If Oliver and Peter work together, they can complete a job in 15 days. If Oliver and Peter worked together for 10 days, followed by Peter who worked alone for the next 20 days, they can finish off the job.
- How many days would Peter need to complete the job alone?
- How many days would Oliver need to complete the job alone?
(a)
Time taken by Oliver and Peter if they work together:
15 days → 1 job
1 day →
115 job
10 days →
1015 =
23 job
Time taken by Peter if he works alone:
20 days → 1 -
23 =
13 job
1 day →
13 ÷ 20 =
13 x
120 =
160 job
1 job → 60 days
(b)
Time taken by Oliver if he works alone:
1 day →
115 -
160 =
360 =
120 job
120 job → 1 day
1 job → 1 ÷
120 = 20 days
Answer(s): (a) 60; (b) 20