# SOLUTION: The speed of a motor boat in still water is 60kph. It goes 100km up the river and then comes the 100km back in a total of 12 hours. what is the speed of the current of the river?

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The speed of a motor boat in still water is 60kph. It goes 100km up the river and then comes the 100km back in a total of 12 hours. what is the speed of the current of the river?       Log On

 Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo . Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Linear Solvers Practice Answers archive Word Problems Lessons In depth

 Question 551028: The speed of a motor boat in still water is 60kph. It goes 100km up the river and then comes the 100km back in a total of 12 hours. what is the speed of the current of the river? Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!boat speed = 60 kmph current speed = x kmph upstream speed =60-x downstream speed =60+x Total distance =100km Total Time= 12.00 hours Time upstream + time downstream = 100/(60-x)+100/(60+x)= 12 100(60+x)+100(60-x)= 12 6000+100x+6000-100x=12(15^2-x^2) 12000=12(3600-x^2) 12000 = 43200 -12 X^2 12 X ^2 = 31200 X^2=2600 x= 50.99 km/h