Question
Download Solution PDFA and B can complete a task in 12 days. However, A had to leave a few days before the task was completed and hence it took 16 days in all to complete the task. If A alone could complete the work in 21 days, how many days before the work getting over did A leave?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven A alone can complete the work in 21 days
A and B together can complete the same work in 12 days
⇒ Total work = L.C.M of (12, 21) = 84
⇒ One day work of A = 4
⇒ One day work of (A + B) = 7
⇒ One day work of B = 3
Let A worked for x days and B worked for 16 days
⇒ 4x + 3 × 16 = 84
⇒ x = 9 days
∴ A left the work before (16 - 9 =) 7 days.
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