Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 327 · 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.Rohan can finish a job in 4 days and Priya in 8 days. Rohan works alone for 3 days and then stops. Priya finishes the rest. How many days does Priya take?
2. 2.Priya and Karan together finish a job in 12 days. Priya alone takes 15 days. How many days would Karan take alone?
3. 3.Aditya can finish a job in 18 days and Saanvi in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
4. 4.Kabir can finish a job in 6 days and Manav in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
5. 5.Karan can finish a job in 8 days and Dev in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
6. 6.Aditya can finish a job in 12 days and Tara in 30 days. Aditya works alone for 6 days and then stops. Tara finishes the rest. How many days does Tara take?
7. 7.Saanvi can finish a job in 12 days and Manav in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
8. 8.Manav can finish a job in 13 days and Ananya in 18 days. What fraction of the job do they finish if they work together for 2 days? =
9. 9.Priya can finish a job in 14 days and Diya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
10. 10.Saanvi can finish a job in 5 days and Diya in 9 days. What fraction of the job do they finish if they work together for 3 days? =
11. 11.Diya works twice as fast as Zoya. Together they finish a job in 9 days. How many days would Zoya take alone?
12. 12.Zoya and Arjun together finish a job in 2 days. Zoya alone takes 4 days. How many days would Arjun take alone?
13. 13.Aarav works three times as fast as Arjun. Together they finish a job in 5 days. How many days would Arjun take alone?
14. 14.Isha works twice as fast as Arjun. Together they finish a job in 2 days. How many days would Arjun take alone?
15. 15.Vivaan can finish a job in 6 days and Aditya in 24 days. Vivaan works alone for 5 days and then stops. Aditya finishes the rest. How many days does Aditya take?
16. 16.Kabir can finish a job in 4 days and Karan in 24 days. Kabir works alone for 1 day and then stops. Karan finishes the rest. How many days does Karan take?
17. 17.Ananya and Meera together finish a job in 6 days. Ananya alone takes 15 days. How many days would Meera take alone?
18. 18.Aarav and Rohan together finish a job in 6 days. Aarav alone takes 7 days. How many days would Rohan take alone?
19. 19.Aarav and Manav together finish a job in 2 days. Aarav alone takes 4 days. How many days would Manav take alone?
20. 20.Rahul and Rohan together finish a job in 2 days. Rahul alone takes 6 days. How many days would Rohan take alone?
21. 21.Rahul works three times as fast as Manav. Together they finish a job in 5 days. How many days would Manav take alone?
22. 22.Priya works twice as fast as Nisha. Together they finish a job in 5 days. How many days would Nisha take alone?
23. 23.Zoya and Nisha together finish a job in 2 days. Zoya alone takes 6 days. How many days would Nisha take alone?
24. 24.Aditya works three times as fast as Meera. Together they finish a job in 12 days. How many days would Meera take alone?
25. 25.Sneha can finish a job in 8 days and Kabir in 16 days. Sneha works alone for 6 days and then stops. Kabir finishes the rest. How many days does Kabir take?
26. 26.Vivaan and Tara together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Tara take alone?
27. 27.Diya can finish a job in 14 days and Manav in 8 days. What fraction of the job do they finish if they work together for 3 days? =
28. 28.Sneha works three times as fast as Isha. Together they finish a job in 9 days. How many days would Isha take alone?
29. 29.Vivaan and Tara together finish a job in 15 days. Vivaan alone takes 18 days. How many days would Tara take alone?
30. 30.Sneha can finish a job in 7 days and Saanvi in 21 days. Sneha works alone for 6 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
31. 31.Pooja and Tara together finish a job in 3 days. Pooja alone takes 4 days. How many days would Tara take alone?
32. 32.Aarav can finish a job in 24 days and Vivaan in 6 days. Aarav works alone for 8 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
33. 33.Aditya and Ananya together finish a job in 3 days. Aditya alone takes 4 days. How many days would Ananya take alone?
34. 34.Karan can finish a job in 13 days and Rohan in 26 days. Karan works alone for 7 days and then stops. Rohan finishes the rest. How many days does Rohan take?
35. 35.Karan and Nisha together finish a job in 6 days. Karan alone takes 8 days. How many days would Nisha take alone?
36. 36.Priya can finish a job in 13 days and Kabir in 19 days. What fraction of the job do they finish if they work together for 1 day? =
37. 37.Meera works twice as fast as Tara. Together they finish a job in 12 days. How many days would Tara take alone?
38. 38.Kabir and Arjun together finish a job in 4 days. Kabir alone takes 5 days. How many days would Arjun take alone?
39. 39.Meera can finish a job in 5 days and Arjun in 17 days. What fraction of the job do they finish if they work together for 2 days? =
40. 40.Manav and Ishaan together finish a job in 10 days. Manav alone takes 12 days. How many days would Ishaan take alone?

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