Time and Work Worksheet

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

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