SOLUTION: The speed of the current in the Mississippi River is 5 mph. A boat travels downstream 26 miles and returns in 10 2/3 hours. What is its speed in still water?

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> SOLUTION: The speed of the current in the Mississippi River is 5 mph. A boat travels downstream 26 miles and returns in 10 2/3 hours. What is its speed in still water?      Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com 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!

 Word Problems: Travel and Distance Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Travel Word Problems Question 26984: The speed of the current in the Mississippi River is 5 mph. A boat travels downstream 26 miles and returns in 10 2/3 hours. What is its speed in still water?Answer by Paul(988)   (Show Source): You can put this solution on YOUR website!10 2/3 hours = 32/3 (total travelling time) 26/(x+5)+26/(x-5)=32/3 26((x+5)+(x-5)=(32((x+5)(x-5)))/3 26(2x)=(32(x^2-25))/3 52x=(32(x^2-25))/3 ---> multiply the whole equation by 3 to remove the fraction. 156x=32(x^2-25) 156x=32x^2-800 32x^2-156x-800 Factor: (x+25/8) and (x-8) Remove the negative. Hence, the speed of the boat in still water is 8mph. Paul.