Question
Download Solution PDFA and B together can do a piece of work in 4 days. If A alone can do it in 12 days, then B alone can do the work in:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A + B can do work in 4 days
A alone can do work in 12 days
Formula used:
Efficiency = Work/Time
Total work = LCM of 4 and 12 = 12 units
Calculation:
Total work = 12 units
Efficiency of A + B = 12 ÷ 4 = 3 units/day
Efficiency of A = 12 ÷ 12 = 1 unit/day
Efficiency of B = 3 - 1 = 2 units/day
Days taken by B = 12 ÷ 2 = 6 days
∴ B alone can do the work in 6 days.
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