Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 336 · 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 Ananya. Together they finish a job in 2 days. How many days would Ananya take alone?
2. 2.Rohan can finish a job in 8 days and Aditya in 30 days. Rohan works alone for 4 days and then stops. Aditya finishes the rest. How many days does Aditya take?
3. 3.Aarav works three times as fast as Dev. Together they finish a job in 11 days. How many days would Dev take alone?
4. 4.Aarav can finish a job in 17 days and Rohan in 16 days. What fraction of the job do they finish if they work together for 3 days? =
5. 5.Diya works three times as fast as Zoya. Together they finish a job in 2 days. How many days would Zoya take alone?
6. 6.Vivaan and Aditya together finish a job in 4 days. Vivaan alone takes 6 days. How many days would Aditya take alone?
7. 7.Nisha and Ananya together finish a job in 3 days. Nisha alone takes 6 days. How many days would Ananya take alone?
8. 8.Ishaan can finish a job in 14 days and Zoya in 28 days. Ishaan works alone for 2 days and then stops. Zoya finishes the rest. How many days does Zoya take?
9. 9.Ishaan and Manav together finish a job in 3 days. Ishaan alone takes 6 days. How many days would Manav take alone?
10. 10.Farhan and Karan together finish a job in 15 days. Farhan alone takes 20 days. How many days would Karan take alone?
11. 11.Kavya and Kabir together finish a job in 18 days. Kavya alone takes 30 days. How many days would Kabir take alone?
12. 12.Aditya can finish a job in 14 days and Ananya in 12 days. What fraction of the job do they finish if they work together for 3 days? =
13. 13.Farhan can finish a job in 4 days and Karan in 24 days. Farhan works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
14. 14.Saanvi can finish a job in 10 days and Meera in 8 days. What fraction of the job do they finish if they work together for 1 day? =
15. 15.Ishaan can finish a job in 18 days and Vivaan in 7 days. What fraction of the job do they finish if they work together for 1 day? =
16. 16.Diya can finish a job in 8 days and Tara in 11 days. What fraction of the job do they finish if they work together for 3 days? =
17. 17.Tara and Aditya together finish a job in 2 days. Tara alone takes 3 days. How many days would Aditya take alone?
18. 18.Sneha can finish a job in 4 days and Ishaan in 19 days. What fraction of the job do they finish if they work together for 1 day? =
19. 19.Meera works twice as fast as Pooja. Together they finish a job in 5 days. How many days would Pooja take alone?
20. 20.Saanvi can finish a job in 3 days and Nisha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
21. 21.Diya and Farhan together finish a job in 2 days. Diya alone takes 3 days. How many days would Farhan take alone?
22. 22.Isha works three times as fast as Kabir. Together they finish a job in 10 days. How many days would Kabir take alone?
23. 23.Kabir can finish a job in 5 days and Dev in 12 days. What fraction of the job do they finish if they work together for 2 days? =
24. 24.Aditya can finish a job in 12 days and Karan in 24 days. Aditya works alone for 11 days and then stops. Karan finishes the rest. How many days does Karan take?
25. 25.Arjun can finish a job in 5 days and Rohan in 15 days. Arjun works alone for 1 day and then stops. Rohan finishes the rest. How many days does Rohan take?
26. 26.Aarav and Rohan together finish a job in 8 days. Aarav alone takes 10 days. How many days would Rohan take alone?
27. 27.Tara works twice as fast as Arjun. Together they finish a job in 12 days. How many days would Arjun take alone?
28. 28.Arjun and Nisha together finish a job in 6 days. Arjun alone takes 7 days. How many days would Nisha take alone?
29. 29.Priya can finish a job in 13 days and Sneha in 7 days. What fraction of the job do they finish if they work together for 2 days? =
30. 30.Saanvi and Rohan together finish a job in 4 days. Saanvi alone takes 6 days. How many days would Rohan take alone?
31. 31.Kabir can finish a job in 8 days and Ananya in 16 days. Kabir works alone for 7 days and then stops. Ananya finishes the rest. How many days does Ananya take?
32. 32.Ananya can finish a job in 8 days and Aditya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
33. 33.Tara and Pooja together finish a job in 8 days. Tara alone takes 10 days. How many days would Pooja take alone?
34. 34.Diya and Meera together finish a job in 3 days. Diya alone takes 6 days. How many days would Meera take alone?
35. 35.Tara and Aarav together finish a job in 2 days. Tara alone takes 3 days. How many days would Aarav take alone?
36. 36.Diya can finish a job in 15 days and Farhan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
37. 37.Dev can finish a job in 7 days and Diya in 14 days. What fraction of the job do they finish if they work together for 2 days? =
38. 38.Kabir can finish a job in 4 days and Saanvi in 8 days. Kabir works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
39. 39.Kabir and Meera together finish a job in 2 days. Kabir alone takes 3 days. How many days would Meera take alone?
40. 40.Dev can finish a job in 8 days and Rahul in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

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