business mathematics

Time And Work Practice Problems:

For Time And Work concept click: http://business-maths.blogspot.com/2008/08/time-and-work.html

For Time And Work solved problems click: http://business-maths.blogspot.com/2008/11/time-and-work-problems.html

Practice Problems:

1.If 20 men take 30 days to complete a job.In how many days can 25 men complete the job?
a)28 days b)24 days c)36 days d)20 days

2.Fifteen men take 10 days to complete a job working 12 hours a day.How many hours a day should 10 men work to complete the job in 20 days?
a)20 days b)8 days c)9 days d)10 days

3.A piece of work can be done by 16 men in 8 days working 12 hours a day.How many men are needed to complete another work, which is three times the first one,in 24 days working 8
hours a day?
a)24 men b)29 men c)20 men d)30 men

4.A can do a piece of work in 9 days.,B can do the same in 12 days.In how many days can the work be completed if A and B work together?
a)5 1/9 days b)5 1/4 days c)5 1/3 days d)5 1/7 days

5.A and B together can do a piece of work in 12 days and A alone can complete the work in 18 days. How long will B alone take to complete the job?
a)30 days b)36 days c)6 days d)56 days

6.Anil and Amit can complete a job in 12 days working together. Amit alone can complete it in 16 days.Both of them worked together for 4 days and then Amit left. How long will Anil take to complete the remaining work?
a)30 days b)47 days c)32 days d)24 days

7.A and B can do a piece of work in 12 days,B and C can do it in 15 days and C and A can do the same work in 20 days. How long would each take to complete the job?
a)1/30,1/20,1/60 b)1/20,1/30,1/30 c)1/20,1/20,1/20 d)1/60,1/0,1/30

8.A and B can do a work in 12 days,B and C in 15 days and C and A in 20 days.They all work together for 6 days and then A left.In how many more days can B and C finish the remaining work?
a)5 days b)6 days c)8 days d)9 days

9.A can do a work in 12 days.When he had worked for 3 days B joined him.If they complete the work in 3 more days.In how many days can B alone can finish the work?
a)5 days b)6 days c)8 days d)9 days

10.A and B together can do a piece of work in 14 2/5 days;B and C together can do the same work in 12 days.After A worked for 8 days,B for 12 days C takes up and finished it alone in 6 days.In how many days will each of them do the work,working alone?
a)28 days b)24 days c)36 days d)20 days

11.To do a certain work C alone takes twice as long as A and B together.A would take 3 times as long as B and C together.All three together complete the work in 5 days.How long would each take separately?
a)15 days b)29 days c)20 days d)10 days

12.4 men or 5 women can construct a wall in 82 days.How long will it take 5 men and 4 women to do the same?
a)30 days b)47 days c)32 days d)40days

13.If 9 men and 12 boys can do a piece of work in 4 days and 4 men and 16 boys can do the same piece of work in 6 days.how long will 6 men and 24 boys take to complete the same work?
a)5 days b)6 days c)8 days d)4 days

14.A certain number of men can do a work in 20 days.If there were 4 more men,the work can be done in 5 days less.How many men were there initially?
a)12 days b)18 days c)16 days d)4 days

15.X is 3 times as fast as Y and is able to complete the work in 40 days less than Y.Find the time in which they can complete the work together?
a)12 days b)17 days c)19 days d)15 days

16.Sita can finish some work in 12 days working 4 hours a day. Gita can finish the same in 15 days working 3 hours a day.In how many days can they finish it working together at 4 1/2 hours a day?
a)5 5/31 days b)5 5/32 days c)5 5/33 days d)5 5/34 days

17.A alone can do a work in 12 days and B alone in 18 days.If C takes twice as long as A and B together,how long will B and C together take to complete the same work?
a)5 days b)6 days c)8 days d)4 days

18.A and B each working alone can do a work in 10 and 15 days respectively.They started the work together but B left after sometime and A finished the remaining work in 5 days.After how many days from the start did B leave?
a)4 days b)3 days c)2 days d)8 days

19.A contractor decided to complete the work in 40 days and employed 60 men at the beginning and 40 men additionally after 10 days and got the work completed as per schedule.If he had not employed the additional men,how many extra days would he have needed to complete the work?
a)30 days b)20 days c)40 days d)45 days

20.A group of 35 men is employed to complete some work in 48 days.After 33 days,5 more men are employed and the work is finished 1 day earlier.If 5 more men were not employed,how many more days would it have taken beyond the expected period?
a)7 day behind schedule
b)3 day behind schedule
c)2 day behind schedule
d)1 day behind schedule