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

1 answer

distance=(velocityboat+vstream)time

180=(vb+Vs)*10
180=(Vb-Vs)*15

divide both sides of a) by 10, and b) by 15

18=vb+vs
12=Vb-Vs

add the equations
30=2vb solve for vboat
then put that into either equation and solve for vstream