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- Question
A work which could be finished in 11 days was finished 4 days earlier after 4 more men joined. The number of men employed was ?
Options- A. 7
- B. 8
- C. 9
- D. 10
- Correct Answer
- 7
ExplanationAs the work is same
M1D1 = M2D2Here Let the number of men employed was M
=> 11M = 7(M+4)
=> 11M - 7M = 28
=> M = 7 - 1. A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in ?
Options- A. 3 hrs
- B. 6 hrs
- C. 7 hrs
- D. 5 hrs Discuss
- 2. A can complete a work in 12 days with a working of 8 hours per day. B can complete the same work in 8 days when working 10 hours a day. If A and B work together, working 8 hours a day, the work can be completed in --- days ?
Options- A. 51/24
- B. 87/5
- C. 57/12
- D. 60/11 Discuss
- 3. A can write 32 pages in 6 hours and B can write 40 pages in 5 hours. If they write together, in how many hours they can write 110 pages ?
Options- A. 7 hrs
- B. 6 hrs 10 min
- C. 5 hrs 25min
- D. 8 hrs 15 min Discuss
- 4. A shopkeeper has a job to print certain number of documents and there are three machines P, Q and R for this job. P can complete the job in 3 days, Q can complete the job in 4 days and R can complete the job in 6 days. How many days the shopkeeper will it take to complete the job if all the machines are used simultaneously ?
Options- A. 4/3 days
- B. 2 days
- C. 3/2 days
- D. 4 days Discuss
- 5. Ten women can do a work in six days. Six men can complete the same work in five days. What is the ratio between the capacity of a man and a woman?
Options- A. 1:2
- B. 2:1
- C. 2:3
- D. 3:2 Discuss
- 6. A laborer is engaged for 30 days on the condition that he receives Rs.25 for each day he works and is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent ?
Options- A. 10 days
- B. 14 days
- C. 11 days
- D. 9 days Discuss
- 7. Sixty men can stitch 150 shirts in 30 days working 8 hours a day. In how many days can 35 men stitch 200 shirts working 6 hours a day ?
Options- A. 87.5
- B. 89
- C. 91.5
- D. 93.5 Discuss
- 8. A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in ?
Options- A. 8 hrs
- B. 12 hrs
- C. 6 hrs
- D. 4 hrs Discuss
- 9. Two persons K and L can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days ?
Options- A. 1/6
- B. 1/3
- C. 2/3
- D. 1/18 Discuss
- 10. A and B together can do a piece of work in 9 days. If A does thrice the work of B in a given time, the time A alone will take to finish the work is
Options- A. 4 days
- B. 6 days
- C. 8 days
- D. 12 days Discuss
Time and Work problems
Search Results
Correct Answer: 6 hrs
Explanation:
Suppose A, B and C take x, x/2 and x/3 respectively to finish the work.
Then, (1/x + 2/x + 3/x) = 1/2
6/x = 1/2 => x = 12
So, B takes 6 hours to finish the work.
Correct Answer: 60/11
Explanation:
A can complete the work in 12 days working 8 hours a day
=> Number of hours A can complete the work = 12×8 = 96 hours
=> Work done by A in 1 hour = 1/96
B can complete the work in 8 days working 10 hours a day
=> Number of hours B can complete the work = 8×10 = 80 hours
=> Work done by B in 1 hour = 1/80
Work done by A and B in 1 hour = 1/96 + 1/80 = 11/480
=> A and B can complete the work in 480/11 hours
A and B works 8 hours a day.
Hence total days to complete the work with A and B working together
= (480/11)/ (8) = 60/11 days
Correct Answer: 8 hrs 15 min
Explanation:
A can write in 1hour = 32/6 pages
Similarly, B in 1 hour = 40/5 pages
Together (A+B) in 1 hour = 32/6 + 40/5 = 40/3
So, A+B write 40/3 pages in 1 hour
A+B write 110 pages in (3/40) x 110 Hours = 8 hours 15 min.
Correct Answer: 4/3 days
Explanation:
Let the total number of documents to be printed be 12.
The number of documents printed by P in 1 day = 4.
The number of documents printed by Q in 1 day = 3.
The number of documents printed by R in 1 day = 2.
Thus, the total number of documents that can be printed by all the machines working simultaneously in a single day = 9.
Therefore, the number of days taken to complete the whole work = 12/9 = 4/3 days.
Correct Answer: 2:1
Explanation:
(10 * 6) women can complete the work in 1 day.
Therefore, 1 woman's 1 day's work = 1/60
(6 * 5) men can complete the work in 1 day.
Therefore, 1 man's 1 day's work = 1/30
so, required ratio =1/30 : 1/60 = 2:1
Correct Answer: 10 days
Explanation:
For 30 days he receives
30 x 25 = 750
Actually he gets 425
Therefore, Fine is 750 - 425 = 325
=> No of days absent = 325/(25+7.50)= 10
Correct Answer: 91.5
Explanation:
We have M1 D1 H1 / W1 = M2 D2 H2 / W2 (Variation rule)
(60 x 30 x 8)/ 150 = (35 x D2 x 6) / 200
D2 = (60 x 30 x 8 x 200) / (150 x 35 x 6) => D2 = 91.42 days =~ 91.5 days.
Correct Answer: 6 hrs
Explanation:
Suppose A, B and C take x, x/2 and x/3 respectively to finish the work.
Then, (1/x + 2/x + 3/x) = 1/2
=> 6/x = 1/2 => x = 12
So, B takes 6 hours to finish the work.
Correct Answer: 1/6
Explanation:
K's one day's work = 1/30
L's one day's work = 1/45
(K + L)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 3 days = 3 (1/18) = 1/6.
Correct Answer: 12 days
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