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Amount of work A does in 1 h = (1/4) <= A takes 4 h to complete a piece of work.
Amt of work B and C can complete in 1 h = (1/3) <= B and C take 3 h to complete a piece of work.
Amt of work A and C can complete in 1 h = (1/2) <= A and C take 2 h to complete a piece of work.
Rewriting as equations : A + C = 1/2, B + C = 1/3, A = 1/4
A + C = 1/2 => 1/4 + C = 1/2 => C = 1/2 - 1/4 = 1/4 ie C takes 4 h to complete a piece of work.
B + C = 1/3 => B + 1/4 = 1/3 => B = 1/3 - 1/4 = 1/12 ie B takes 12 h to complete a piece of work.
OR
A + C = 1/2, B + C = 1/3 => (A + C) - (B + C) = 1/2 - 1/3
A - B = 1/2 - 1/3 = 1/6
1/4 - B = 1/6
B = 1/4 - 1/6 = 1/12 ie B takes 12 h to complete a piece of work.
Amt of work B and C can complete in 1 h = (1/3) <= B and C take 3 h to complete a piece of work.
Amt of work A and C can complete in 1 h = (1/2) <= A and C take 2 h to complete a piece of work.
Rewriting as equations : A + C = 1/2, B + C = 1/3, A = 1/4
A + C = 1/2 => 1/4 + C = 1/2 => C = 1/2 - 1/4 = 1/4 ie C takes 4 h to complete a piece of work.
B + C = 1/3 => B + 1/4 = 1/3 => B = 1/3 - 1/4 = 1/12 ie B takes 12 h to complete a piece of work.
OR
A + C = 1/2, B + C = 1/3 => (A + C) - (B + C) = 1/2 - 1/3
A - B = 1/2 - 1/3 = 1/6
1/4 - B = 1/6
B = 1/4 - 1/6 = 1/12 ie B takes 12 h to complete a piece of work.
khushbooagarwal17:
thanku so much
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