Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 438 · 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.Farhan can finish a job in 6 days and Meera in 18 days. Farhan works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
2. 2.Priya and Diya together finish a job in 6 days. Priya alone takes 8 days. How many days would Diya take alone?
3. 3.Meera and Manav together finish a job in 7 days. Meera alone takes 8 days. How many days would Manav take alone?
4. 4.Tara can finish a job in 4 days and Isha in 6 days. What fraction of the job do they finish if they work together for 2 days? =
5. 5.Nisha and Pooja together finish a job in 3 days. Nisha alone takes 12 days. How many days would Pooja take alone?
6. 6.Tara works three times as fast as Diya. Together they finish a job in 9 days. How many days would Diya take alone?
7. 7.Karan works twice as fast as Sneha. Together they finish a job in 11 days. How many days would Sneha take alone?
8. 8.Farhan works three times as fast as Diya. Together they finish a job in 9 days. How many days would Diya take alone?
9. 9.Kabir can finish a job in 8 days and Meera in 20 days. What fraction of the job do they finish if they work together for 1 day? =
10. 10.Zoya and Saanvi together finish a job in 9 days. Zoya alone takes 12 days. How many days would Saanvi take alone?
11. 11.Kabir can finish a job in 18 days and Aarav in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
12. 12.Nisha can finish a job in 11 days and Rahul in 22 days. Nisha works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
13. 13.Aarav can finish a job in 9 days and Nisha in 5 days. What fraction of the job do they finish if they work together for 1 day? =
14. 14.Tara can finish a job in 12 days and Rohan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
15. 15.Zoya can finish a job in 5 days and Vivaan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
16. 16.Ishaan works twice as fast as Zoya. Together they finish a job in 4 days. How many days would Zoya take alone?
17. 17.Diya can finish a job in 4 days and Saanvi in 16 days. Diya works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
18. 18.Ishaan can finish a job in 9 days and Dev in 30 days. Ishaan works alone for 6 days and then stops. Dev finishes the rest. How many days does Dev take?
19. 19.Isha can finish a job in 16 days and Pooja in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
20. 20.Meera and Aditya together finish a job in 6 days. Meera alone takes 7 days. How many days would Aditya take alone?
21. 21.Farhan can finish a job in 5 days and Zoya in 10 days. Farhan works alone for 1 day and then stops. Zoya finishes the rest. How many days does Zoya take?
22. 22.Arjun can finish a job in 13 days and Kavya in 8 days. What fraction of the job do they finish if they work together for 1 day? =
23. 23.Vivaan and Priya together finish a job in 5 days. Vivaan alone takes 6 days. How many days would Priya take alone?
24. 24.Arjun and Diya together finish a job in 4 days. Arjun alone takes 8 days. How many days would Diya take alone?
25. 25.Manav can finish a job in 19 days and Kabir in 16 days. What fraction of the job do they finish if they work together for 2 days? =
26. 26.Nisha can finish a job in 4 days and Priya in 20 days. Nisha works alone for 3 days and then stops. Priya finishes the rest. How many days does Priya take?
27. 27.Diya works three times as fast as Priya. Together they finish a job in 7 days. How many days would Priya take alone?
28. 28.Saanvi works three times as fast as Farhan. Together they finish a job in 7 days. How many days would Farhan take alone?
29. 29.Aditya works twice as fast as Priya. Together they finish a job in 4 days. How many days would Priya take alone?
30. 30.Rohan can finish a job in 8 days and Farhan in 11 days. What fraction of the job do they finish if they work together for 2 days? =
31. 31.Kabir and Zoya together finish a job in 4 days. Kabir alone takes 6 days. How many days would Zoya take alone?
32. 32.Ishaan and Sneha together finish a job in 5 days. Ishaan alone takes 6 days. How many days would Sneha take alone?
33. 33.Rohan can finish a job in 15 days and Dev in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
34. 34.Rohan can finish a job in 20 days and Nisha in 30 days. Rohan works alone for 4 days and then stops. Nisha finishes the rest. How many days does Nisha take?
35. 35.Kavya can finish a job in 12 days and Isha in 7 days. What fraction of the job do they finish if they work together for 1 day? =
36. 36.Saanvi can finish a job in 13 days and Ishaan in 26 days. Saanvi works alone for 10 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
37. 37.Kabir and Meera together finish a job in 12 days. Kabir alone takes 18 days. How many days would Meera take alone?
38. 38.Farhan and Dev together finish a job in 3 days. Farhan alone takes 6 days. How many days would Dev take alone?
39. 39.Priya can finish a job in 20 days and Dev in 13 days. What fraction of the job do they finish if they work together for 2 days? =
40. 40.Priya can finish a job in 10 days and Arjun in 30 days. Priya works alone for 5 days and then stops. Arjun finishes the rest. How many days does Arjun take?

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