Time and Work Worksheet

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

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