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- Question
5 men and 3 boys can together cultivate a 23 acre field in 4 days and 3 men and 2 boys together can cultivate a 7 acre field in 2 days. How many boys will be needed together with 7 men, if they cultivate 45 acre of field in 6 days.
Options- A. 6
- B. 4
- C. 2
- D. 3
- Correct Answer
- 2
ExplanationLet work done by 1 man in i day be m
and Let work done by 1 boy in 1 day be b
From the given data,
4(5m + 3b) = 23
20m + 12b = 23....(1)
2(3m + 2b) = 7
6m + 4b = 7 ....(2)
By solving (1) & (2), we get
m = 1, b = 1/4
Let the number of required boys = n
6(7 1 + n x 1/4) = 45
=> n = 2.
- 1. Mr. stenley employed a certain number of typist for his project. 8 days later 20% of the typist left the job and it was found that it took as much time to complete the rest work from then as the entire work needed with all the employed typists. The average speed of a typist is 20 pages/hour. Minimum how many typist could be employed?
Options- A. 10
- B. 5
- C. 15
- D. 4 Discuss
- 2. A town having teenagers(boys & girls) of 5000 requires 150 litre of water per head. It has a tank measuring 20 m × 15 m × 5 m. The water of this tank will sufficient for ____ days.
Options- A. 8
- B. 6
- C. 4
- D. 2 Discuss
- 3. The ratio of efficiencies of P, Q and R is 2 : 3 : 4. While P and R work on alternate days and Q work for all days. Now the work completed in total 10 days and the total amount they get is Rs. 1200. Find the amount of each person(respectively).
Options- A. 200, 600, 400
- B. 400, 600, 200
- C. 600, 200, 400
- D. 400, 200, 600 Discuss
- 4. Sharan and Mayukh, working together, can complete a task in 18 days. However, Mayukh works alone and leaves after completing 1/3 of the task. Then, Sharan takes over and completees the remaining work by himself. As a result, the duo could complete the task in 40 days. How many days would Sharan alone have taken to do the job if Mayuk' had worked faster than Sharan ?
Options- A. 24
- B. 45
- C. 72
- D. 30 Discuss
- 5. Lasya alone can do a work in 16 days. Srimukhi?s efficiency is 20 % lesser than that of Laya. If Rashmi and Srimukhi together can do the same work in 12 days, then find the efficiency ratio of Rashmi to that of Lasya?
Options- A. 19 : 7
- B. 30 : 19
- C. 8 : 15
- D. 31 : 17 Discuss
- 6. Raghu can complete a work in 12days working 9 hours a day. Arun can complete the same work in 8 days working 11 hours a day. If both Raghu and Arun work together, working 12 hours a day, in how many days can they complete the work ? A) 3449 days B) 12449 days C) 4349 days D) 41249 days
Options- A. Option A
- B. Option B
- C. Option C
- D. Option D Discuss
- 7. Prabhas is twice as good a workman as Rana and finishes a piece of work in 3 hours. In how many hours they together could finish that piece of work?
Options- A. 3 hrs
- B. 3.5 hrs
- C. 2.5 hrs
- D. 2 hrs Discuss
- 8. Aadi can do a piece of work in 12 days alone, Bunny can do the same work in 16 days alone. After Aadi has been working for 5 days and Bunny for 7 days, Charan finishes it in 14 days. In how many days will Charan alone be able to do the work?
Options- A. 96 days
- B. 48 days
- C. 24 days
- D. 12 days Discuss
- 9. A and B have to type a book together containing 120 pages. A takes 9 hrs to type 36 pages and B takes 5 hrs to type 40 pages. A typed first 60 pages alone and the last 60 pages were typed by A and B together. How much time (in hours) will be taken to type the complete book?
Options- A. 24
- B. 20
- C. 12
- D. 15 Discuss
- 10. At Arihant Prakasham every book goes hrough 3 phases (or stages) typing, composing and binding. There are 16 typists, 10 composers and 15 binders. A typist can type 8 books in each hour, a composer can compose 12 books in each hour and a binder can bind 12 books in each hour. All of the people at Arihant Prakasham works for 10 hours a day and each person is trained to do only the ob of 1 category.How many books can be prepared in each day?
Options- A. 1500
- B. 1200
- C. 1440
- D. 1380 Discuss
Time and Work problems
Search Results
Correct Answer: 5
Explanation:
Since 20% i.e 1/5 typists left the job. So, there can be any value which is multiple of 5 i.e, whose 20% is always an integer. Hence, 5 is the least possible value.
Correct Answer: 2
Explanation:
Total Water reqduired = 5000 × 150 lit = 750,000 litres = 750 cu.m.
Volume of tank = 20 × 15 × 5 = 1500 Cu.m.
Number of days required =1500/750 = 2 days.
Correct Answer: 200, 600, 400
Explanation:
Ratio of efficiencies of P, Q and R = 2 : 3 : 4
From the given data,
Number of working days of P, Q, R = 5 : 10 : 5
Hence, ratio of amount of p, Q, R = 2x5 : 3x10 : 4x5 = 10 : 30 : 20
Amounts of P, Q, R = 200, 600 and 400.
Correct Answer: 45
Correct Answer: 8 : 15
Explanation:
Given Lasya can do a work in 16 days.
Time taken by Rashmi = n days
=> (12 x 20)/(20 - 12) = (12 x 20)/n
=> n= 30 days.
Required ratio of efficiencies of Rashmi and Lasya = 1/30 :: 1/16 = 8 : 15.
Correct Answer: Option C
Explanation:
Raghu can complete the work in (12 x 9)hrs = 108 hrs.
Arun can complete the work in (8 x 11)hrs = 88 hrs.
Raghu's 1 hrs work = 1/108 and Arun's 1 hrs work = 1/88
(Raghu + Arun)'s 1 hrs work =
So, both Raghu and Arun will finish the work in
Number of days of 12 hours each= =
Correct Answer: 2 hrs
Explanation:
Given Prabhas is twice as good a workman as Rana.
Prabhas finishes the work in 3 hrs
=> Rana finishes the work in 6 hrs.
Number of hours required together they could finish the work
= 3 x 6 / 3 + 6
= 18/9
= 2 hrs.
Correct Answer: 96 days
Explanation:
Let number of days Charan can do the same work alone is 'd' days.
According to the given data,
Therefore, Charan alone can complete the work in 96 days.
Correct Answer: 20
Correct Answer: 1200
Explanation:
T C B
16 10 15
8 12 12
128 120 180 <------- in one hour
1280 1200 1800 <------- in 10 hours
Since, restriction is imposed by composers i.e,since only 1200 books can be composed i 10 hours so not more than 1200 books can be finally pepared.
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