Time and Work Worksheet

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

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