Mrs Smith has drawn up a schedule to have her home cleaned by 3 part-time workers. The cleaner goes to her home once every 3 days, the sweeper once every 4 days, and the gardener once every 6 days. If the 3 workers first met on 28 July, when was the earliest date the cleaner has to start work?
Originally posted by Ngml:Mrs Smith has drawn up a schedule to have her home cleaned by 3 part-time workers. The cleaner goes to her home once every 3 days, the sweeper once every 4 days, and the gardener once every 6 days. If the 3 workers first met on 28 July, when was the earliest date the cleaner has to start work?
Cleaner works on : 3rd day, 6th day, 9th day, 12th day
Sweeper works on : 4th day, 8th day, 12th day
Gardener works on : 6th day, 12th day
Thus, the 3 workers meet once every 12 days.
The previous time they meet was on : 28 July - 12 days = 16 July
This was probably the date when they were briefed, and since the 1st working date for the cleaner is 3 days later, the 1st working date for the cleaner will be :
16 July + 3 days = 19 July
Thanks.