Time & Work Test 4

1. Efficiency of Ankita is 50% more than that of Anjali and Anjali takes 18 days to complete a piece of work. Ankita started a work alone and then Anjali joined him 5 days before actual completion of the work. For how many days Ankita worked alone?

2. A piece of work is done by three persons Rakesh Yadav,Bhuvnesh and Pawan in 5 days in the following manner : Rakesh yadav works for whole time, Bhuvnesh only on the first two days and pawan only on the last three days. This work could have been done by Bhuvnesh and pawan in 6 days without involving Rakesh yadav. If Bhuvnesh and Pawan working together can do as much work in 2 days as Rakesh Yadav can do in 3 days, then find how long will it take for each one to do this work alone?

3. Two typists of varying skills can do a job in 6 minutes if they work together. If the first typist typed alone for 4 minutes and then the second typist typed alone for 6 minutes, they would be left with 1 5 of the whole work. How many minutes would it take the slower typist to complete the typing job working alone?

4. If the work done by (x – 1) men in (x + 1) days is to the work done by (x + 2) men in (x – 1) days is in the ratio 9 : 10, then the value of x is equal to :

5. A, B, and C can do a piece of work in 10, 20 and 40 days respectively. If A works on the first day, B on the second day and C works on the third day and again the same process is repeated. How long will it take to complete the work if they works in this manner.

6. Three machines A, B and C can make 12000 needles in 2 hours, 4 hours and 3 hours respectively. All three machines works for half an hour each but not together. Find the number of hours to make 18500 needles.

7. A and B can do a piece of work in 20 days working together. They work for 5 days and after it C assists them and the work is completed 5 days before. If 3 days work of B is equal to 2 days work of C. Find in how many hours they can do it separately.

8. A, B, C and D can do a piece of work in 12, 16, 24 and 36 days. A starts the work and after each day B, C and D join the work respectively. Find the time to complete the task.

9. A, B, C and D can do a piece of work in 24, 16, 32 and 12 days respectively. If A started the work and after one day B and C also joined him. After two days of that A left the job and mean while D joined the work. If B and C left the work 2 days and 4 days respectively before the completion of work. Find how many days D had done the work?

10. A can do a piece of work in 120 days while B can do it in 150 days. They started together and worked for 20 days after this B left the work and A continued it. 12 days after C joined A and the remaining work was completed in 48 days. How long will it take C to complete the work alone ?

11. If 2 men or 3 women or 4 boys can do a piece of work in 52 days, then the same piece of work will be done by 1 man, 1 woman and 1 boy in :

12. 2 men or 5 women or 7 boys can finish a work in 469 days, then the number of days taken by 7 men, 5 women and 2 boys to finish the work in :

13. 6 children and 2 men complete a certain piece of work in 6 days. Each child takes twice the time taken by a man to finish the work. In how many days will 5 men finish the same work?

14. 450 man-days of work can be completed by certain number of men in some days. If the number of people (men) are increased by 27 , then the number of days required to complete the same work is decreased by 15. The number of days required to complete the three times work (than the previous/actual work) by 27 men?

15. 33 men can do a job in 30 days. If 44 men started the job together and after every day of the work, one person leaves. What is the minimum number of days required to complete the whole work?

16. Two pipes A and B can fill a tank in 20 minuuts and 30 minutes respectively. If both pipes are opened together, the time taken to fill the tank is:

17. Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern?

18. A cistern is provided with two pipes A and B. A can fill it in 20 minutes and B can empty it in 30 minutes. If A and B be kept open alternately for one minute each, how soon will the cistern be filled?

19. If 1/3 rd of tank holds 80 litres of water, then the quantity of water that 1/2 tank holds is :

20. A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?