Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 165 · 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.Aditya and Isha together finish a job in 14 days. Aditya alone takes 28 days. How many days would Isha take alone?
2. 2.Rohan works twice as fast as Ishaan. Together they finish a job in 3 days. How many days would Ishaan take alone?
3. 3.Dev can finish a job in 16 days and Vivaan in 5 days. What fraction of the job do they finish if they work together for 2 days? =
4. 4.Kavya and Rohan together finish a job in 2 days. Kavya alone takes 4 days. How many days would Rohan take alone?
5. 5.Manav can finish a job in 19 days and Rohan in 6 days. What fraction of the job do they finish if they work together for 3 days? =
6. 6.Aarav can finish a job in 16 days and Saanvi in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
7. 7.Nisha and Diya together finish a job in 4 days. Nisha alone takes 12 days. How many days would Diya take alone?
8. 8.Meera can finish a job in 5 days and Arjun in 25 days. Meera works alone for 1 day and then stops. Arjun finishes the rest. How many days does Arjun take?
9. 9.Nisha works three times as fast as Rohan. Together they finish a job in 3 days. How many days would Rohan take alone?
10. 10.Tara can finish a job in 11 days and Kabir in 9 days. What fraction of the job do they finish if they work together for 1 day? =
11. 11.Dev can finish a job in 19 days and Rohan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
12. 12.Priya and Arjun together finish a job in 10 days. Priya alone takes 14 days. How many days would Arjun take alone?
13. 13.Ananya and Kavya together finish a job in 12 days. Ananya alone takes 28 days. How many days would Kavya take alone?
14. 14.Aarav can finish a job in 6 days and Diya in 18 days. Aarav works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
15. 15.Tara can finish a job in 13 days and Aarav in 10 days. What fraction of the job do they finish if they work together for 1 day? =
16. 16.Ananya works twice as fast as Kavya. Together they finish a job in 10 days. How many days would Kavya take alone?
17. 17.Kavya and Dev together finish a job in 4 days. Kavya alone takes 5 days. How many days would Dev take alone?
18. 18.Rahul and Kabir together finish a job in 4 days. Rahul alone takes 6 days. How many days would Kabir take alone?
19. 19.Diya can finish a job in 10 days and Sneha in 6 days. Diya works alone for 5 days and then stops. Sneha finishes the rest. How many days does Sneha take?
20. 20.Pooja works three times as fast as Arjun. Together they finish a job in 2 days. How many days would Arjun take alone?
21. 21.Isha can finish a job in 7 days and Rohan in 5 days. What fraction of the job do they finish if they work together for 1 day? =
22. 22.Priya can finish a job in 20 days and Saanvi in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
23. 23.Kavya can finish a job in 20 days and Diya in 4 days. Kavya works alone for 10 days and then stops. Diya finishes the rest. How many days does Diya take?
24. 24.Tara can finish a job in 6 days and Vivaan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
25. 25.Aarav and Vivaan together finish a job in 21 days. Aarav alone takes 28 days. How many days would Vivaan take alone?
26. 26.Ananya can finish a job in 17 days and Aarav in 4 days. What fraction of the job do they finish if they work together for 3 days? =
27. 27.Ananya and Kabir together finish a job in 12 days. Ananya alone takes 14 days. How many days would Kabir take alone?
28. 28.Ananya can finish a job in 14 days and Zoya in 12 days. What fraction of the job do they finish if they work together for 2 days? =
29. 29.Isha can finish a job in 6 days and Rahul in 8 days. Isha works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
30. 30.Vivaan and Aditya together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Aditya take alone?
31. 31.Aarav can finish a job in 8 days and Dev in 24 days. Aarav works alone for 1 day and then stops. Dev finishes the rest. How many days does Dev take?
32. 32.Kabir and Vivaan together finish a job in 5 days. Kabir alone takes 10 days. How many days would Vivaan take alone?
33. 33.Pooja can finish a job in 15 days and Nisha in 20 days. Pooja works alone for 6 days and then stops. Nisha finishes the rest. How many days does Nisha take?
34. 34.Meera can finish a job in 11 days and Saanvi in 22 days. Meera works alone for 5 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
35. 35.Kabir can finish a job in 11 days and Priya in 22 days. Kabir works alone for 9 days and then stops. Priya finishes the rest. How many days does Priya take?
36. 36.Saanvi can finish a job in 22 days and Aarav in 4 days. Saanvi works alone for 11 days and then stops. Aarav finishes the rest. How many days does Aarav take?
37. 37.Tara and Vivaan together finish a job in 15 days. Tara alone takes 20 days. How many days would Vivaan take alone?
38. 38.Sneha and Saanvi together finish a job in 10 days. Sneha alone takes 12 days. How many days would Saanvi take alone?
39. 39.Rohan can finish a job in 8 days and Arjun in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
40. 40.Pooja can finish a job in 8 days and Ananya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

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