If Sam and Luis work together, they can complete a job in 10 days. If Sam and Luis worked together for 8 days, followed by Luis who worked alone for the next 22 days, they can finish off the job.
- How many days would Luis need to complete the job alone?
- How many days would Sam need to complete the job alone?
(a)
Time taken by Sam and Luis if they work together:
10 days → 1 job
1 day →
110 job
8 days →
810 =
45 job
Time taken by Luis if he works alone:
22 days → 1 -
45 =
15 job
1 day →
15 ÷ 22 =
15 x
122 =
1110 job
1 job → 110 days
(b)
Time taken by Sam if he works alone:
1 day →
110 -
1110 =
10110 =
111 job
111 job → 1 day
1 job → 1 ÷
111 = 11 days
Answer(s): (a) 110; (b) 11