A can complete a piece of work in 12 days, while B can complete the same work in 15 days. If they work together, how many days will they take to complete the work? MCQ with Answer and Explanation
A can complete a piece of work in 12 days, while B can complete the same work in 15 days. If they work together, how many days will they take to complete the work?
A. 6 days
B. 5 days
C. 7 days
D. 6(2/3) days
Answer: Option D
Solution (By JKSSB Mock Tests)
Let the total work be the LCM of 12 and 15, which is 60 units. Efficiency of A = 60 / 12 = 5 units/day. Efficiency of B = 60 / 15 = 4 units/day. Combined efficiency of A and B = 5 + 4 = 9 units/day. Time taken together = 60 / 9 = 20 / 3 = 6(2/3) days.
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