Time and WorkTime and Work

Sabith BSabith B BE Computer ScienceBE Computer Science

byari89@gmail.combyari89@gmail.com

Work from Days:Work from Days: If A can do a piece of work in If A can do a piece of work in nn days,  days,

then A's 1 day's work =1/then A's 1 day's work =1/nn Days from Work:Days from Work: If A's 1 day's work =1,then A can finish If A's 1 day's work =1,then A can finish

the work in the work in nn days. days.nn Ratio:Ratio: If A is thrice as good a workman as B, If A is thrice as good a workman as B,

then:then: Ratio of work done by A and B = 3 : 1.Ratio of work done by A and B = 3 : 1. Ratio of times taken by A and B to Ratio of times taken by A and B to

finish a work = 1 : 3.finish a work = 1 : 3.

2. Twenty women can do a work in 2. Twenty women can do a work in sixteen days. Sixteen men can sixteen days. Sixteen men can complete the same work in fifteen complete the same work in fifteen days. What is the ratio between the days. What is the ratio between the capacity of a man and a woman?capacity of a man and a woman?

A.A.3 : 43 : 4 B.B.4 : 34 : 3 C.C.5 : 35 : 3 D.D.Data inadequateData inadequate

3. P can complete a work in 12 days 3. P can complete a work in 12 days working 8 hours a day. Q can working 8 hours a day. Q can complete the same work in 8 days complete the same work in 8 days working 10 hours a day. If both P working 10 hours a day. If both P and Q work together, working 8 and Q work together, working 8 hours a day, in how many days can hours a day, in how many days can they complete the work?they complete the work?

A.A.5 5/115 5/11 B.B.5 6/115 6/11 C.C.6 5/116 5/11 D.D.6 6/116 6/11

4. X and Y can do a piece of work in 4. X and Y can do a piece of work in 20 days and 12 days respectively. X 20 days and 12 days respectively. X started the work alone and then after started the work alone and then after 4 days Y joined him till the 4 days Y joined him till the completion of the work. How long completion of the work. How long did the work last?did the work last?

A.A.6 days6 days B.B.10 days10 days C.C.15 days15 days D.D.20 days20 days

5. 4 men and 6 women can 5. 4 men and 6 women can complete a work in 8 days, while 3 complete a work in 8 days, while 3 men and 7 women can complete it men and 7 women can complete it in 10 days. In how many days will in 10 days. In how many days will 10 women complete it?10 women complete it?

A.A.3535 B.B.4040 C.C.4545 D.D.5050

6. A alone can do a piece of work 6. A alone can do a piece of work in 6 days and B alone in 8 days. A in 6 days and B alone in 8 days. A and B undertook to do it for Rs. and B undertook to do it for Rs. 3200. With the help of C, they 3200. With the help of C, they completed the work in 3 days. How completed the work in 3 days. How much is to be paid to C? much is to be paid to C?

A.Rs. 375A.Rs. 375 B.Rs. 400B.Rs. 400 C.Rs. 600C.Rs. 600 D.Rs. 800D.Rs. 800

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

A.3A.3 B.5B.5 C.7C.7 D.Cannot be D.Cannot be

determineddetermined E.None of theseE.None of these

8. A, B and C can complete a piece 8. A, B and C can complete a piece of work in 24, 6 and 12 days of work in 24, 6 and 12 days respectively. Working together, respectively. Working together, they will complete the same work they will complete the same work in: in:

A.1/24 dayA.1/24 dayB.7/24 dayB.7/24 day C.3 3/7daysC.3 3/7days D.4 daysD.4 days

9. A and B together can do a piece 9. A and B together can do a piece of work in 30 days. A having of work in 30 days. A having worked for 16 days, B finishes the worked for 16 days, B finishes the remaining work alone in 44 days. remaining work alone in 44 days. In how many days shall B finish In how many days shall B finish the whole work alone? the whole work alone?

A.30 daysA.30 days B.40 daysB.40 days C.60 daysC.60 days D.70 daysD.70 days

10. A, B and C can do a piece of 10. A, B and C can do a piece of work in 20, 30 and 60 days work in 20, 30 and 60 days respectively. In how many days can respectively. In how many days can A do the work if he is assisted by B A do the work if he is assisted by B and C on every third day?and C on every third day?

A.12 daysA.12 days B.15 daysB.15 days C.16 daysC.16 days D.18 daysD.18 days

11. A takes twice as much time as 11. A takes twice as much time as B or thrice as much time as C to B or thrice as much time as C to finish a piece of work. Working finish a piece of work. Working together, they can finish the work together, they can finish the work in 2 days. B can do the work alone in 2 days. B can do the work alone in: in:

A.4 daysA.4 days B.6 daysB.6 days C.8 daysC.8 days D.12 daysD.12 days

1. A is thrice as good as workman 1. A is thrice as good as workman as B and therefore is able to finish a as B and therefore is able to finish a job in 60 days less than B. Working job in 60 days less than B. Working together, they can do it in:together, they can do it in:

A.A.20 days20 days B.B.221/2days221/2days C.C.25 days25 days D.D.30 days30 days