CUET Commerce Exam > CUET Commerce Notes > General Test Preparation for CUET UG > Practice Questions: Time & Work
Practice Questions: Time & Work | General Test Preparation for CUET UG - CUET Commerce PDF Download
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A) 6 days
B) 9 days
C) 12 days
D) 8 days
Answer: A) 6 days
Explanation:
- B alone takes 18 days, so B’s efficiency = 1/18
- A is twice as efficient as B, so A’s efficiency = 2/18 = 1/9
- Combined efficiency of A and B = (1/9) + (1/18) = (2+1)/18 = 1/6
- Hence, A and B together complete the work in 6 days.
A) 12 hours
B) 18 hours
C) 15 hours
D) 9 hours
Answer: C) 18 hours
Explanation:
- In 1 hour, filling pipe fills 1/6 of the tank.
- In 1 hour, emptying pipe drains 1/9 of the tank.
- Net work done in 1 hour = (1/6 - 1/9) = (3-2)/18 = 1/18.
- So, the tank will be filled in 18 hours.
A) 40 days
B) 50 days
C) 60 days
D) 30 days
Answer: C) 60 days
Explanation:
- A’s efficiency = 1/20, B’s efficiency = 1/30, (A+B+C)’s efficiency = 1/10
- C’s efficiency = (1/10 - 1/20 - 1/30) = (6-3-2)/60 = 1/60
- So, C alone takes 60 days.
A) ₹1600
B) ₹2400
C) ₹1800
D) ₹2000
Answer: B) ₹2400
Explanation:
- A’s efficiency = 1/12, B’s efficiency = 1/8
- Total efficiency = (1/12 + 1/8) = (2+3)/24 = 5/24
- A’s share = (1/12) / (5/24) × 3600 = (1/12 × 24/5) × 3600 = 1200
- B’s share = ₹3600 - ₹1200 = ₹2400.
A) 48 days
B) 40 days
C) 36 days
D) 30 days
Answer: A) 48 days
Explanation:
- (A+B)’s efficiency = 1/16, A’s efficiency = 1/24
- B’s efficiency = (1/16 - 1/24) = (3-2)/48 = 1/48
- B alone will take 48 days.
A) 18
B) 20
C) 16
D) 22
Answer: A) 18
Explanation:
- Work = Men × Days, so 12 × 15 = x × 10
- x = (12 × 15) / 10 = 18 men.
A) 18 days
B) 36 days
C) 20 days
D) 16 days
Answer: B) 36 days
Explanation:
- A’s efficiency = 1/12
- Work done in 4 days = 4 × (1/12) = 1/3
- Remaining work = 2/3, completed in 6 more days
- (A+B)’s efficiency = (2/3) / 6 = 1/9
- B’s efficiency = 1/9 - 1/12 = 1/36
- B alone takes 36 days.
A) 16 days
B) 18 days
C) 20 days
D) 24 days
Answer: B) 18 days
Explanation:
- 2/3rd of work is done in 12 days
- Full work = 12 × (3/2) = 18 days.
A) 20 minutes
B) 30 minutes
C) 40 minutes
D) 45 minutes
Answer: C) 40 minutes
Explanation:
- Distance = Speed × Time = 40 × 4 = 160 km
- New time = 160/50 = 3.2 hours = 3 hours 12 minutes
- Time saved = 48 minutes = 40 minutes.
A) 12 days
B) 10 days
C) 9 days
D) 11 days
Answer: D) 11 days
Explanation:
- A’s efficiency = 1/10, B’s efficiency = 1/15
- In 2 days, work done = (1/10 + 1/15) = (3+2)/30 = 1/6
- In 10 days, work done = 10/12 = 5/6
- 11th day, A works and completes the work.
A) 15 days
B) 12 days
C) 10 days
D) 18 days
Answer: A) 15 days
Explanation:
- 6M = 10W → 1M = 5/3 W
- Work in one day by 6M or 10W = 1/20
- Work by (4M + 6W) = (4 × 5/3 + 6)/10 × (1/20)
- Days required = 15 days.
A) 20 hours
B) 30 hours
C) 30 hours
D) 24 hours
Answer: C) 30 hours
Explanation:
- Rate = 300/5 = 60 units per hour
- Time = 1800/60 = 30 hours.
The document Practice Questions: Time & Work | General Test Preparation for CUET UG - CUET Commerce is a part of the CUET Commerce Course General Test Preparation for CUET UG.
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FAQs on Practice Questions: Time & Work - General Test Preparation for CUET UG - CUET Commerce
| 1. What is the formula to calculate work done in terms of time and efficiency? |  |
Ans. The formula to calculate work done is Work = Efficiency × Time. This means if you know the efficiency of a worker (or a machine) and the time taken to complete a task, you can easily determine the amount of work done.
| 2. How do you find the combined work rate of two or more workers? | |
Ans. To find the combined work rate of two or more workers, you simply add their individual work rates together. For example, if Worker A can complete a task in 4 hours (work rate = 1/4 of the task per hour) and Worker B can complete it in 6 hours (work rate = 1/6 of the task per hour), their combined work rate would be 1/4 + 1/6 = 5/12 of the task per hour.
| 3. What is the concept of 'man-hours' in time and work problems? | |
Ans. Man-hours refer to the total amount of work done by a worker in one hour. It is calculated by multiplying the number of workers by the time they work. For example, if 3 workers work for 2 hours, they complete 6 man-hours of work.
| 4. How can you determine the time taken by a group of workers to complete a task if one worker's time is known? | |
Ans. If you know the time taken by one worker to complete a task alone, you can use the formula T = (1 / (1/A + 1/B + ... + 1/N)) where A, B, ..., N are the individual times taken by each worker. This will give you the combined time for the group to complete the task.
| 5. What are some common mistakes to avoid in time and work problems? | |
Ans. Common mistakes include forgetting to convert units (like hours to minutes), not considering the combined work rates correctly, and failing to account for the fact that work done is additive. It's also important to check calculations carefully to avoid simple arithmetic errors.
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