SOLUTION: A motorboat traveled for 1 hour with a 2 mph current. The return trip against the same current took 2 hours. Find the speed of the motorboat in still water.

Question 928581: A motorboat traveled for 1 hour with a 2 mph current. The return trip against the same current took 2 hours. Find the speed of the motorboat 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 = one-way trip distance
c = speed of current = 2 mph
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s = d/t
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downstream:
x + c = y/1
x + 2 = y/1
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upstream:
x - c = y/2
x - 2 = y/2
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put the system of linear equations into standard form
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x + 2 = y/1
x - 2 = y/2
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x - y/1 = -2
x - y/2 = 2
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x - y = -2
x - 0.5y = 2
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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 = 6 mph
y = one-way trip distance = 8 miles
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