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

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) (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
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s = d/t
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downstream:
x + z = y/2
x + 2 = y/2
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upstream:
x - z = y/3
x - 2 = y/3
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put the system of linear equations into standard form
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x + 2 = y/2
x - 2 = y/3
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2x + 4 = y
3x - 6 = y
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2x - y = -4
3x - y = 6
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = speed of boat in still water = 10 mph
y = distance one way = 24 miles
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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
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Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
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