Question 1050644
let r be the rate of the man's rowing and c be the rate of the current, then
:
1) (r-c) * 10 = 500
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2) (r+c) * 5 = 300
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solve equation 1 for c
:
10r -10c = 500
:
c = (10r - 500) / 10 = r - 50
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substitute for c in equation 2
:
(r + r - 50) * 5 = 300
:
10r - 250 = 300
:
10r = 550
:
r = 55 feet per minute
:
c = 55 - 50 = 5 feet per minute
:
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man rows at 55 feet per minute
current is 5 feet per minute
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