If Jeremy and Vincent work together, they can complete a job in 12 days. If Jeremy and Vincent worked together for 6 days, followed by Vincent who worked alone for the next 24 days, they can finish off the job.
- How many days would Vincent need to complete the job alone?
- How many days would Jeremy need to complete the job alone?
(a)
Time taken by Jeremy and Vincent if they work together:
12 days → 1 job
1 day →
112 job
6 days →
612 =
12 job
Time taken by Vincent if he works alone:
24 days → 1 -
12 =
12 job
1 day →
12 ÷ 24 =
12 x
124 =
148 job
1 job → 48 days
(b)
Time taken by Jeremy if he works alone:
1 day →
112 -
148 =
348 =
116 job
116 job → 1 day
1 job → 1 ÷
116 = 16 days
Answer(s): (a) 48; (b) 16