Workers P and Q can complete a task in 16 days if working together. P alone takes 24 days. If P and Q start the task together, but Q leaves after 4 days, how many more days will P alone take to finish the work?
18 days
P and Q's combined 1-day work \(= \frac{1}{16}\).
P's 1-day work \(= \frac{1}{24}\).
Work done together in 4 days \(= 4 \times \frac{1}{16} = \frac{1}{4}\).
Remaining work \(= 1 - \frac{1}{4} = \frac{3}{4}\).
Days needed by P alone to finish remaining work \(= \frac{3}{4} \div \frac{1}{24} = \frac{3}{4} \times 24 = 18\) days.
Hence, P alone will take 18 more days to finish the work.
Similar Questions
- A can lay railway track between two given stations in 22 days and B can do the same job in 10 days. With the help of C, they did the job in 2 days only. Then, C alone can do the job in
- Anjani can do a certain piece of work in 24 days. Anjani and Khushbu can together do the same work in 12 days, and Anjani, Khushbu and Sushmita can do the same work together in 9 days. In how many days can Anjani and Sushmita do the same work together?
- Hema can do a certain piece of work in 30 days. Hema and Raji can together do the same work in 22 days, and Hema, Raji and Smitha can do the same work together in 15 days. In how many days can Hema and Smitha do the same work together?
- A can lay railway track between two given stations in 21 days and B can do the same job in 16 days. With the help of C, they did the job in 2 days only. Then, C alone can do the job in
- Working $5\text{ h}$ a day, A can complete a task in $8\text{ days}$ and working $6\text{ h}$ a day, B can complete the same task in $10\text{ days}$. Working $8\text{ h}$ a day, they can jointly complete the task in:
- A does half as much work as B in three-fourth of the time taken by B. If together they take $12\text{ days}$ to complete the work, how much time shall B take to do it alone?
- A is only $40\%$ as efficient as B. C is $50\%$ as efficient as A and B together. If C alone completes the task in $30\text{ days}$, then A, B and C together can complete the task in:
- A can complete a piece of work in 60 days. He worked for 15 days and B finished the remaining work in 30 days. If they work together then the work will be completed in:
- If 24 persons can complete a task in 5 days, in how many days, 6 persons would be able to complete it?
- 15 men or 25 women can reap a field in 22 days. How many days will 9 men and 18 women take to reap it?
Important Questions from Time and Work
Surbhi can do a piece of work in 24 days. She completed 3/8 of the work and then left it. Amit can complete the remaining work in 10 days. Working together, they will complete 125% of the same work in:
Rama and Hari can together finish a piece of work in 15 day. Rama works twice as fast as Hari, then Hari alone can finish work in :
Anil, Deepak and Dinesh together can complete a work in 35 days. Anil and Dinesh together can complete the same work in 60 days. In how many days Deepak alone can complete the same work?
Anu is four times as good as Binni in completing a task. Together they finish the same task in 7 hours. In how many hours will Anu alone complete the task?
P, Q and R can complete a work in 10 days, 20 days and 30 days, respectively, working alone. How soon can the work be completed if P is assisted by Q and R on alternate days?
