Question 108400: Aaron, Beth Candance, John and Pat ran around a track as part of a fundraiser for their school Aaron ran first and then when he was tired, Beth ran. When Beth got tired, Candace ran, and so on. By the end of the fundraiser, they had run a total of 30 miles. Aaron and Beth combined ran 40% of the total distance. Beth and Candace combined ran 34% of the total distance. Candace and John combined ran 40% of the total distance. And John and Pat combined ran 41% of the total distance. How far did each person run?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Aaron, Beth Candance, John and Pat ran around a track as part of a fundraiser for their school Aaron ran first and then when he was tired, Beth ran. When Beth got tired, Candace ran, and so on. By the end of the fundraiser,
they had run a total of 30 miles.
Aaron and Beth combined ran 40% of the total distance.
A + B = 12 miles
Beth and Candace combined ran 34% of the total distance.
B + C = 10.2 miles
Candace and John combined ran 40% of the total distance.
C + J = 12 miles
John and Pat combined ran 41% of the total distance.
J + P = 12.3 miles
How far did each person run?
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A + B + C + J + P = 30
A + (10.2-C) + C + J + (12.3-J) = 30
A + 10.2 + 12.3 = 30
A = 7.5 miles
B = 12 - 7.5 = 4.5 miles
C = 10.2 - 4.5 = 5.7 miles
J = 12 - 5.7 ] = 6.3 miles
P = 12.3 - 6.3 = 6 miles
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Cheers,
Stan H.
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