Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 469 · 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 9 days and Kavya in 27 days. Arjun works alone for 7 days and then stops. Kavya finishes the rest. How many days does Kavya take?
2. 2.Aditya and Sneha together finish a job in 12 days. Aditya alone takes 18 days. How many days would Sneha take alone?
3. 3.Rahul and Aarav together finish a job in 5 days. Rahul alone takes 10 days. How many days would Aarav take alone?
4. 4.Karan can finish a job in 8 days and Priya in 19 days. What fraction of the job do they finish if they work together for 2 days? =
5. 5.Nisha can finish a job in 2 days and Rahul in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
6. 6.Vivaan works twice as fast as Isha. Together they finish a job in 2 days. How many days would Isha take alone?
7. 7.Nisha works twice as fast as Arjun. Together they finish a job in 8 days. How many days would Arjun take alone?
8. 8.Sneha can finish a job in 12 days and Rohan in 5 days. What fraction of the job do they finish if they work together for 1 day? =
9. 9.Kavya can finish a job in 15 days and Manav in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
10. 10.Rohan can finish a job in 11 days and Arjun in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
11. 11.Aarav works twice as fast as Tara. Together they finish a job in 4 days. How many days would Tara take alone?
12. 12.Rohan can finish a job in 6 days and Diya in 24 days. Rohan works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
13. 13.Nisha can finish a job in 12 days and Karan in 20 days. What fraction of the job do they finish if they work together for 2 days? =
14. 14.Kavya and Sneha together finish a job in 2 days. Kavya alone takes 3 days. How many days would Sneha take alone?
15. 15.Vivaan and Sneha together finish a job in 4 days. Vivaan alone takes 20 days. How many days would Sneha take alone?
16. 16.Nisha works twice as fast as Diya. Together they finish a job in 12 days. How many days would Diya take alone?
17. 17.Manav can finish a job in 6 days and Rahul in 22 days. Manav works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
18. 18.Priya can finish a job in 10 days and Tara in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
19. 19.Ishaan can finish a job in 12 days and Zoya in 24 days. Ishaan works alone for 11 days and then stops. Zoya finishes the rest. How many days does Zoya take?
20. 20.Tara can finish a job in 4 days and Farhan in 10 days. Tara works alone for 2 days and then stops. Farhan finishes the rest. How many days does Farhan take?
21. 21.Aditya works three times as fast as Dev. Together they finish a job in 12 days. How many days would Dev take alone?
22. 22.Aarav can finish a job in 14 days and Dev in 21 days. Aarav works alone for 4 days and then stops. Dev finishes the rest. How many days does Dev take?
23. 23.Farhan can finish a job in 4 days and Kabir in 14 days. What fraction of the job do they finish if they work together for 1 day? =
24. 24.Karan can finish a job in 19 days and Zoya in 17 days. What fraction of the job do they finish if they work together for 1 day? =
25. 25.Ananya can finish a job in 11 days and Dev in 8 days. What fraction of the job do they finish if they work together for 1 day? =
26. 26.Zoya can finish a job in 20 days and Meera in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
27. 27.Isha can finish a job in 7 days and Rahul in 21 days. Isha works alone for 1 day and then stops. Rahul finishes the rest. How many days does Rahul take?
28. 28.Rahul can finish a job in 5 days and Arjun in 8 days. What fraction of the job do they finish if they work together for 2 days? =
29. 29.Meera works three times as fast as Zoya. Together they finish a job in 11 days. How many days would Zoya take alone?
30. 30.Kavya can finish a job in 20 days and Aditya in 7 days. What fraction of the job do they finish if they work together for 1 day? =
31. 31.Saanvi works three times as fast as Aditya. Together they finish a job in 8 days. How many days would Aditya take alone?
32. 32.Ishaan can finish a job in 6 days and Sneha in 24 days. Ishaan works alone for 4 days and then stops. Sneha finishes the rest. How many days does Sneha take?
33. 33.Isha and Aditya together finish a job in 12 days. Isha alone takes 14 days. How many days would Aditya take alone?
34. 34.Arjun can finish a job in 10 days and Pooja in 8 days. What fraction of the job do they finish if they work together for 3 days? =
35. 35.Rahul and Diya together finish a job in 3 days. Rahul alone takes 4 days. How many days would Diya take alone?
36. 36.Sneha works three times as fast as Meera. Together they finish a job in 2 days. How many days would Meera take alone?
37. 37.Nisha can finish a job in 2 days and Kabir in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
38. 38.Vivaan can finish a job in 5 days and Rahul in 6 days. What fraction of the job do they finish if they work together for 1 day? =
39. 39.Ananya can finish a job in 21 days and Saanvi in 9 days. Ananya works alone for 14 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
40. 40.Farhan and Karan together finish a job in 2 days. Farhan alone takes 3 days. How many days would Karan take alone?

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