Time and Work problems
- 1. Ranjith can complete a task in 25 days while Anji can finish it in 20 days. They work together on the task for 5 days and then Ranjith leaves. In how many days will Anji finish the remaining work?
Options- A. 15 days
- B. 10 days
- C. 11 days
- D. 9 days Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 11 days
Explanation:
Lcm of 25 and 20 is 100. So total work = 100 units
Ranjith can do 4 units per day while anju can do 5 units per day
They together complete 5 days of work i.e 9 x 5 = 45 units
The remaining 55 units of work is done by anju in 55/5 days (or) 11 days
- 2. Ganesh, Ram and Sohan together can complete a work in 16 days. If Ganesh and Ram together can complete the same work in 24 days. The number of days Sohan alone takes, to finish the work is
Options- A. 40
- B. 48
- C. 32
- D. 30 Also asked in: Bank Exams
Correct Answer: 48
- 3. Nirmit can do 2/3 of a job in 18 days. Kashish is twice as efficient as Nirmit. In how many days Kashish will complete the job?
Options- A. 29/4
- B. 27/2
- C. 31/2
- D. 13/2 Also asked in: Bank Exams
Correct Answer: 27/2
- 4. Mr. Raghav taught Geometry for 36 hours. If the time taken in teaching Ratio consitutes one-fourth of the time for Arithmetic, then for how much time (in hours) did he taught the topic of Ratio?
Options- A. 46
- B. 51.75
- C. 69
- D. 103.5 Also asked in: Bank Exams
Correct Answer: 69
- 5. Sandy and Mandy do (8/13)th part of a work and the rest of the work was completed by Andy. If Sandy, Mandy and Andy take the same work for Rs. 2600, then what is the share (in Rs) of Andy?
Options- A. 1600
- B. 1400
- C. 800
- D. 1000 Also asked in: Bank Exams
Correct Answer: 1000
- 6. 3 men or 4 women can complete a job in 120 days. 12 men and 16 women will complete the same job in how many days?
Options- A. 12
- B. 14
- C. 15
- D. 18 Also asked in: Bank Exams
Correct Answer: 15
- 7. A can do a piece of work in 6 days working 8 hours a day while B can do the same work in 4 days working 10 hours a day. If the work has to be completed in 5 days, so how many hours do they need to work together in a day?
Options- A. 59/11
- B. 48/11
- C. 70/11
- D. 65/11 Also asked in: Bank Exams
Correct Answer: 48/11
- 8. A and B do (3/5) th part of a work and the rest of the work is completed by C. If A, B and C take the same work for Rs 5000, then what is the share of C (in Rs)?
Options- A. 3000
- B. 2500
- C. 2000
- D. 1500 Also asked in: Bank Exams
Correct Answer: 2000
- 9. Tushar takes 6 hours to complete a piece of work, while Amar completes the same work in 10 hours. If both of them work together, then what is the time required to complete the work?
Options- A. 3 hours
- B. 3 hours 15 minutes
- C. 3 hours 30 minutes
- D. 3 hours 45 minutes Also asked in: Bank Exams
Correct Answer: 3 hours 45 minutes
Explanation:
Let them take x hours working together
1/x = 1/10 + 1/6 = 8/30
X= 30/8 hours = 15/4 hours = 3 hours 45 minutes
- 10. A can make a cupboard in 10 days and B can do it in 50 days. Along with C, they did the job in 6.25 days only. Then in how many days C alone can do the job?
Options- A. 20
- B. 25
- C. 16
- D. 15 Also asked in: Bank Exams
Correct Answer: 25
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