Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 74 · 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.Rohan can finish a job in 6 days and Ishaan in 24 days. Rohan works alone for 1 day and then stops. Ishaan finishes the rest. How many days does Ishaan take?
2. 2.Manav works twice as fast as Ishaan. Together they finish a job in 9 days. How many days would Ishaan take alone?
3. 3.Sneha can finish a job in 20 days and Farhan in 14 days. What fraction of the job do they finish if they work together for 1 day? =
4. 4.Ananya can finish a job in 4 days and Saanvi in 28 days. Ananya works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
5. 5.Saanvi works three times as fast as Priya. Together they finish a job in 4 days. How many days would Priya take alone?
6. 6.Pooja works twice as fast as Arjun. Together they finish a job in 4 days. How many days would Arjun take alone?
7. 7.Saanvi and Ananya together finish a job in 2 days. Saanvi alone takes 6 days. How many days would Ananya take alone?
8. 8.Arjun works twice as fast as Pooja. Together they finish a job in 12 days. How many days would Pooja take alone?
9. 9.Ananya works three times as fast as Dev. Together they finish a job in 8 days. How many days would Dev take alone?
10. 10.Rahul and Priya together finish a job in 6 days. Rahul alone takes 9 days. How many days would Priya take alone?
11. 11.Isha can finish a job in 15 days and Priya in 5 days. Isha works alone for 3 days and then stops. Priya finishes the rest. How many days does Priya take?
12. 12.Tara and Arjun together finish a job in 2 days. Tara alone takes 3 days. How many days would Arjun take alone?
13. 13.Aarav and Arjun together finish a job in 2 days. Aarav alone takes 3 days. How many days would Arjun take alone?
14. 14.Kabir can finish a job in 6 days and Isha in 18 days. What fraction of the job do they finish if they work together for 2 days? =
15. 15.Priya can finish a job in 30 days and Ishaan in 5 days. Priya works alone for 18 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
16. 16.Ananya can finish a job in 18 days and Kabir in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
17. 17.Farhan can finish a job in 2 days and Rohan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
18. 18.Saanvi can finish a job in 6 days and Arjun in 30 days. Saanvi works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
19. 19.Farhan can finish a job in 18 days and Kabir in 27 days. Farhan works alone for 6 days and then stops. Kabir finishes the rest. How many days does Kabir take?
20. 20.Aditya can finish a job in 30 days and Saanvi in 9 days. Aditya works alone for 20 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
21. 21.Meera can finish a job in 11 days and Sneha in 7 days. What fraction of the job do they finish if they work together for 3 days? =
22. 22.Farhan can finish a job in 4 days and Meera in 10 days. Farhan works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
23. 23.Manav works twice as fast as Rohan. Together they finish a job in 9 days. How many days would Rohan take alone?
24. 24.Vivaan can finish a job in 4 days and Zoya in 18 days. What fraction of the job do they finish if they work together for 1 day? =
25. 25.Aditya and Pooja together finish a job in 5 days. Aditya alone takes 10 days. How many days would Pooja take alone?
26. 26.Ananya can finish a job in 5 days and Aditya in 12 days. What fraction of the job do they finish if they work together for 2 days? =
27. 27.Rahul can finish a job in 4 days and Meera in 15 days. What fraction of the job do they finish if they work together for 1 day? =
28. 28.Priya works three times as fast as Isha. Together they finish a job in 7 days. How many days would Isha take alone?
29. 29.Saanvi works twice as fast as Tara. Together they finish a job in 7 days. How many days would Tara take alone?
30. 30.Farhan can finish a job in 9 days and Meera in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
31. 31.Arjun can finish a job in 8 days and Zoya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
32. 32.Ananya and Ishaan together finish a job in 4 days. Ananya alone takes 8 days. How many days would Ishaan take alone?
33. 33.Vivaan works three times as fast as Ananya. Together they finish a job in 12 days. How many days would Ananya take alone?
34. 34.Diya can finish a job in 6 days and Nisha in 4 days. What fraction of the job do they finish if they work together for 2 days? =
35. 35.Diya and Aditya together finish a job in 2 days. Diya alone takes 3 days. How many days would Aditya take alone?
36. 36.Vivaan and Farhan together finish a job in 12 days. Vivaan alone takes 21 days. How many days would Farhan take alone?
37. 37.Ishaan can finish a job in 4 days and Dev in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
38. 38.Aarav can finish a job in 4 days and Priya in 18 days. Aarav works alone for 2 days and then stops. Priya finishes the rest. How many days does Priya take?
39. 39.Rahul can finish a job in 4 days and Saanvi in 24 days. Rahul works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
40. 40.Nisha and Tara together finish a job in 6 days. Nisha alone takes 18 days. How many days would Tara take alone?

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