posted by erin on .
A boat travels down the river in 3.0 hours. The return trip up river takes 3.6 hours. A one way trip down or up river is a distance of 23 miles. If the boat is traveling at maximum speed, what is the boats speed measured in waters with no current? You need to use systems to solve this problem. Round your speed to the tenth of a mile per hour.
vboat + vcurrent = 23/3.6
vboat - vcurrent = 23/3
where vboat is the speed of the boat without a current, v is the speed of the current. The first equation models the boat traveling with the current; the second equation models the boat traveling against the current. Use algebra to solve this system of 2 equations with 2 unknowns.