21-12-2012, 01:02 PM
TIME AND WORK WORKSHEET IV
TIME AND WORK.doc (Size: 39 KB / Downloads: 37)
1. There are 3 workers A, B and C, who take 6, 4 and 8 hours respectively for making a toy by
themselves. How long it would take if all were to work together?
(a) 4 hours (b) 3 hours © 2 hours (d) 6 hours
2. A can complete a work in 16 days; but working with B they finish the job in 12 days. In how many days can B do it alone?
(a) 16 days (b) 24 days © 48 days (d) 60 days
3. M can complete a work in 16 days and N in 32 days. M works alone for 4 days and then N joins him. In how much time is the work completed now?
(a) 16 days (b) 8 days © 24 days (d) 12 days
4. A alone completes a work in 10 days, and B alone in 15 days, but after working for 3 days, B quits. How long will A take to complete the remaining work?
(a) 4 days (b) 6 days © 8 days (d) 5 days
5. A, B, C can do a work in 20, 25 and 50 days respectively. After A & C work together for 5 days, C quits. He is replaced by B. In how many days is the work completed approximately?
(a) 12 days (b) 20 days © 25 days (d) 14 days
6. A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. If A, B and C work together, they will complete the work in:
(a) 5 days (b) 6 days © 10 days (d) 12 days
7. A takes twice as much time as B or thrice as much time to finish as C for a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:
(a) 4 days (b) 6 days © 8 days (d) 12 days
8. X can do 1/4th of a work in 10 days, Y can do 40% of the work in 40 days and Z can do 1/3rd of the work in 13 days. Who will complete the work first?
(a) X (b) Y © Z (d) both X and Z
9. Two workers A and B are engaged to do a work. A working alone takes 8 hours more to complete the job than if both worked together. If B worked alone, he would need 4 ½ hours more to complete the job than they both working together. What time would they take to do the work together?
(a) 4 Hours (b) 5 Hours © 6 Hours (d) 7 Hours
10. P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?
(a) 5 5/11days (b) 5 6/11 days © 6 5/11 days (d) 6 6/11 days
11. A is 20% more efficient than B. If they work together, they complete the work in 45 days. In how many days would A alone do the job?
(a) 80 days (b) 82.5 days © 90 days (d) 100 days
12.5 women and 3 children can do a piece of work in 60 days. In how many days can 15 women and 9 children do 1/4th of the work if they work 2 times as hard as before?
(a) 3 days (b) 4 days © 2.5 days (d) 5 days
13. Two taps A and B fill a tank in 12 and 18 hours. The tank is already (1/6th) full. Both taps are opened and after 2 hours B is shut. How much more time it takes to fill the tank?
(a) 6.67 hours (b) 7 hours © 8 hours (d) 12 hours
14. Two taps A and B fill a tank in 8 and 12 hours and a tap C empties in 24 hours. When all are opened, in how much time is the tank filled?
(a) 7 hours (b) 5 hours © Never (d) 6 hours
15. 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, the tank will be full in:
(a) 5hours (b) 6 hours © 6 2/3 hours (d) 7 ½ hours
16. Two pipes A and B can fill a tank in 6 hours and $ hours respectively. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full?
(a) 4 hours (b) 4 ½ hours © 5 hours (d) 5 ½ hours
17. If all labourers were to report for a work it would take 24 days to complete a job but if 7 were absent then it would take 38 days to complete the job. How many labourers were employed?
(a) 13 (b) 19 © 17 (d) cannot say
18. 2 men or 3 boys can do a piece of work in 10 days. In how much time can 10 men and 6 boys do 7 times the work?
(a) 6.67 days (b) 10 days © 4.15 days (d) 2.70 days
19. The work done by a man, a women and a child is in the ratio of 3:2:1. There are 20 men, 30 women and 36 children in a factory. Their weekly wages amount to Rs.780, which is divided in the ratio of work done by the men, women and children. What will be the wages of 15 men, 21 women and 30 children for 2 weeks?
(a) 585 (b) 292.5 © 1170 (d) 900