WORK AND TIME MANAGEMENT 1
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| WORK AND TIME MANAGEMENT 1 |
Important information:- In this chapter, we will study techniques to solve problems based on work and its completion time as well as number of persons required to finish the given work in stipulated time. Suppose that you are a contractor and you got a contract to construct a flyover in a certain time. For this, you need to calculate the number of men required to finish the work according to their work efficiency.
Important Relations:-
1. Work and Person Directly proportional (more work, more men and conversely more men, more work).
2. Time and Person Inversely proportional (more men, less time and conversely more time, less men). 3. Work and Time Directly proportional (more work, more time and conversely more time, more work).
## Note While solving these types of problems, the work done is always supposed to be equal to 1
Table of Contain:-
## 4 goats or 6 sheep's can graze a field in 50 days. 2 goats and 9 sheep's can graze the field in ?
## 15 men complete a work in 16 days. If 24 men are employed, then the time required to complete that work will be ?
## If 12 men or 18 women can do a piece of work in 14 days. How long will 8 men and 16 women take to finish the work?
## 3 men can do a piece of work in 6 days. 5 women can do the same work in 18 days If 4 men and 10 women work together, then how long will it take to finish the work?
1.20 men complete one-third of a work in 20 days. How many more men should be employed to finish the rest of work in 25 more days?
(a) 15
(b) 12
(c) 18
(d) 25
(e) None of the above
Answer :- (b) 12
2.15 men complete a work in 16 days. If 24 men are employed, then the time required to complete that work will be ?
(a) 7 days
(b) 8 days
(c) 10 days
(d) 12 days
(e) None of the above
Answer :- (c) 10 days
3. 20 workers working for 5 hour per day complete a work in 10 days. If 25 workers are employed to work
10 hour per day, what is the time required to complete the work? (a) 4 days (b) 5 days (c) 6 days (d) 8 days (e) None of the above Answer :- (a) 4 days 4. A certain number of men can do a piece of work in 80 days. If there were 10 men less, It could be
finished in 20 days more. How many men are there in the starting? (a) 45 (b) 50 (c) 40 (d) 60 (e) None of the above Answer :- (b) 50 5. A stock of food is enough for 240 men for 48 days. How long will the same stock last for 160 men? (a) 54 days (b) 60 days (c) 64 days (d) 72 days (e) None of the above Answer :- (d) 72 days 6. 45 people take 18 days to dig a pond. If the pond would have to be dug in 15 days, then the number of
people to be employed will be ? (a) 50 (b) 54 (c) 60 (d) 72 (e) None of the above Answer :- (b) 54 7. If 3 men or 4 women can build a wall in 43 days, in how many days can 7 men and 5 women build this
wall ? (a) 16 days (b) 25 days (c) 21 days (d) 12 days (e) None of the above Answer :- (d) 12 days 8. If 12 men or 18 women can do a piece of work in 14 days. How long will 8 men and 16 women take to
finish the work? (a) 9 days (b) 12 days (c) 13 days (d) 10 days (e) None of the above Answer :- (a) 9 days 9. In a school, Mid-Day Meal food is sufficient for 250 students for 33 days, if each student is given 125
g meals. 80 more students joined the school. If same amount of meal is given to each student, then the food
will last ? (a) 20 days (b) 40 days (c) 30 days (d) 25 days (e) None of the above Answer :- (d) 25 days 10. 90 men are engaged to do a piece of work in 40 days but it is found that in 25 days, 2/3 work is completed. How many men should be allowed to go off, so that the work may be finished in time? (a) 10 (b) 15 (c) 20 (d) 25 (e) None of the above Answer :- (b) 15 11. 36 workmen are employed to finish a certain work in 48 days. But it is found that in 24 days only 2/5
work is done. How many more men must be employed to finish the work in time? (a) 16 (b) 18 (c) 20 (d) 22 (e) None of the above Answer :- (b) 18 12. It is given that 16 men working 18 hour a day can build a wall 36 men long, 4 men broad and 24 men high in 20
days. How many men will be required to build a wall 64 men long, 6 men broad and 18 m high working 12 h a
day in 16 days? (a) 60 (b) 20 (c) 30 (d) 35 (e) None of the above Answer :- (a) 60 13. 3 men can do a piece of work in 6 days.
5 women can do the same work in 18 days. If 4 men and 10 women work together, then how long will it
take to finish the work? (a) 3 days (b) 5 days (c) 2 days (d) 4 days (e) None of the above Answer :- (a) 3 days 14. 3 men can do a piece of work in 18 days.
6 children can also do that work in 18 days. 4 men and 4 children together will finish the work in how
many days? (a) 10 (b) 6 (c) 12 (d) 9 (e) None of the above Answer :- (d) 9 15. A man can do a piece of work in 5 days. With the help of his friend, he can do the same work in 3 days.
In how many days can his friend complete the work? (a) 8 Days (b) 7 Days (c) 7.5 Days (d) 6.5 Days (e) None of the above Answer :- (c) 7.5 Days 16. P can do a piece of work in 12 days, while Q alone can finish it in 8 days. With the help of R, they can
finish the work in 4 days. How long will R take to finish the work alone? (a) 25 days (b) 34 days (c) 14 days (d) 24 days (e) None of the above Answer :- (d) 24 days 17. A alone can do a certain job in 15 days, while B alone can do it in 10 days. A started the work and was
joined by B after 5 days. The work lasted for how many days? (a) 4 (b) 8 (c) 5 (d) 9 (e) None of the above Answer :- (d) 9 18. A mason can build a tank in 12 hour . After working for 6 hour , he took the help of a boy and finished the
work in another 5 hour . The time that the boy will take alone to complete the work is ? (a) 30 h (b) 45 h (c) 60 h (d) 64 h (e) None of the above Answer :- (c) 60 h 19. A and B can do a job together in 12 days. A is 2 times as efficient as B. In how many days can B alone
complete the work? (a) 36 (b) 12 (c) 18 (d) 9 (e) None of the above Answer :- (a) 36 20. 16 children and 24 man complete a certain work in 18 days. If each child takes twice the time taken by
a man to finish the work, in how many days will 24 man finish the same work? (a) 12 days (b) 24 days (c) 36 days (d) 48 days (e) None of the above Answer :- (b) 24 days 21. A does 20% less work than B. If A can complete a piece of work in 7V hour , then B can do it in ? (a) 4 h (b) 6 h (c) 8 h (d) 10 h (e) None of the above Answer :- (b) 6 h 22. A takes twice as much time as B and C takes thrice as much time as B to finish a work. Working together, they can finish the work in 12 days. Find the number of days needed for A to do the work alone. (a) 20 (b) 22 (c) 33 (d) 44 (e) None of the above Answer :- (d) 44 23. A is thrice as good a workman as B and therefore is able to finish a job in 30 days less than B. How
many days will they take to finish the job working together? (a) 41 / 4 (b) 47/4 (c) 45/4 (d) 34/3 (e) None of the above Answer :- (c) 45/4 24. X can do a work in 16 days. In how many
days will the work be completed by Y, if
the efficiency of Y is 60% more than that
of-X? (a) 10 days (b) 12 days (c) 25 days (d) 30 days (e) None of the above Answer :- (a) 10 days 25. 10 men and 8 women together can complete a work in 5 days. Work done by one woman in a day is
equal to half the work done by a man in 1 day. How many days will it take for 4 men and 6 women to
complete that work? (a) 12 days (b) 10 days (c) 8 days (d) 4 days (e) None of the above Answer :- (b) 10 days 26. A takes twice the time taken by B and thrice the time taken by C to do a particular piece of work.
Working together, they can complete the work in 2 days. Find the number of days taken by A, B and C
respectively to complete the work alone. (a) 12, 6 and 4 (b) 18, 9 and 6 (c) 24, 12 and 8 (d) 6, 3 and 2 (e) None of the above Answer :- (a) 12, 6 and 4 27. X can do 20% of a work in a day, Y can do 25% of the same work in a day and X, Y and Z together can
do 50% of the same work in a day. How many per cent of work can be done by Z in a day? (a) 5% (b) 10% (c) 15% (d) 20% (e) 25% Answer :- (a) 5% 28. If one man or two women or three boys can finish a work in 88 days, then how many days will one
man, one woman and one boy together take to finish the same work? (a) 46 days (b) 54 days (c) 48 days (d) 44 days (e) 60 days Answer :- (c) 48 days 29. When A alone does a piece of work, he takes 25 days more than the time taken by (A + B) to complete
that particular work, while B alone takes 49 days more than the time taken by (A + B) to finish the same
work. A and B together will take what time to finish this work? (a) 35 days (b) 25 days (c) 15 days (d) 45 days (e) None of the above Answer :- (a) 35 days (a) X (b) Y (c) Z (d) Both X and Z (e) None of the above Answer :- (c) Z 31. 5 men start working to complete a work in 15 days. After 5 days, 10 women are
accompanied by them to complete the work in next 5 days. If the work is to be done by women only, when could the work be over, if 10 women have started it? (a) 10 days (b) 18 days (c) 15 days (d) 12 days (e) None of the above Answer :- (c) 15 days 32. 4 men or 6 women or 10 children can
paint a house in 5 days. The painting is
given to a couple and their 5 sons. They
finish the job in ? (a) 11/60 Days (b) 61/11 Days (c) 60/11 Days (d) 56/11 Days (e) None of the above Answer :- (c) 60/11 Days 33. 4 goats or 6 sheep's can graze a field in 50 days. 2 goats and 9 sheep's can graze the field in (a) 100 days (b) 75 days (c) 50 days (d) 25 days (e) None of the above Answer :- (d) 25 days 34. If 14 men and 12 boys can finish work in 4 days, while 8 men and 16 boys can finish the same work in
5 days. Compare the 1 day work of 1 men and 1 boy. (a) 2 (b) 1.5 (c) 3 (d) 1/2 (e) None of the above Answer :- (a) 2 35. If the work done by 8 men and 4 boys in 1 day is 7 times the work done by 1 men and 1 boy, then
compare the work done by 1 men and 1 boy in 1 day? (a) 1 (b) 2 (c) 3 (d) 1/2 (e) 5 Answer :- (c) 3
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