a and b working separately can do a piece of work in 9 days and 12 days respectively if they work for 10 days alternately a beginning in how many days a work will be completed
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A can complete total work in 9 days.
One day work of A = 1/9 part.
B can complete work in 12 days.
One day work of B = 1/12 part.
A and B together can complete work in one day,
= 1/9 + 1/12
= (4 +3)/36 = 7/36 part.
Take, 2 days = 1 time unit.
To time unit needed to complete the work,
= 1/(7/36) = 36/7 = 5 time unit approx.
Total Time = 2 *5 = 10 days.
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