Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 334 · 40 questions

The method (LCM units): Take the whole job as the LCM of the days. Units a day for each person = job ÷ their days. Add for working together. Days = job ÷ units a day. The answer can be a fraction like 20/9 days. Someone works a few days and stops: find what is left, then share it out.

1. 1.Zoya can finish a job in 4 days and Kabir in 14 days. Zoya works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
2. 2.Farhan and Pooja together finish a job in 8 days. Farhan alone takes 9 days. How many days would Pooja take alone?
3. 3.Zoya can finish a job in 12 days and Manav in 4 days. What fraction of the job do they finish if they work together for 1 day? =
4. 4.Dev can finish a job in 6 days and Aarav in 9 days. What fraction of the job do they finish if they work together for 2 days? =
5. 5.Diya and Rahul together finish a job in 15 days. Diya alone takes 30 days. How many days would Rahul take alone?
6. 6.Aarav can finish a job in 16 days and Diya in 24 days. Aarav works alone for 14 days and then stops. Diya finishes the rest. How many days does Diya take?
7. 7.Tara can finish a job in 15 days and Meera in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
8. 8.Saanvi can finish a job in 5 days and Kavya in 15 days. Saanvi works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?
9. 9.Diya and Karan together finish a job in 3 days. Diya alone takes 4 days. How many days would Karan take alone?
10. 10.Kavya works twice as fast as Arjun. Together they finish a job in 5 days. How many days would Arjun take alone?
11. 11.Nisha and Pooja together finish a job in 7 days. Nisha alone takes 8 days. How many days would Pooja take alone?
12. 12.Farhan can finish a job in 9 days and Nisha in 18 days. Farhan works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
13. 13.Aarav can finish a job in 5 days and Zoya in 20 days. What fraction of the job do they finish if they work together for 1 day? =
14. 14.Saanvi can finish a job in 8 days and Arjun in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
15. 15.Ananya works three times as fast as Nisha. Together they finish a job in 2 days. How many days would Nisha take alone?
16. 16.Vivaan can finish a job in 22 days and Sneha in 11 days. Vivaan works alone for 4 days and then stops. Sneha finishes the rest. How many days does Sneha take?
17. 17.Zoya works twice as fast as Kabir. Together they finish a job in 10 days. How many days would Kabir take alone?
18. 18.Ananya and Zoya together finish a job in 2 days. Ananya alone takes 6 days. How many days would Zoya take alone?
19. 19.Aditya and Vivaan together finish a job in 9 days. Aditya alone takes 12 days. How many days would Vivaan take alone?
20. 20.Manav can finish a job in 12 days and Aditya in 18 days. What fraction of the job do they finish if they work together for 2 days? =
21. 21.Pooja works three times as fast as Vivaan. Together they finish a job in 2 days. How many days would Vivaan take alone?
22. 22.Karan works twice as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
23. 23.Kabir works three times as fast as Priya. Together they finish a job in 4 days. How many days would Priya take alone?
24. 24.Aarav can finish a job in 12 days and Diya in 30 days. Aarav works alone for 6 days and then stops. Diya finishes the rest. How many days does Diya take?
25. 25.Karan works three times as fast as Rahul. Together they finish a job in 11 days. How many days would Rahul take alone?
26. 26.Kavya can finish a job in 13 days and Diya in 5 days. What fraction of the job do they finish if they work together for 3 days? =
27. 27.Aarav can finish a job in 5 days and Arjun in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
28. 28.Saanvi can finish a job in 7 days and Manav in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
29. 29.Vivaan can finish a job in 19 days and Sneha in 4 days. What fraction of the job do they finish if they work together for 2 days? =
30. 30.Isha works three times as fast as Rohan. Together they finish a job in 4 days. How many days would Rohan take alone?
31. 31.Aarav can finish a job in 20 days and Farhan in 10 days. What fraction of the job do they finish if they work together for 1 day? =
32. 32.Vivaan can finish a job in 20 days and Ananya in 4 days. What fraction of the job do they finish if they work together for 1 day? =
33. 33.Aarav works twice as fast as Rahul. Together they finish a job in 6 days. How many days would Rahul take alone?
34. 34.Meera can finish a job in 6 days and Kabir in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
35. 35.Rohan can finish a job in 12 days and Meera in 28 days. Rohan works alone for 6 days and then stops. Meera finishes the rest. How many days does Meera take?
36. 36.Rohan can finish a job in 13 days and Aarav in 8 days. What fraction of the job do they finish if they work together for 2 days? =
37. 37.Karan can finish a job in 7 days and Pooja in 28 days. Karan works alone for 1 day and then stops. Pooja finishes the rest. How many days does Pooja take?
38. 38.Vivaan and Arjun together finish a job in 3 days. Vivaan alone takes 4 days. How many days would Arjun take alone?
39. 39.Ananya and Ishaan together finish a job in 9 days. Ananya alone takes 10 days. How many days would Ishaan take alone?
40. 40.Ananya can finish a job in 13 days and Karan in 12 days. What fraction of the job do they finish if they work together for 2 days? =

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