Question
Download Solution PDFIf A and B together can complete a work in 12 days, A and C together in 8 days and B and C together in 6 days. Then B alone can done the work in
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A and B together can complete a work in 12 days.
A and C together can complete the same work in 8 days.
B and C together can complete the same work in 6 days.
Formula Used:
Total Work = Time × Efficiency
Calculation:
Let the total work be LCM(12, 8, 6) = 24 units
Efficiency and A and B = 24/12 = 2
Efficiency and B and C = 24/8 = 3
Efficiency and C and A = 24/6 = 4
Efficiency of A, B and C = 9/2
Efficiency of B alone = 9/2 - 4 = 1/2
Time taken by B to complete the total work = 24/(1/2) = 48 days
∴ Option 2 is the correct answer.
Last updated on Feb 11, 2025
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