Time and Work
Class 8
TEST - 1
Instructions:
- Each correct answer carries the specified marks.
- No negative marking.
- Show all workings clearly.
Section A: Multiple Choice Questions (10 marks)
1. If 4 men can complete a piece of work in 6 days, how many days will it take for 6 men to complete the same work?
- A) 3
- B) 4
- C) 5
- D) 8
2. A contractor undertakes to complete a project in 45 days with 20 workers. After 30 days, he finds that only 2/3rd of the work is done. How many more workers should he employ to complete the work on time?
- A) 10
- B) 15
- C) 20
- D) 25
3. If 5 men or 8 women can do a piece of work in 12 days, how long will 3 men and 6 women take to do the same work?
- A) 8
- B) 9
- C) 10
- D) 12
4. A machine can fill a tank in 12 hours. After 4 hours of filling, an additional machine is used, and the tank is filled in 8 hours. How long would it take for the additional machine to fill the tank alone?
- A) 18
- B) 20
- C) 24
- D) 30
5. If 9 men can complete a work in 12 days, how many days will 6 men and 3 women take to complete the same work, if 3 women can complete the work in 18 days?
- A) 8
- B) 9
- C) 10
- D) 12
6. A and B together can complete a work in 20 days. They worked together for 15 days, and then A left. B finished the remaining work in 8 more days. In how many days A alone can complete the work?
- A) 30
- B) 35
- C) 40
- D) 45
7. Two taps A and B can fill a tank in 8 and 10 hours respectively. If both the taps are opened together, how long will it take to fill the tank?
- A) 4.8
- B) 5.6
- C) 6.4
- D) 7.2
8. A can do a piece of work in 15 days and B can do it in 20 days. They work together for 6 days and then A leaves. In how many more days will B finish the remaining work?
- A) 3
- B) 4
- C) 5
- D) 6
9. If 10 men can build a wall in 12 days, how many days will it take for 8 men to build the same wall, assuming they work at the same rate?
- A) 14
- B) 15
- C) 16
- D) 18
10. A can do a work in 20 days and B can do it in 25 days. They started working together but after 5 days, A leaves. In how many more days will B finish the remaining work?
- A) 6
- B) 7
- C) 8
- D) 9
Section B: Short Answer Questions (10 marks)
1. If 15 men can do a piece of work in 10 days, how many men are required to complete the same work in 6 days?
2. A contractor employs 16 men to do a work in 15 days. After working for 5 days, he finds that only 2/3rd of the work is done. How many more men should he employ to complete the work on time?
3. A and B can complete a work in 12days , B and C can complete the same work in 15 days. If A, B, and C work together, how long will they take to complete the work?
4. A can complete a work in 30 days and B can complete the same work in 45 days. If they work together for 6 days and then B leaves, in how many more days will A complete the remaining work?
5. A tank can be filled by tap A alone in 8 hours and by tap B alone in 6 hours. How long will it take to fill the tank if both taps are opened together?
Section C: Word Problems (20 marks)
1. Raj can build a wall in 12 days while Sam can build the same wall in 16 days. They start working together but after 4 days, Raj leaves. In how many more days will Sam complete the remaining work?
2. A group of 24 workers can complete a construction project in 30 days. After 10 days, they are joined by another group of 18 workers. How many more days are required to complete the remaining work?
3. A pipe can fill a tank in 8 hours, while another pipe can empty the same tank in 12 hours. If both pipes are opened together, how long will it take to fill the tank?
4. David can paint a house in 20 days while John can paint the same house in 25 days. They start working together but after 5 days, David leaves. In how many more days will John complete the remaining work?
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