Quiz: Practice Problems on Work and Time (set 1)

This quiz consists of questions based on the concepts of work and time, as explained in the video on this page. It tests your understanding of these concepts. I have included a variety of questions in this quiz, designed primarily for middle and some high school students. However, others are also welcome to test their understanding of the topic by taking this quiz. Please attempt the quiz without relying on external resources. If your answers are incorrect, you can retake the quiz and try to get them all correct. If you notice any errors in the questions or answers, please feel free to leave a comment. Enjoy the quiz!

1. 
A can complete a task in 12 hours, while B can complete the same task in 18 hours. If they work together, how long will it take them to complete the task?

2. 
A tank is filled by Pipe A in 6 hours and by Pipe B in 8 hours. However, Pipe C can empty the tank in 12 hours. If all three pipes are open together, how long will it take to fill the tank?

3. 
C can complete a job in 20 hours. C starts the job and works for 5 hours. Then D, who can complete the job in 10 hours, joins and they work together. How long will it take to complete the remaining work?

4. 
Two workers A and B can complete a task in 15 days and 12 days respectively. However, A works for 5 days and then leaves. How many days will B take to complete the remaining work?

5. 
A, B, and C can complete a job in 12, 15, and 20 days respectively. How long will it take them to complete the job if they work together?

6. 
A can do a task in 16 days, and B can do the same task in 24 days. If they work together for 8 days, what fraction of the task remains?

7. 
A group of 4 people can complete a job in 8 days. If 2 more people join the group, how long will it take to complete the same job?

8. 
P can complete a task in 40 days, and Q can complete it in 50 days. They start working together, but after 10 days, Q leaves. How long will P take to finish the remaining task?

9. 
A tap can fill a tank in 6 hours, while a drain can empty it in 8 hours. If the tank is empty and both are opened together, how long will it take to fill the tank?

10. 
A can do a task in 12 days, and B can do the same in 16 days. They work together for 3 days. How much of the task is completed, and how much remains?

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