 
algebra
a tugboat goes 160 miles upstream in 20 hours. The return trip downstream takes 10 hours. Find the speed of the tugboat without a current and the speed of the current. 
math
A tugboat goes upstream 120 miles in 20 hours. The return trip downstream takes 10 hours. Find the speed of the tugboat without the current and the speed of the current. 
algebra
a tugboat goes 160 miles upstream in 20 hours. The return trip downstream takes 5 hours. Find the speed of the tugboat without a current and the speed of the current. 
alegrbra
A tugboat is going 100 miles upstream in 10 hours and returning downstream in 5 hours. What is the boats speed and the speed of the current? 
algerbia
a tugboat goes 120 miles up streem in 15 hours it takes 10 hours to come back the speed of the tugboat is and the speed of the curent is 
MAT 116
A tugboat goes 180 miles upstream in 10 hours. The return trip downstream takes 5 hours. Find the speed of the tugboat without a current and the speed of the current. 
Algebra
A tugboat goes 160 miles up stream in 20 hours, return trip downstream takes 5 hours. Find speed of tugboat without the current and the speed of the current 
physics
a crew member is walking on a tugboat that is pulling a barge. the tugboat is moving at a constant speed upstream in a river that has a constant downstream current. In the situation above, what is at rest relative to the tugboat?