A alone can complete a work in 16 days and B alone in12 days. Starting with A, they work on alternate days.The total work will be completed in: About the author Remi
work done by the ‘A’in one day = 1/16 = 3/48 work done by the ‘B’in one day = 1/12 = 4/48 (48 = lcm(12, 16)) Assuming the work divided into 48 parts, the amount of work completed each day forms the series 3, 4, 3, 4, 3, 4, . In 12 days, 42 parts will be finished In 13 days, 45 parts will be finished In 14 days, 49 parts will be finished But since there is only 48 parts of the work, the work will be finished in 13.75 days. Since number of days should be integer, it means answer is 14 days. Reply
work done by the ‘A’in one day = 1/16 = 3/48
work done by the ‘B’in one day = 1/12 = 4/48
(48 = lcm(12, 16))
Assuming the work divided into 48 parts, the amount of work completed each day forms the series 3, 4, 3, 4, 3, 4, .
In 12 days, 42 parts will be finished
In 13 days, 45 parts will be finished
In 14 days, 49 parts will be finished
But since there is only 48 parts of the work,
the work will be finished in 13.75 days.
Since number of days should be integer, it means answer is 14 days.