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- Question
- If 2 men or 3 women or 4 boys can do a piece of work in 52 days. Then the same piece of work will be done by 1 man, 1 woman and 1 boy in?
Options- A. 48 days
- B. 36 days
- C. 45 days
- D. none of these
- Correct Answer
- 48 days
ExplanationWork done by 2 men = 3 woman = 4 boys
? 1 man = 2 boys
1 woman = 4/3 boys
? boys X days = 4 X 52 (boys - days)
Again 1 man + 1 woman + 1 boy = 2 + 4/3 + 1 = 13/3 boys
B1 x D1 = B2 x D2 B = boys, D = days
4 X 52 = 13/3 x D2
D2 = 48 days - 1. The Ratio of efficiencies of A, B and C is 6 : 5 : 4 and if A, B and C received total Rs. 27000 for the whole work. What is the share of C, if the money is distributed in the ratio of amount of work done, individually?
Options- A. 2700
- B. 7200
- C. 14400
- D. 6300 Discuss
- 2. 314 weavers weaves 6594 shawls in 1/6 hours. What is the number of shawls weaved per hour by an average weaver?
Options- A. 42
- B. 21
- C. 102
- D. 126 Discuss
- 3. 2 men or 5 women or 7 boys can finish a work in 469 days, then the number of days taken by 7 men, 5 women and 2 boys to finish the work is :
Options- A. 134
- B. 106
- C. 100
- D. 98 Discuss
- 4. 6 children and 2 men complete a certain piece of work in 6 days. Each child takes twice the time taken by a man to finish the work. In how many days will 5 men finish the same work?
Options- A. 6
- B. 8
- C. 9
- D. 15 Discuss
- 5. 6 men or 10 women can reap a field in 15 days, then the number of days that 12 men and 5 women will take to reap the same field is :
Options- A. 5
- B. 6
- C. 8
- D. 12 Discuss
- 6. A contractor undertook a work to complete in 60 days. But just after 20 days he observed that only 1/5th of the project work had been completed. To complete the work in time (i.e,In rest days) minimum how many workers he had to increase, if there were initially 75 workers were deployed for the task?
Options- A. 25
- B. 50
- C. 75
- D. can't be determined Discuss
- 7. 20 persons completed 1/3rd of the work in 12 days. How many more person are required to finish the rest work in next 12 days?
Options- A. 20
- B. 12
- C. 18
- D. 40 Discuss
- 8. A and B can together do a piece of work in 15 days. B alone can do it 20 days. In how many days can A alone do it?
Options- A. 30 days
- B. 40 days
- C. 45 days
- D. 60 days Discuss
- 9. A and B can do a piece of work in 6 days and A alone can do it in 9 days. The time taken by B alone to do the same work is?
Options- A. 18 days
- B. 15 days
- C. 12 days
- D. 71/2 Discuss
- 10. A and B can do a piece of work in 18 days, B and C in 24 days, A and C in 36 days. In what time can they do it all working together?
Options- A. 12 days
- B. 13 days
- C. 16 days
- D. 26 days Discuss
Time and Work problems
Search Results
Correct Answer: 7200
Explanation:
Ratio of efficiencies of A,B and C = 6 : 5 : 4
? Share of C = [4/(6+5+4)] x 27000 = 7200
Correct Answer: 126
Explanation:
In 1 hour 314 weavers weave = 6594 x 6 shawls
In 1 hour 1 weaver weaves = ( 6594 x 6 ) / 314 shawls = 126 shawls
Correct Answer: 98
Explanation:
2 men = 7 boys
? 1 man = 7/2 days
5 women = 7 boys
? 1 women = 7/5 boys
7 men + 5 women + 2 boys = 7 x 7/2 + 5 x 7/5 + 2 = 67/2 boys
Now, B1 x D1 = B2 x D2
7 X 469 = 67/2 x D2
D2 = 98 days
Correct Answer: 6
Explanation:
6C + 2M = 6days
36C + 12M = 1 days
Again 1M = 2C
? 36+12X2 = 1 day
60 children can do the work in 1 day
Now, 5 men = 10 children
? 10 children can do the work in 6 days.
Correct Answer: 6
Explanation:
Work done by 6 men = work done by 10 women.
Work done by 1 man = work done by 10 / 6 = 5/3 women
? 12 men + 5 women = 12 x ( 5 / 3) + 5 = 25 women
? W1 x D 1 = W2 x D2 W = women, D=days
10 X 15 = 25 x D2
D2 = 6
Correct Answer: 75
Explanation:
Work done = 1/5
remaining work = 4/5
? 4 (20 x 75) = 40 x N
N = 150
Therefore 75 men should be increased.
Correct Answer: 20
Explanation:
Work done = 1/3
Remaining work = 2/3
So for double work in same days we need double number of people i.e. 40.
So, 20 men will be increased.
Correct Answer: 60 days
Explanation:
A's 1 day's work = (1/15 - 1/20) = 1/60
? A alone can finish it in 60 days.
Correct Answer: 18 days
Explanation:
B's one day's work = (1/6 - 1/9) = 1/18
? B alone can finish it in 18 days.
Correct Answer: 16 days
Explanation:
(A + B)'s 1 day's work = 1/18
(B + C)'s 1 day's work = 1/24
(A + C)'s 1 day's work = 1/36
Adding 2 (A + B + C)'s 1 day's work = (1/18 + 1/24 + 1/36) = 1/8
? (A + B + C)'s day's work = 1/16
Hence, all working together can finish it in 16 days.
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