SOLUTION: 10. Two men chop one ton of wood in two hours. How long will it take three men to chop three tons of wood?
(A) 2 hours (B) 5/2 hours (C) 3 hours (D) 10/3 hours (E) None of these
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Question 206581: 10. Two men chop one ton of wood in two hours. How long will it take three men to chop three tons of wood?
(A) 2 hours (B) 5/2 hours (C) 3 hours (D) 10/3 hours (E) None of these
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let R = number of tons of wood per hour that one man can chop.
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let W = number of tons of wood that are chopped.
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let H = the number of hours that it takes to chop W tons of wood.
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let M = number of men
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general formula would be R*M*H = W
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The first statement says that 2 men chop one ton of wood in 2 hours.
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M = 2
W = 1
H = 2
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formula of R*M*H = W becomes R*2*2 = 1
solving for R gets us R = 1/4
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R = 1/4 means 1 man can chop 1/4 ton of wood in one hour.
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The second statement asks for how long it takes 3 men to chop 3 tons of wood.
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M = 3
W = 3
R = 1/4
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formula of R*M*H = W becomes (1/4)*3*H = 3
solving for H gets us H = 4
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Answer is 4 hours.
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you have 3 men and each of them can chop 1/4 tons of wood per hour.
At the end of 1 hour they have chopped 3/4 tons of wood.
In 4 hours they have chopped 4 * (3/4) tons of wood which equals 3 tons of wood.
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