Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 130 · 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 can finish a job in 10 days and Ananya in 30 days. Zoya works alone for 5 days and then stops. Ananya finishes the rest. How many days does Ananya take?
2. 2.Rahul can finish a job in 18 days and Meera in 16 days. What fraction of the job do they finish if they work together for 1 day? =
3. 3.Manav and Diya together finish a job in 3 days. Manav alone takes 6 days. How many days would Diya take alone?
4. 4.Manav works twice as fast as Priya. Together they finish a job in 8 days. How many days would Priya take alone?
5. 5.Vivaan can finish a job in 4 days and Farhan in 6 days. What fraction of the job do they finish if they work together for 1 day? =
6. 6.Meera and Ishaan together finish a job in 14 days. Meera alone takes 18 days. How many days would Ishaan take alone?
7. 7.Kavya can finish a job in 21 days and Rohan in 14 days. Kavya works alone for 15 days and then stops. Rohan finishes the rest. How many days does Rohan take?
8. 8.Ananya can finish a job in 8 days and Rahul in 28 days. Ananya works alone for 2 days and then stops. Rahul finishes the rest. How many days does Rahul take?
9. 9.Saanvi can finish a job in 8 days and Tara in 6 days. What fraction of the job do they finish if they work together for 1 day? =
10. 10.Aarav and Vivaan together finish a job in 6 days. Aarav alone takes 9 days. How many days would Vivaan take alone?
11. 11.Pooja works three times as fast as Manav. Together they finish a job in 9 days. How many days would Manav take alone?
12. 12.Nisha can finish a job in 5 days and Sneha in 4 days. What fraction of the job do they finish if they work together for 2 days? =
13. 13.Aditya can finish a job in 4 days and Nisha in 20 days. Aditya works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
14. 14.Tara and Manav together finish a job in 5 days. Tara alone takes 6 days. How many days would Manav take alone?
15. 15.Kabir can finish a job in 14 days and Rahul in 5 days. What fraction of the job do they finish if they work together for 2 days? =
16. 16.Aarav can finish a job in 15 days and Zoya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
17. 17.Ishaan 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. =
18. 18.Pooja can finish a job in 22 days and Kabir in 4 days. Pooja works alone for 11 days and then stops. Kabir finishes the rest. How many days does Kabir take?
19. 19.Aditya and Tara together finish a job in 6 days. Aditya alone takes 7 days. How many days would Tara take alone?
20. 20.Aarav works three times as fast as Tara. Together they finish a job in 7 days. How many days would Tara take alone?
21. 21.Aditya and Arjun together finish a job in 2 days. Aditya alone takes 6 days. How many days would Arjun take alone?
22. 22.Diya can finish a job in 4 days and Farhan in 28 days. Diya works alone for 3 days and then stops. Farhan finishes the rest. How many days does Farhan take?
23. 23.Tara can finish a job in 7 days and Aarav in 14 days. Tara works alone for 6 days and then stops. Aarav finishes the rest. How many days does Aarav take?
24. 24.Isha can finish a job in 11 days and Priya in 8 days. What fraction of the job do they finish if they work together for 3 days? =
25. 25.Karan can finish a job in 19 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. =
26. 26.Rahul works three times as fast as Farhan. Together they finish a job in 9 days. How many days would Farhan take alone?
27. 27.Farhan can finish a job in 6 days and Rohan in 12 days. What fraction of the job do they finish if they work together for 1 day? =
28. 28.Zoya and Tara together finish a job in 2 days. Zoya alone takes 3 days. How many days would Tara take alone?
29. 29.Arjun can finish a job in 9 days and Nisha in 27 days. Arjun works alone for 2 days and then stops. Nisha finishes the rest. How many days does Nisha take?
30. 30.Rahul can finish a job in 4 days and Dev in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
31. 31.Aditya can finish a job in 18 days and Arjun in 13 days. What fraction of the job do they finish if they work together for 2 days? =
32. 32.Pooja can finish a job in 20 days and Farhan in 10 days. Pooja works alone for 8 days and then stops. Farhan finishes the rest. How many days does Farhan take?
33. 33.Vivaan and Arjun together finish a job in 8 days. Vivaan alone takes 16 days. How many days would Arjun take alone?
34. 34.Priya can finish a job in 6 days and Diya in 27 days. Priya works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
35. 35.Rohan can finish a job in 7 days and Manav in 18 days. What fraction of the job do they finish if they work together for 3 days? =
36. 36.Zoya can finish a job in 24 days and Rohan in 8 days. Zoya works alone for 15 days and then stops. Rohan finishes the rest. How many days does Rohan take?
37. 37.Manav can finish a job in 4 days and Isha in 8 days. Manav works alone for 1 day and then stops. Isha finishes the rest. How many days does Isha take?
38. 38.Aarav works three times as fast as Arjun. Together they finish a job in 2 days. How many days would Arjun take alone?
39. 39.Ananya can finish a job in 13 days and Rohan in 16 days. What fraction of the job do they finish if they work together for 3 days? =
40. 40.Saanvi and Rohan together finish a job in 18 days. Saanvi alone takes 27 days. How many days would Rohan take alone?

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