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- Question
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
- Correct Answer
- 20
- 1. 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
- 2. 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
- 3. 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
- 4. 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 Discuss
- 5. 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
- 6. 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
- 7. K can finish the work in 18 days and L can do the same work in 15 days. L worked for 10 days and left the job. In how many days, K alone can finish the remaining work ?
Options- A. 5.5 days
- B. 6 days
- C. 4.2 days
- D. 5 days Discuss
- 8. A constructor estimates that 4 people can paint Mr. Karthik's house in 6 days. If he uses 5 people instead of 4, how long will they take to complete the job ?
Options- A. 3 days
- B. 26/3 days
- C. 13/4 days
- D. 24/5 days Discuss
- 9. Two boys and a girl can do a work in 5 days, while a boy and 2 girls can do it in 6 days. If the boy is paid at the rate of 28$ a week, what should be the wages of the girl a week ?
Options- A. 24 $
- B. 22 $
- C. 16 $
- D. 14 $ Discuss
- 10. A can do a work in 9 days, B can do a work in 7 days, C can do a work in 5 days. A works on the first day, B works on the second day and C on the third day respectively that is they work on alternate days. When will they finish the work ?
Options- A. [7 + (215/345)] days
- B. [6 + (11/215)] days
- C. [6 + (261/315)] days
- D. [5 + (112/351)] days Discuss
Time and Work problems
Search Results
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: 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: 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
Explanation:
Let 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.
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: 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.
Correct Answer: 6 days
Explanation:
L's 10 days work =
Remaining work =
Now, work is done by K in one day = 1/18
1/3 work is done by K in = 6 days
Correct Answer: 24/5 days
Explanation:
we know that m1 x d1 = m2 x d2
=> 4 x 6 = 5 x d
where d = no. of days taken by 5 men to paint
d = 24/5 days.
Correct Answer: 16 $
Explanation:
Let the 1 day work of a boy=b and a girl=g, then
2b + g = 1/5 ---(i) and
b + 2g = 1/6 ---(ii)
On solving (i) & (ii), b=7/90, g=2/45
As payment of work will be in proportion to capacity of work and a boy is paid $ 28/week,
so a girl will be paid
= 16 $.
Correct Answer: [6 + (261/315)] days
Explanation:
After day 1, A finishes 1/9 of the work.
After day 2, B finishes 1/7 more of the total work. (1/9) + (1/7) is finished.
After day 3, C finishes 1/5 more of total work. Total finished is 143/315.
So, after day 6, total work finished is 286/315.
Now remaining work = 29 /315
On day 7, A will work again
Work will be completed on day 7 when A is working. He must finish 29/315 of total remaining work.
Since he takes 9 days to finish the total task, he will need 261/315 of the day.
Total days required is 6 + (261/315) days.
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