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Problems on Time and work

TIME AND WORK
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 ealier.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 21.A and B working separately can do a piece of work in 6 and 9 days respectively;they work on althernate days starting with A on the first day.In how many days will the work be done? a)4 days b)3 days c)2 days d)7 days 22.A and B working separately can do a piece of work in 6 and 12 days respectively.They work on alternate days starting with A on the first day.In how many days will the work be completed? a)4 days b)3 days c)2 days d)8 days 23.A and B working separately,can do a piece of work in 12 and 15 days .They work on alternate days starting with A on the first day.In how many days will the work be completed? a13 1/4 days b)13 2/4 days c)13 3/4 days d)135/4 days 24.A and B working separately can do a piece of work in 20 and 24 days.They work on alternate days starting with B on the first day.In how many days will the work be completed? a)21 5/6 days b)21 1/6 days c)21 4/5 days d)none of these 25.A ,B and C can do a piece of work in 4,5 and 7 days respectively.They got Rs.415 for the job. what is A's share? a)120 b)175 c)160 d)140 26.A,B and C contract a work for Rs.4500.A and B together complete 3/5th of the work and then C takes over and finished the work.What is the amount got by C? a)1200 b)1800 c)1600 d)1400 27.Wages for 40 women for 30 days are Rs,21,600.How many men must work for 25 days to earn Rs. 14,400 if the daily wages for a man are double that of a women? a)12 b)14 c)16 d)19 28.A,B and C can together earn Rs.1,620 in 9 days.A and C can earn Rs.600 in 5 days where as B and C in 7 days can earn Rs 910.Find the daily earnings of C? a)Rs 60 b)Rs 70 c)Rs 80 d)Rs 90 29.A can do a piece of work in 20 days and B in 30 days.A starts the work and worked for 6 days. Then B completed the remaining part of the work.In how many days was the work completed? a)24 b)27 c)32 d)34 30.A can do a piece of work in 24 days and B in 48 days.B joins A after A had worked alone for 6 days.In how many more days would the work get completed? a)10 b)11 c)12 d)13 31.P can complete a piece of work in 20 days and Q in 30 days.P worked alone for 4 days and then Q completed the remaining work along with R in 18 days.In how many days can R working alone complete the work? a)60 b)65 c)80 d)90 32.25 men take 25 days to construct a wall 10 m high.How many men would be required to construct a similar wall,which is 8 m high,if it is planned that the work would be completed in 10 days? a)32 b)40 c)44 d)48 33.20 cows and 40 goats can be kept for 10 days for Rs.460.What would be the cost of keeping 50 cows and 30 goats for 12 days if the cost of keeping 5 goats is the same as cost of keeping 1 cow? a)Rs 888 b)Rs 965 c)Rs 1007 d)Rs 1104 34.A,B and C started the work and after completing 1/5th of the work C left.A and B then worked for 20 days.C then took over from A and B and completed the remaining portion of the work in 12 days.If C takes 40 days to complete the work , in how many days wourd A alone or B alone complete the work if the efficiencies with which they work is the same? a)40 b)60 c)80 d)100 35.A boy is trying to cover a distance of 100 meters.He takes a jump forward and covers 2m,but every time he jumps forward he also moves 1m backward.In all,how many jumps would be required to cover the distance? a)99 b)100 c)98 d)none of these 36.A piece of work can be completed by 10 men in certain number of days.If there were 2 men less it would have taken 3 more days to complete the work.In how many days can 24 men complete the same work? a)2 b)3 c)4 d)5 37.A is 80 % more efficient than B who is 60% more efficient than C.A takes 40 days less than B to complete a work. A starts the work and works for 25 days and then B takes over.B then work for the next 30 days and then stops.In how much more time can C complete the remaining work? a)20 days b)24 days c)32 days d)40 days 38.3 men and 5 women can complete a work in 12 days ,which 5 men and 12 women can complete in 6 days.In how many days can 4 men and 4 women complete the same work? a)7 b)10 c)11 d)12 39.P and Q agreed to complete a job in 15 days for Rs 6200.P can complete the same job in 50 days and Q in 30 days.They had to take R to complete the work in time.Find R's share in the money earned by them. a)Rs 880 b)Rs 1240 c)Rs 1460 d)Rs 2020 40.A and B complete a piece of work in 10 days.B and C in 12 days and C and A in 15 days.All the three of them started working and then B left after 4 days.C left 3 days after that and then immediately B joined A again to complete the remaining work.In how many days was the work completed? a)10 b)12 c)14 d)22

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