Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 88 · 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 10 days and Dev in 11 days. What fraction of the job do they finish if they work together for 2 days? =
2. 2.Zoya can finish a job in 18 days and Pooja in 10 days. What fraction of the job do they finish if they work together for 3 days? =
3. 3.Meera and Saanvi together finish a job in 8 days. Meera alone takes 9 days. How many days would Saanvi take alone?
4. 4.Meera can finish a job in 5 days and Rahul in 10 days. Meera works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
5. 5.Aditya and Meera together finish a job in 3 days. Aditya alone takes 4 days. How many days would Meera take alone?
6. 6.Ananya and Ishaan together finish a job in 2 days. Ananya alone takes 4 days. How many days would Ishaan take alone?
7. 7.Arjun works three times as fast as Karan. Together they finish a job in 6 days. How many days would Karan take alone?
8. 8.Meera and Rahul together finish a job in 6 days. Meera alone takes 15 days. How many days would Rahul take alone?
9. 9.Diya works twice as fast as Ishaan. Together they finish a job in 4 days. How many days would Ishaan take alone?
10. 10.Rohan can finish a job in 4 days and Zoya in 28 days. Rohan works alone for 3 days and then stops. Zoya finishes the rest. How many days does Zoya take?
11. 11.Ananya can finish a job in 7 days and Nisha in 9 days. What fraction of the job do they finish if they work together for 1 day? =
12. 12.Sneha can finish a job in 7 days and Rohan in 28 days. Sneha works alone for 5 days and then stops. Rohan finishes the rest. How many days does Rohan take?
13. 13.Ishaan works three times as fast as Vivaan. Together they finish a job in 3 days. How many days would Vivaan take alone?
14. 14.Aditya can finish a job in 4 days and Dev in 24 days. Aditya works alone for 1 day and then stops. Dev finishes the rest. How many days does Dev take?
15. 15.Pooja can finish a job in 28 days and Saanvi in 22 days. Pooja works alone for 14 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
16. 16.Arjun can finish a job in 26 days and Priya in 10 days. Arjun works alone for 13 days and then stops. Priya finishes the rest. How many days does Priya take?
17. 17.Farhan can finish a job in 7 days and Rohan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
18. 18.Priya works twice as fast as Pooja. Together they finish a job in 3 days. How many days would Pooja take alone?
19. 19.Rahul can finish a job in 8 days and Meera in 24 days. Rahul works alone for 5 days and then stops. Meera finishes the rest. How many days does Meera take?
20. 20.Isha works twice as fast as Arjun. Together they finish a job in 4 days. How many days would Arjun take alone?
21. 21.Kabir can finish a job in 6 days and Ishaan in 22 days. Kabir works alone for 3 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
22. 22.Nisha can finish a job in 16 days and Sneha in 12 days. What fraction of the job do they finish if they work together for 3 days? =
23. 23.Aarav can finish a job in 22 days and Dev in 11 days. Aarav works alone for 12 days and then stops. Dev finishes the rest. How many days does Dev take?
24. 24.Ishaan can finish a job in 3 days and Diya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
25. 25.Kavya and Nisha together finish a job in 4 days. Kavya alone takes 8 days. How many days would Nisha take alone?
26. 26.Saanvi can finish a job in 4 days and Arjun in 20 days. Saanvi works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
27. 27.Aditya can finish a job in 6 days and Kabir in 4 days. What fraction of the job do they finish if they work together for 2 days? =
28. 28.Kabir can finish a job in 20 days and Rahul in 17 days. What fraction of the job do they finish if they work together for 3 days? =
29. 29.Aditya can finish a job in 5 days and Manav in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
30. 30.Nisha works twice as fast as Pooja. Together they finish a job in 11 days. How many days would Pooja take alone?
31. 31.Rohan can finish a job in 11 days and Isha in 9 days. What fraction of the job do they finish if they work together for 1 day? =
32. 32.Isha can finish a job in 10 days and Diya in 19 days. What fraction of the job do they finish if they work together for 3 days? =
33. 33.Aditya can finish a job in 10 days and Vivaan in 20 days. Aditya works alone for 8 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
34. 34.Dev can finish a job in 7 days and Rohan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
35. 35.Sneha works three times as fast as Dev. Together they finish a job in 12 days. How many days would Dev take alone?
36. 36.Ananya can finish a job in 9 days and Farhan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
37. 37.Tara can finish a job in 4 days and Aarav in 13 days. What fraction of the job do they finish if they work together for 3 days? =
38. 38.Kabir and Priya together finish a job in 6 days. Kabir alone takes 9 days. How many days would Priya take alone?
39. 39.Priya and Karan together finish a job in 12 days. Priya alone takes 21 days. How many days would Karan take alone?
40. 40.Rohan can finish a job in 7 days and Tara in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

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