If Cody and Asher work together, they can complete a job in 12 days. If Cody and Asher worked together for 6 days, followed by Asher who worked alone for the next 18 days, they can finish off the job.
- How many days would Asher need to complete the job alone?
- How many days would Cody need to complete the job alone?
(a)
Time taken by Cody and Asher if they work together:
12 days → 1 job
1 day →
112 job
6 days →
612 =
12 job
Time taken by Asher if he works alone:
18 days → 1 -
12 =
12 job
1 day →
12 ÷ 18 =
12 x
118 =
136 job
1 job → 36 days
(b)
Time taken by Cody if he works alone:
1 day →
112 -
136 =
236 =
118 job
118 job → 1 day
1 job → 1 ÷
118 = 18 days
Answer(s): (a) 36; (b) 18