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- Question
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
- Correct Answer
- 91.5
ExplanationWe 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. - 1. 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
- 2. 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 Discuss
- 3. 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
- 4. 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
- 5. 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
- 6. 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
- 7. 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
- 8. 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
- 9. Ram and Shyam undertook a work for Rs 5600. Ram alone can do the work in 5 days and Shyam alone can do the work in 9 days. If they worktogether, then what will be the difference (in Rs.) in the amount they receive?
Options- A. 1800
- B. 2400
- C. 1600
- D. 2200 Discuss
- 10. Raman can do a work in 5 days, Jatin can do the same work in 7 days and Sachin can do the same work in 9 days. If they do the same work together and they are paid Rs 2860, then what is the share (in Rs) of Raman?
Options- A. 1260
- B. 700
- C. 900
- D. 870 Discuss
Time and Work problems
Search Results
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: 7
Explanation:
As the work is same
M1D1 = M2D2
Here Let the number of men employed was M
=> 11M = 7(M+4)
=> 11M - 7M = 28
=> M = 7
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: 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
Correct Answer: 1600
Correct Answer: 1260
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