SOLUTION: A motorboat traveling with the current went 45 miles in 3 hours. Against the current, it took 4.5 hours to travel the same distance. Find the rate of the boat in calm water.

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: A motorboat traveling with the current went 45 miles in 3 hours. Against the current, it took 4.5 hours to travel the same distance. Find the rate of the boat in calm water.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1074551: A motorboat traveling with the current went 45 miles in 3 hours. Against the current, it took 4.5 hours to travel the same distance. Find the rate of the boat in calm water.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616) About Me  (Show Source):
Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

A motorboat traveling with the current went 45 miles in 3 hours. Against the current, it took 4.5 hours to travel the same distance. Find the rate of the boat in calm water. 
Let speed in calm water be S

Then we get:  

Also,  

2S = 25 ------ Adding eqs (ii) & (i)

S, or speed in calm water = highlight_green%28matrix%281%2C4%2C+25%2F2%2C+or%2C+12.5%2C+mph%29%29

That's how SIMPLE this is......no COMPLEXITIES/CONFUSION!