Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 93 · 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 11 days and Rahul in 16 days. What fraction of the job do they finish if they work together for 2 days? =
2. 2.Aarav can finish a job in 6 days and Tara in 18 days. Aarav works alone for 5 days and then stops. Tara finishes the rest. How many days does Tara take?
3. 3.Kavya can finish a job in 4 days and Priya in 12 days. Kavya works alone for 3 days and then stops. Priya finishes the rest. How many days does Priya take?
4. 4.Diya can finish a job in 15 days and Aditya in 30 days. Diya works alone for 3 days and then stops. Aditya finishes the rest. How many days does Aditya take?
5. 5.Aarav and Karan together finish a job in 4 days. Aarav alone takes 6 days. How many days would Karan take alone?
6. 6.Isha can finish a job in 4 days and Kavya in 12 days. Isha works alone for 1 day and then stops. Kavya finishes the rest. How many days does Kavya take?
7. 7.Rahul can finish a job in 15 days and Farhan in 5 days. Rahul works alone for 3 days and then stops. Farhan finishes the rest. How many days does Farhan take?
8. 8.Ananya works twice as fast as Zoya. Together they finish a job in 2 days. How many days would Zoya take alone?
9. 9.Rohan works twice as fast as Isha. Together they finish a job in 8 days. How many days would Isha take alone?
10. 10.Nisha and Ananya together finish a job in 3 days. Nisha alone takes 4 days. How many days would Ananya take alone?
11. 11.Kabir can finish a job in 11 days and Rohan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
12. 12.Priya can finish a job in 18 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. =
13. 13.Kavya can finish a job in 8 days and Aditya in 20 days. Kavya works alone for 2 days and then stops. Aditya finishes the rest. How many days does Aditya take?
14. 14.Arjun can finish a job in 24 days and Priya in 20 days. Arjun works alone for 6 days and then stops. Priya finishes the rest. How many days does Priya take?
15. 15.Isha and Saanvi together finish a job in 6 days. Isha alone takes 7 days. How many days would Saanvi take alone?
16. 16.Kavya works three times as fast as Tara. Together they finish a job in 4 days. How many days would Tara take alone?
17. 17.Meera can finish a job in 14 days and Isha in 5 days. What fraction of the job do they finish if they work together for 1 day? =
18. 18.Dev can finish a job in 14 days and Farhan in 7 days. What fraction of the job do they finish if they work together for 1 day? =
19. 19.Vivaan and Karan together finish a job in 6 days. Vivaan alone takes 8 days. How many days would Karan take alone?
20. 20.Arjun works twice as fast as Manav. Together they finish a job in 2 days. How many days would Manav take alone?
21. 21.Manav works three times as fast as Pooja. Together they finish a job in 9 days. How many days would Pooja take alone?
22. 22.Vivaan works twice as fast as Dev. Together they finish a job in 3 days. How many days would Dev take alone?
23. 23.Rohan can finish a job in 7 days and Aditya in 28 days. Rohan works alone for 4 days and then stops. Aditya finishes the rest. How many days does Aditya take?
24. 24.Rohan can finish a job in 11 days and Zoya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
25. 25.Farhan works twice as fast as Dev. Together they finish a job in 2 days. How many days would Dev take alone?
26. 26.Nisha can finish a job in 30 days and Kavya in 20 days. Nisha works alone for 6 days and then stops. Kavya finishes the rest. How many days does Kavya take?
27. 27.Nisha and Meera together finish a job in 5 days. Nisha alone takes 6 days. How many days would Meera take alone?
28. 28.Kavya can finish a job in 5 days and Rohan in 25 days. Kavya works alone for 4 days and then stops. Rohan finishes the rest. How many days does Rohan take?
29. 29.Arjun can finish a job in 11 days and Kavya in 16 days. What fraction of the job do they finish if they work together for 1 day? =
30. 30.Aarav and Dev together finish a job in 3 days. Aarav alone takes 12 days. How many days would Dev take alone?
31. 31.Ishaan can finish a job in 2 days and Kavya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
32. 32.Tara can finish a job in 8 days and Dev in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
33. 33.Rahul can finish a job in 7 days and Isha in 21 days. Rahul works alone for 2 days and then stops. Isha finishes the rest. How many days does Isha take?
34. 34.Priya and Pooja together finish a job in 6 days. Priya alone takes 12 days. How many days would Pooja take alone?
35. 35.Nisha can finish a job in 8 days and Sneha in 17 days. What fraction of the job do they finish if they work together for 2 days? =
36. 36.Farhan can finish a job in 4 days and Pooja in 20 days. Farhan works alone for 1 day and then stops. Pooja finishes the rest. How many days does Pooja take?
37. 37.Rohan can finish a job in 12 days and Ananya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
38. 38.Diya works twice as fast as Kavya. Together they finish a job in 3 days. How many days would Kavya take alone?
39. 39.Priya can finish a job in 5 days and Saanvi in 25 days. Priya works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
40. 40.Kavya can finish a job in 17 days and Aarav in 10 days. What fraction of the job do they finish if they work together for 1 day? =

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