A and B can finish a piece of work in 12 days and 18 days respectively. A begins to do the work and they work alternately one at a time for one day each. The whole work will be completed in  Select.
A) 14 1/3 days  B) 15 2/3 days  C) 16 1/3 days  D) 18 2/3 days  E) None of these
Explanation:   Both of them together can finish the work (daily working) in 12 × 18/30 days = 36/5   = 7 1/5 days.   By working in alternate days, their 2 day’s work = 5/36   Their, 14 day’s work (because they take more than double of 7 days) = 5/36 × 7   = 35/36   Remaining work = 1 – 35/36 = 1/36   Because A started the work, the remaining work is finished by A   A’s 1 day’s work = 1/12   Therefore, the No. of days taken by A to finish 1/36 work = 1/36/1/12 = 1/3 days.   Therefore, the total work is completed in 14 + 1/3 = 14 1/3 days.   14 1/3 daysnswer: Option 14 1/3 days
<result>A</result>
A and B can finish a piece of work in 12 days and 18 days respectively. A begins to do the work and they work alternately one at a time for one day each. The whole work will be completed in