SOLUTION: Two boys in a boat with a small motor are able to travel 2 mph faster with the current than in still water. If they travel with the current from a dock to their campground in 2 hou

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Two boys in a boat with a small motor are able to travel 2 mph faster with the current than in still water. If they travel with the current from a dock to their campground in 2 hou      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 929026: Two boys in a boat with a small motor are able to travel 2 mph faster with the current than in still water. If they travel with the current from a dock to their campground in 2 hours and make the return trip against the current in 3 hours, how fast are the boys able to travel in still water?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
x = speed of boat in still water
y = distance one way
z = speed of current = 2 mph
---
s = d/t
---
downstream:
x + z = y/2
x + 2 = y/2
---
upstream:
x - z = y/3
x - 2 = y/3
---
put the system of linear equations into standard form
---
x + 2 = y/2
x - 2 = y/3
---
2x + 4 = y
3x - 6 = y
---
2x - y = -4
3x - y = 6
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = speed of boat in still water = 10 mph
y = distance one way = 24 miles
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php