If Dylan and Lee work together, they can complete a job in 12 days. If Dylan and Lee worked together for 9 days, followed by Lee who worked alone for the next 15 days, they can finish off the job.
- How many days would Lee need to complete the job alone?
- How many days would Dylan need to complete the job alone?
(a)
Time taken by Dylan and Lee if they work together:
12 days → 1 job
1 day →
112 job
9 days →
912 =
34 job
Time taken by Lee if he works alone:
15 days → 1 -
34 =
14 job
1 day →
14 ÷ 15 =
14 x
115 =
160 job
1 job → 60 days
(b)
Time taken by Dylan if he works alone:
1 day →
112 -
160 =
460 =
115 job
115 job → 1 day
1 job → 1 ÷
115 = 15 days
Answer(s): (a) 60; (b) 15