Question
Download Solution PDFA can do a work in 12 days while B can do same work in 18 days. How long (in days) will it take if they do the work together?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A = 12 days
B = 18 days
Formula used:
Total Work = LCM of days
Efficiency = Work ÷ Time
Time = Work ÷ Total Efficiency
Calculation:
LCM of 12 and 18 = 36 units (Total Work)
A's efficiency = 36 ÷ 12 = 3 units/day
B's efficiency = 36 ÷ 18 = 2 units/day
Total efficiency = 3 + 2 = 5 units/day
Time = 36 ÷ 5 = \(7\frac{1}{5}\)days
∴ A and B together will complete the work in\(7\frac{1}{5}\) days.
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