A can complete a work in 18 days, while B can complete it in 12 days. B worked on it for 4 days. How long will A take to complete the remaining work?(1 Point)16 days12 days14 days10 days
Question
A can complete a work in 18 days, while B can complete it in 12 days. B worked on it for 4 days. How long will A take to complete the remaining work?(1 Point)16 days12 days14 days10 days
Solution
To solve this problem, we first need to find out how much work B has done in 4 days.
- B's work rate is 1 job per 12 days, so in one day B can do 1/12 of the job.
- In 4 days, B will have done 4 * (1/12) = 1/3 of the job.
- This means that 2/3 of the job is left.
Now, we need to find out how long it will take A to do the remaining 2/3 of the job.
- A's work rate is 1 job per 18 days, so in one day A can do 1/18 of the job.
- To find out how long it will take A to do 2/3 of the job, we divide 2/3 by A's daily work rate: (2/3) / (1/18) = 12 days.
So, A will take 12 days to complete the remaining work.
Similar Questions
A alone can complete a work in 16 days and B alone in 12 days. Starting with A, they work on alternate days. The total work will be completed in ______.
A and B can complete a work in 6 days.A can alone do it in 10 days.Then B can alone do the work in how many days?A13.75 daysB14 daysC16 daysD15 days
A does a work in 12 days and B does the same work in 18 days.In how many days they together will do the same work?
A started a work and left working after 9 days now B finished the remaining work in 24 days. Had A left the work after working for 13 days then B would have finished the remaining work in next 18 days. Then find in how many days A and B together can complete the work?Options12 days16 days18 days15 days
A can do a piece of work in 8 days and B can do the same work in 10 days. They started the work together but after 3 days, A left . In how many days B can complete the remaining work?4 days7 days7.5 days3. 25 days
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.