Time and Work problems
- 1. 2 men or 3 women can complete a job in 96 days. Then 6 men and 7 women will complete the same job in how many days?
Options- A. 18
- B. 27
- C. 20
- D. 24 Also asked in: Bank Exams
Correct Answer: 18
- 2. Amar is 2 times as good a workman as Badal and therefore is able to finish a job in 15 days less than Badal. In how many days can they together complete the job?
Options- A. 30 days
- B. 40 days
- C. 10 days
- D. 20 days Also asked in: Bank Exams
Correct Answer: 10 days
- 3. A does 75% of a work in 25 days. He then calls in B and they together finish the remaining work in 5 days. How long B alone would take to do the whole work?
Options- A. 50 days
- B. 80 days
- C. 24 days
- D. 37.5 days Also asked in: Bank Exams
Correct Answer: 50 days
- 4. A & B together finish a job in 24 days, while A, B & C together can finish the same job in 8 days. C alone will finish the job in
Options- A. 12 days
- B. 14 days
- C. 16 days
- D. 24 days Also asked in: Bank Exams
Correct Answer: 12 days
- 5. 12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining work?
Options- A. 2
- B. 3
- C. 4
- D. 5 Also asked in: Bank Exams
Correct Answer: 2
- 6. A can do 75% of a job in 9 days and B can do half of the job in 8 days. If they work on it together, then in how many days can they do half of the job?
Options- A. 40/7
- B. 24/7
- C. 7/2
- D. 9/2 Also asked in: Bank Exams
Correct Answer: 24/7
- 7. A,B and C together can finish a task in 7.5 days. C is thrice as productive as A and B alone can do the task in 15 days. In how many days can A and C do the job if B goes on leave?
Options- A. 30
- B. 10
- C. 20
- D. 15 Also asked in: Bank Exams
Correct Answer: 15
- 8. A, B and C can do job in 9, 12 and 36 days respectively if they worked alone. A leaves after they have worked together for 3 days. In how many days can B and C do the rest of the job?
Options- A. 3
- B. 4
- C. 5
- D. 6 Also asked in: Bank Exams
Correct Answer: 3
- 9. If 6 engines consume 24 metric tonnes of coal, when each is working 8 hours day, how much coal will be required for 9 engines, each running 13hours a day, it being given that 2 engines of former type consume as much as 3 engines of latter type ?
Options- A. 45 metric tonnes
- B. 47 metric tonnes
- C. 55 metric tonnes
- D. 34 metric tonnes Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 45 metric tonnes
Explanation:
2 engines of former type for one hour consumes (2 x 24)/(6 x8) = 1 metric ton
i.e. 3 engines of latter type consumes 1 ton for one hour
Hence 9 engines consumes 3 tons for one hour
For 15 hours it is 15 x 3 = 45 metric tonnes.
- 10. A can do a piece of work in 21 days and B in 28 days. Together they started the work and B left after 4 days. In how many days can A alone do the remaining work ?
Options- A. 14 days
- B. 18 days
- C. 21 deays
- D. 16 days Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 14 days
Explanation:
Let A worked for x days.
x/21 + 4/28 = 1 => x = 18
A worked for 18 days. So, A can complete the remaining work in 18 - 4 = 14 days.
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