TIME AND WORK

TIME AND WORK PROBLEMS

 1. ‘A’ can complete a piece of work in 12 days. ‘A’ and ‘B’ together can complete the same piece of work in 8 days. In how many days can ‘B’ alone complete the same piece of work?

 (a) 15 days (b) 18 days (c) 24 days (d) 28 days 

2. 12 Men can complete one-third of the work in 8 days. In how many days can 16 men complete that work?

 (a) 18 (b) 12 (c) 24 (d) Cannot be determined 

3. A can finish a work in 18 days and B can do the same work in half the time taken by A. Then, working together, what part of the same work can they finish in a day? 

(a) 16 (b) 19 (c) 25 (d) 27 

4. A and B can finish a work in 10 days while B and C can do it in 18 days. A started the work, worked for 5 days, then B worked for 10 days and the remaining work was finished by C in 15 days. In how many days could C alone have finished the whole work ?

 (a) 30 days (b) 15 days (c) 45 days (d) 24 days 

5. Two pipes A and B can fill a cistern in 10 and 15 minutes respectively. Both fill pipes are opened together, but at the end of 3 minutes, ‘B’ is turned off. How much time will the cistern take to fill ?

 (a) 6 min (b) 8 min (c) 10 min (d) 12 min

 6. A sum of ` 25 was paid for a work which A can do in 32 days, B in 20 days, B and C together in 12 days and D in 24 days. How much did C receive if all the four work together? 

(a) ` 14 3 (b) ` 16 3 (c) ` 15 3 (d) ` 17 3 

7. Sunil and Pradeep can complete a work in 5 days and 15 days respectively. They both work for one day and then Sunil leaves. In how many days will the remaining work be completed by Pradeep ?

 (a) 11 days (b) 12 days (c) 15 days (d) 8 days

 8. If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same work will be: 

(a) 4 days (b) 5 days (c) 6 days (d) 7 days

 9. 12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining work? 

(a) 2 days (b) 3 days (c) 4 days (d) 5 days 

10. Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, then the tank will be full in :

 (a) 6 hrs. (b) 2 6 hrs. 3 (c) 7 hrs. (d) 1 7 hrs.