SOLUTION: Two runners, Bert and Ernie, leave home at the same time and jog in different directions. Bert travels east at a uniform rate that is 2mph faster than Ernie, who is traveling west

Question 416639: Two runners, Bert and Ernie, leave home at the same time and jog in different directions. Bert travels east at a uniform rate that is 2mph faster than Ernie, who is traveling west. After two hours, they are 28 miles apart. Find Bert and Ernie's rate.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Two runners, Bert and Ernie, leave home at the same time and jog in different directions.
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Bert travels east at a uniform rate that is 2mph faster than Ernie, who is traveling west.
After two hours, they are 28 miles apart. Find Bert and Ernie's rate.
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Let Ernie's rate be "x" mph
Then Bert's rate is "x+2" mph
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Their combined separation rate is 2x+2 mph
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distance = time*rate
28 = 2*(2x+2)
14 = 2x+2
2x = 12
x = 6 mph (Ernie's rate)
x+2 = 8 mph (Bert's rate)
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Cheers,
Stan H.
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