Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 129 · 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.Zoya works three times as fast as Rahul. Together they finish a job in 12 days. How many days would Rahul take alone?
2. 2.Manav works three times as fast as Saanvi. Together they finish a job in 11 days. How many days would Saanvi take alone?
3. 3.Rohan and Priya together finish a job in 3 days. Rohan alone takes 12 days. How many days would Priya take alone?
4. 4.Aditya and Zoya together finish a job in 4 days. Aditya alone takes 5 days. How many days would Zoya take alone?
5. 5.Meera can finish a job in 16 days and Zoya in 4 days. What fraction of the job do they finish if they work together for 2 days? =
6. 6.Farhan and Rohan together finish a job in 2 days. Farhan alone takes 4 days. How many days would Rohan take alone?
7. 7.Farhan can finish a job in 5 days and Saanvi in 20 days. Farhan works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
8. 8.Aarav and Diya together finish a job in 5 days. Aarav alone takes 30 days. How many days would Diya take alone?
9. 9.Diya works three times as fast as Dev. Together they finish a job in 3 days. How many days would Dev take alone?
10. 10.Pooja works twice as fast as Karan. Together they finish a job in 6 days. How many days would Karan take alone?
11. 11.Ishaan can finish a job in 6 days and Rahul in 20 days. What fraction of the job do they finish if they work together for 3 days? =
12. 12.Aditya can finish a job in 4 days and Sneha in 8 days. Aditya works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
13. 13.Priya can finish a job in 18 days and Meera in 14 days. What fraction of the job do they finish if they work together for 2 days? =
14. 14.Aarav can finish a job in 14 days and Nisha in 15 days. What fraction of the job do they finish if they work together for 3 days? =
15. 15.Sneha can finish a job in 15 days and Tara in 17 days. What fraction of the job do they finish if they work together for 1 day? =
16. 16.Isha can finish a job in 11 days and Ananya in 18 days. What fraction of the job do they finish if they work together for 2 days? =
17. 17.Tara can finish a job in 16 days and Nisha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
18. 18.Dev can finish a job in 20 days and Meera in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
19. 19.Arjun and Rohan together finish a job in 2 days. Arjun alone takes 3 days. How many days would Rohan take alone?
20. 20.Pooja can finish a job in 8 days and Priya in 28 days. Pooja works alone for 2 days and then stops. Priya finishes the rest. How many days does Priya take?
21. 21.Isha and Meera together finish a job in 6 days. Isha alone takes 10 days. How many days would Meera take alone?
22. 22.Kavya works three times as fast as Vivaan. Together they finish a job in 4 days. How many days would Vivaan take alone?
23. 23.Kavya can finish a job in 11 days and Diya in 10 days. What fraction of the job do they finish if they work together for 3 days? =
24. 24.Pooja can finish a job in 10 days and Arjun in 18 days. Pooja works alone for 5 days and then stops. Arjun finishes the rest. How many days does Arjun take?
25. 25.Kavya and Meera together finish a job in 2 days. Kavya alone takes 6 days. How many days would Meera take alone?
26. 26.Isha works three times as fast as Rohan. Together they finish a job in 12 days. How many days would Rohan take alone?
27. 27.Aditya can finish a job in 6 days and Pooja in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
28. 28.Kavya works twice as fast as Manav. Together they finish a job in 11 days. How many days would Manav take alone?
29. 29.Diya can finish a job in 9 days and Manav in 19 days. What fraction of the job do they finish if they work together for 2 days? =
30. 30.Karan can finish a job in 19 days and Isha in 13 days. What fraction of the job do they finish if they work together for 3 days? =
31. 31.Ishaan can finish a job in 3 days and Rohan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
32. 32.Zoya can finish a job in 7 days and Tara in 14 days. Zoya works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
33. 33.Dev and Rohan together finish a job in 3 days. Dev alone takes 4 days. How many days would Rohan take alone?
34. 34.Rohan can finish a job in 20 days and Tara in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
35. 35.Saanvi can finish a job in 10 days and Tara in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
36. 36.Isha and Zoya together finish a job in 2 days. Isha alone takes 4 days. How many days would Zoya take alone?
37. 37.Rahul can finish a job in 20 days and Meera in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
38. 38.Aarav and Rohan together finish a job in 18 days. Aarav alone takes 30 days. How many days would Rohan take alone?
39. 39.Kabir and Priya together finish a job in 2 days. Kabir alone takes 3 days. How many days would Priya take alone?
40. 40.Nisha and Karan together finish a job in 21 days. Nisha alone takes 28 days. How many days would Karan take alone?

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