SOLUTION: two hikers, Alan and Ben, are 22.2 miles apart and walking towards each other. They meet in 6 hours. Find the rate of each hiker if ben walks 0.9 mph faster than Alan

Question 942920: two hikers, Alan and Ben, are 22.2 miles apart and walking towards each other. They meet in 6 hours. Find the rate of each hiker if ben walks 0.9 mph faster than Alan
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = speed of alan (mph)
y = speed of ben (mph)
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y = x + 0.9
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speed of hikers relative to each other:
s = d/t
s = 22.2/6
s = x + y
22.2/6 = x + y
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linear system:
y = x + 0.9
22.2/6 = x + y
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put the system of linear equations into standard form
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x - y = -0.9
x + y = 3.7
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https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = 1.4
y = 2.3
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