SOLUTION: A woman paddling a canoe downstream with the river current travels 20 miles in 2 hours. On the return trip, she paddles the same distance upstream against the river current in 5 ho
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Question 928681: A woman paddling a canoe downstream with the river current travels 20 miles in 2 hours. On the return trip, she paddles the same distance upstream against the river current in 5 hours. Write and solve a system of two linear equations to determine the rate of the boat in calm water and the rate of the current, both in miles per hour.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = speed of boat in still water
y = speed of the current
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s = d/t
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downstream:
x + y = 20/2
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upstream:
x - y = 20/5
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put the system of linear equations into standard form
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x + y = 10
x - y = 4
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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 = 7 mph
y = speed of the current = 3 mph
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Solve and graph linear equations:
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Solve quadratic equations, quadratic formula:
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Solve systems of linear equations up to 6-equations 6-variables:
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