If Vincent and Perry work together, they can complete a job in 12 days. If Vincent and Perry worked together for 9 days, followed by Perry who worked alone for the next 21 days, they can finish off the job.
- How many days would Perry need to complete the job alone?
- How many days would Vincent need to complete the job alone?
(a)
Time taken by Vincent and Perry if they work together:
12 days → 1 job
1 day →
112 job
9 days →
912 =
34 job
Time taken by Perry if he works alone:
21 days → 1 -
34 =
14 job
1 day →
14 ÷ 21 =
14 x
121 =
184 job
1 job → 84 days
(b)
Time taken by Vincent if he works alone:
1 day →
112 -
184 =
684 =
114 job
114 job → 1 day
1 job → 1 ÷
114 = 14 days
Answer(s): (a) 84; (b) 14