Topic: Time and Work
Important facts:
(a) If A can do a piece of work in n days, then A’s 1 day's work = 1/n
(b) If A’s 1 day’s work = 1/n, then A can finish the work in n days.
(c) If A is thrice as good a workman as B, then:
Ratio of work done by A and B = 3:1
Ratio of times taken by A and B to finish a work= 1:3
Where M= Men or women or Children
D= Days
H= hours
R= Rupees
W= work
Questions:
1. Twenty men can do a work in 16 days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of man and woman?
(a) 3:4 (b) 4:3
(c) 5:3 (d) Data inadequate
2. 10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed?
(a) 6 (b) 6 1/3
(c) 6 2/3 (d) 7 2/3
3. Seven men can complete a piece of work in 12 days. They started the work and after 5 days, two men left. In how many days will the work be completed by the remaining men?
(a) 5 (b) 6
(c) 7 (d) 8
(e) None of these
4. 12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining work?
(a) 2 days (b) 3 days
(c) 4 days (d) 5 days
(e) None of these
5. Three men, four women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days?
(a) 7 (b) 8
(c) 12 (d) cannot be determined
(e) None of these
6. A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in ¼ of day?
(a) 1 (b) 4
(c) 19 (d) 41
7. 10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
(a) 90 (b) 125
(c) 145 (d) 150
(e) None of these
8. 12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in 3 days?
(a) 15 (b) 18
(c) 22 (d) Data inadequate
(e) None of these
9. 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
(a) 3 (b) 5
(c) 7 (d) cannot be determined
(e) None of these
10. 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
(a) 35 (b) 40
(c) 45 (d) 50
Answers:
1 | b | 6 | d |
2 | c | 7 | e |
3 | e | 8 | a |
4 | a | 9 | c |
5 | a | 10 | b |
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