If Charlie and Perry work together, they can complete a job in 8 days. If Charlie and Perry worked together for 6 days, followed by Perry who worked alone for the next 18 days, they can finish off the job.
- How many days would Perry need to complete the job alone?
- How many days would Charlie need to complete the job alone?
(a)
Time taken by Charlie and Perry if they work together:
8 days → 1 job
1 day →
18 job
6 days →
68 =
34 job
Time taken by Perry if he works alone:
18 days → 1 -
34 =
14 job
1 day →
14 ÷ 18 =
14 x
118 =
172 job
1 job → 72 days
(b)
Time taken by Charlie if he works alone:
1 day →
18 -
172 =
872 =
19 job
19 job → 1 day
1 job → 1 ÷
19 = 9 days
Answer(s): (a) 72; (b) 9