Time and work · solved example
A can complete a piece of work in 15 days and B in 10 days. Working together, in how many days will they finish it?
- 5
- 6Correct
- 7
- 8
- 9
Solution
In one day A does 1/15 and B does 1/10 of the work. Together that is 1/15 + 1/10 = 2/30 + 3/30 = 5/30 = 1/6 per day, so the whole work takes 6 days. The LCM method also works: let the work be 30 units, A does 2 a day and B does 3, giving 5 a day and 30 / 5 = 6 days.