Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 50 · 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.Nisha can finish a job in 5 days and Karan in 25 days. Nisha works alone for 4 days and then stops. Karan finishes the rest. How many days does Karan take?
2. 2.Priya and Sneha together finish a job in 6 days. Priya alone takes 9 days. How many days would Sneha take alone?
3. 3.Aarav can finish a job in 14 days and Nisha in 19 days. What fraction of the job do they finish if they work together for 3 days? =
4. 4.Ishaan and Diya together finish a job in 8 days. Ishaan alone takes 24 days. How many days would Diya take alone?
5. 5.Arjun and Tara together finish a job in 6 days. Arjun alone takes 9 days. How many days would Tara take alone?
6. 6.Karan can finish a job in 5 days and Priya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
7. 7.Nisha and Dev together finish a job in 6 days. Nisha alone takes 10 days. How many days would Dev take alone?
8. 8.Diya can finish a job in 8 days and Ananya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
9. 9.Dev can finish a job in 15 days and Aarav in 5 days. Dev works alone for 3 days and then stops. Aarav finishes the rest. How many days does Aarav take?
10. 10.Arjun works twice as fast as Aditya. Together they finish a job in 7 days. How many days would Aditya take alone?
11. 11.Dev can finish a job in 5 days and Pooja in 20 days. Dev works alone for 2 days and then stops. Pooja finishes the rest. How many days does Pooja take?
12. 12.Isha can finish a job in 8 days and Manav in 14 days. What fraction of the job do they finish if they work together for 2 days? =
13. 13.Nisha can finish a job in 9 days and Dev in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
14. 14.Dev works twice as fast as Karan. Together they finish a job in 5 days. How many days would Karan take alone?
15. 15.Manav can finish a job in 18 days and Rahul in 27 days. Manav works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?
16. 16.Diya can finish a job in 15 days and Rahul in 17 days. What fraction of the job do they finish if they work together for 1 day? =
17. 17.Tara can finish a job in 10 days and Vivaan in 30 days. Tara works alone for 1 day and then stops. Vivaan finishes the rest. How many days does Vivaan take?
18. 18.Diya and Manav together finish a job in 4 days. Diya alone takes 5 days. How many days would Manav take alone?
19. 19.Saanvi can finish a job in 8 days and Farhan in 4 days. What fraction of the job do they finish if they work together for 2 days? =
20. 20.Sneha can finish a job in 7 days and Karan in 15 days. What fraction of the job do they finish if they work together for 1 day? =
21. 21.Vivaan can finish a job in 7 days and Manav in 14 days. Vivaan works alone for 5 days and then stops. Manav finishes the rest. How many days does Manav take?
22. 22.Diya and Rohan together finish a job in 2 days. Diya alone takes 4 days. How many days would Rohan take alone?
23. 23.Kabir works twice as fast as Saanvi. Together they finish a job in 6 days. How many days would Saanvi take alone?
24. 24.Sneha can finish a job in 11 days and Pooja in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
25. 25.Sneha can finish a job in 8 days and Ishaan in 18 days. Sneha works alone for 4 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
26. 26.Dev can finish a job in 16 days and Ananya in 20 days. What fraction of the job do they finish if they work together for 2 days? =
27. 27.Isha works three times as fast as Rahul. Together they finish a job in 7 days. How many days would Rahul take alone?
28. 28.Manav and Ananya together finish a job in 3 days. Manav alone takes 12 days. How many days would Ananya take alone?
29. 29.Sneha can finish a job in 13 days and Ananya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
30. 30.Kabir can finish a job in 13 days and Rohan in 26 days. Kabir works alone for 6 days and then stops. Rohan finishes the rest. How many days does Rohan take?
31. 31.Dev can finish a job in 4 days and Diya in 28 days. Dev works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
32. 32.Arjun can finish a job in 8 days and Pooja in 16 days. Arjun works alone for 3 days and then stops. Pooja finishes the rest. How many days does Pooja take?
33. 33.Arjun can finish a job in 14 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. =
34. 34.Dev works twice as fast as Diya. Together they finish a job in 5 days. How many days would Diya take alone?
35. 35.Ishaan works three times as fast as Rohan. Together they finish a job in 11 days. How many days would Rohan take alone?
36. 36.Pooja works twice as fast as Kabir. Together they finish a job in 5 days. How many days would Kabir take alone?
37. 37.Pooja can finish a job in 14 days and Nisha in 13 days. What fraction of the job do they finish if they work together for 1 day? =
38. 38.Kavya can finish a job in 20 days and Farhan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
39. 39.Rohan can finish a job in 4 days and Dev in 13 days. What fraction of the job do they finish if they work together for 2 days? =
40. 40.Vivaan can finish a job in 3 days and Aditya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

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