Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 307 · 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.Ananya can finish a job in 13 days and Saanvi in 8 days. What fraction of the job do they finish if they work together for 3 days? =
2. 2.Aarav can finish a job in 15 days and Manav in 7 days. What fraction of the job do they finish if they work together for 1 day? =
3. 3.Saanvi can finish a job in 14 days and Farhan in 19 days. What fraction of the job do they finish if they work together for 1 day? =
4. 4.Vivaan can finish a job in 30 days and Dev in 28 days. Vivaan works alone for 15 days and then stops. Dev finishes the rest. How many days does Dev take?
5. 5.Rohan and Pooja together finish a job in 2 days. Rohan alone takes 6 days. How many days would Pooja take alone?
6. 6.Karan can finish a job in 10 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. =
7. 7.Arjun can finish a job in 4 days and Rohan in 8 days. Arjun works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
8. 8.Kabir works twice as fast as Saanvi. Together they finish a job in 11 days. How many days would Saanvi take alone?
9. 9.Nisha can finish a job in 20 days and Isha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
10. 10.Ananya works three times as fast as Farhan. Together they finish a job in 5 days. How many days would Farhan take alone?
11. 11.Pooja works twice as fast as Sneha. Together they finish a job in 10 days. How many days would Sneha take alone?
12. 12.Dev and Pooja together finish a job in 2 days. Dev alone takes 3 days. How many days would Pooja take alone?
13. 13.Kabir can finish a job in 7 days and Manav in 8 days. What fraction of the job do they finish if they work together for 1 day? =
14. 14.Rohan can finish a job in 7 days and Tara in 5 days. What fraction of the job do they finish if they work together for 1 day? =
15. 15.Meera can finish a job in 9 days and Aarav in 6 days. Meera works alone for 3 days and then stops. Aarav finishes the rest. How many days does Aarav take?
16. 16.Ananya works three times as fast as Sneha. Together they finish a job in 11 days. How many days would Sneha take alone?
17. 17.Isha can finish a job in 8 days and Pooja in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
18. 18.Manav can finish a job in 7 days and Aditya in 14 days. Manav works alone for 5 days and then stops. Aditya finishes the rest. How many days does Aditya take?
19. 19.Rahul and Karan together finish a job in 9 days. Rahul alone takes 12 days. How many days would Karan take alone?
20. 20.Isha can finish a job in 18 days and Zoya in 30 days. Isha works alone for 15 days and then stops. Zoya finishes the rest. How many days does Zoya take?
21. 21.Arjun works three times as fast as Ishaan. Together they finish a job in 12 days. How many days would Ishaan take alone?
22. 22.Vivaan and Ananya together finish a job in 5 days. Vivaan alone takes 10 days. How many days would Ananya take alone?
23. 23.Diya can finish a job in 16 days and Zoya in 12 days. Diya works alone for 8 days and then stops. Zoya finishes the rest. How many days does Zoya take?
24. 24.Arjun works twice as fast as Sneha. Together they finish a job in 9 days. How many days would Sneha take alone?
25. 25.Farhan works three times as fast as Aditya. Together they finish a job in 3 days. How many days would Aditya take alone?
26. 26.Arjun and Dev together finish a job in 3 days. Arjun alone takes 4 days. How many days would Dev take alone?
27. 27.Dev works three times as fast as Vivaan. Together they finish a job in 5 days. How many days would Vivaan take alone?
28. 28.Diya and Pooja together finish a job in 6 days. Diya alone takes 18 days. How many days would Pooja take alone?
29. 29.Kavya works twice as fast as Diya. Together they finish a job in 5 days. How many days would Diya take alone?
30. 30.Kavya and Rohan together finish a job in 4 days. Kavya alone takes 12 days. How many days would Rohan take alone?
31. 31.Diya and Rohan together finish a job in 2 days. Diya alone takes 3 days. How many days would Rohan take alone?
32. 32.Tara works twice as fast as Ananya. Together they finish a job in 4 days. How many days would Ananya take alone?
33. 33.Pooja can finish a job in 5 days and Ishaan in 15 days. What fraction of the job do they finish if they work together for 3 days? =
34. 34.Diya can finish a job in 20 days and Pooja in 28 days. Diya works alone for 15 days and then stops. Pooja finishes the rest. How many days does Pooja take?
35. 35.Aditya can finish a job in 7 days and Sneha in 12 days. What fraction of the job do they finish if they work together for 2 days? =
36. 36.Kabir works three times as fast as Isha. Together they finish a job in 8 days. How many days would Isha take alone?
37. 37.Vivaan can finish a job in 7 days and Karan in 19 days. What fraction of the job do they finish if they work together for 3 days? =
38. 38.Ishaan can finish a job in 4 days and Priya in 24 days. Ishaan works alone for 3 days and then stops. Priya finishes the rest. How many days does Priya take?
39. 39.Saanvi can finish a job in 4 days and Priya in 24 days. Saanvi works alone for 3 days and then stops. Priya finishes the rest. How many days does Priya take?
40. 40.Manav can finish a job in 7 days and Diya in 21 days. Manav works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?

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