Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 43 · 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.Arjun can finish a job in 14 days and Rohan in 28 days. Arjun works alone for 9 days and then stops. Rohan finishes the rest. How many days does Rohan take?
2. 2.Ishaan can finish a job in 9 days and Diya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
3. 3.Dev can finish a job in 11 days and Sneha in 10 days. What fraction of the job do they finish if they work together for 2 days? =
4. 4.Rahul can finish a job in 13 days and Nisha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
5. 5.Rohan and Nisha together finish a job in 3 days. Rohan alone takes 6 days. How many days would Nisha take alone?
6. 6.Nisha can finish a job in 19 days and Arjun in 13 days. What fraction of the job do they finish if they work together for 3 days? =
7. 7.Nisha works twice as fast as Zoya. Together they finish a job in 7 days. How many days would Zoya take alone?
8. 8.Sneha can finish a job in 10 days and Karan in 5 days. Sneha works alone for 4 days and then stops. Karan finishes the rest. How many days does Karan take?
9. 9.Ananya can finish a job in 9 days and Rahul in 17 days. What fraction of the job do they finish if they work together for 1 day? =
10. 10.Arjun and Rohan together finish a job in 4 days. Arjun alone takes 6 days. How many days would Rohan take alone?
11. 11.Kavya works three times as fast as Ishaan. Together they finish a job in 10 days. How many days would Ishaan take alone?
12. 12.Aarav works three times as fast as Rohan. Together they finish a job in 2 days. How many days would Rohan take alone?
13. 13.Aarav and Aditya together finish a job in 9 days. Aarav alone takes 18 days. How many days would Aditya take alone?
14. 14.Zoya can finish a job in 5 days and Kavya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
15. 15.Kavya can finish a job in 6 days and Zoya in 9 days. What fraction of the job do they finish if they work together for 3 days? =
16. 16.Dev can finish a job in 20 days and Farhan in 17 days. What fraction of the job do they finish if they work together for 2 days? =
17. 17.Ishaan can finish a job in 5 days and Isha in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
18. 18.Ananya can finish a job in 6 days and Kabir in 18 days. Ananya works alone for 3 days and then stops. Kabir finishes the rest. How many days does Kabir take?
19. 19.Ananya works three times as fast as Rahul. Together they finish a job in 12 days. How many days would Rahul take alone?
20. 20.Sneha works three times as fast as Rohan. Together they finish a job in 5 days. How many days would Rohan take alone?
21. 21.Diya can finish a job in 4 days and Kavya in 11 days. What fraction of the job do they finish if they work together for 2 days? =
22. 22.Pooja can finish a job in 5 days and Ishaan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
23. 23.Rahul and Aarav together finish a job in 8 days. Rahul alone takes 10 days. How many days would Aarav take alone?
24. 24.Farhan works twice as fast as Ishaan. Together they finish a job in 3 days. How many days would Ishaan take alone?
25. 25.Nisha works three times as fast as Tara. Together they finish a job in 9 days. How many days would Tara take alone?
26. 26.Sneha and Kabir together finish a job in 5 days. Sneha alone takes 6 days. How many days would Kabir take alone?
27. 27.Ishaan can finish a job in 14 days and Nisha in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
28. 28.Vivaan can finish a job in 12 days and Aditya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
29. 29.Kabir can finish a job in 13 days and Dev in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
30. 30.Kavya and Karan together finish a job in 2 days. Kavya alone takes 4 days. How many days would Karan take alone?
31. 31.Pooja can finish a job in 14 days and Kabir in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
32. 32.Isha and Zoya together finish a job in 4 days. Isha alone takes 6 days. How many days would Zoya take alone?
33. 33.Nisha can finish a job in 20 days and Meera in 17 days. What fraction of the job do they finish if they work together for 1 day? =
34. 34.Ananya and Rohan together finish a job in 12 days. Ananya alone takes 24 days. How many days would Rohan take alone?
35. 35.Aditya can finish a job in 14 days and Rahul in 21 days. Aditya works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?
36. 36.Nisha works twice as fast as Meera. Together they finish a job in 9 days. How many days would Meera take alone?
37. 37.Pooja can finish a job in 9 days and Arjun in 6 days. Pooja works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
38. 38.Sneha works twice as fast as Saanvi. Together they finish a job in 3 days. How many days would Saanvi take alone?
39. 39.Pooja can finish a job in 15 days and Diya in 24 days. Pooja works alone for 10 days and then stops. Diya finishes the rest. How many days does Diya take?
40. 40.Ananya works twice as fast as Ishaan. Together they finish a job in 8 days. How many days would Ishaan take alone?

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