Working alone, A can do a job in 15 days and B can do the same job in 18 days. In how many days will the job be completed if both work together?
1). 11/90 days
2). 90/11 days
3). 5/36 days
4). 36/5 days
Time taken by A to do a job = 15 days
∴ Work done by A in 1 day = 1/15
Time taken by B to do the job = 18 days
∴ Work done by B in 1 day = 1/18
Total work done by A and B in 1 day = 1/15 + 1/18 = (6 + 5)/90 = 11/90
∴ Time taken to complete the work if they work together = 90/11 days