Time & Work Worksheet-5

Time & Work Worksheet-5

1. 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

(e) None of these

2. Three men, four women and six children can complete a work in seven days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days?

(a) 7                                                 (b) 8

(c) 12                                               (d) Cannot be determined

(e) None of these

3. A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in of a day?

(a) 1                     (b) 4                    (c) 19                  (d) 41

4. 10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?

(a) 90                 (b) 125                (c) 145                (d) 150

(e) None of these

5. 12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in 3 days?

(a) 15                  (b) 18                  (c) 22                  (d) Data inadequate

(e) None of these

6. 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

(a) 3                                                 (b) 5

(c) 7                                                 (d) Cannot be determined

(e) None of these

7. Sixteen men can complete a work in twelve days. Twenty-four children can complete the same work in eighteen days. Twelve men and eight children started working and after eight days three more children joined them. How many days will they now take to complete the remaining work?

(a) 2 days           (b) 4 days          (c) 6 days           (d) 8 days

(e) None of these

8. Twenty-four men can complete a work in sixteen days. Thirty-two women can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for twelve days. How many more men are to be added to complete the remaining work in 2 days?

(a) 16                  (b) 24                 (c) 36                  (d) 48

(e) None of these

9. 5 men and 2 boys working together can do four times as much work as a man and a boy. Working capacities of a woman and a boy are in the ratio:

(a) 1 : 2               (b) 2 : 1               (c) 1 : 3               (d) 3 : 1

10. If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is:

(a) 2 : 1               (b) 3 : 1               (c) 3 : 2              (d) 5 : 4

11. 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

(a) 35                  (b) 40                 (c) 45                  (d) 50

12. One man, 3 women and 4 boys can do a piece of work in 96 hours, 2 men and 8 boys can do it in 80 hours, 2 men and 3 women can do it in 120 hours. 5 men and 12 boys can do it in:

(a) hours                             (b) hours

(c) hours                             (d) 44 hours

13. 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 type of work will be:

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

Answer Key:

(1)-a; (2)-a; (3)-d; (4)-e; (5)-a; (6)-c; (7)-b; (8)-b; (9)-b; (10)-a; (11)-b; (12)-c; (13)-a