Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 300 · 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.Rahul and Tara together finish a job in 2 days. Rahul alone takes 3 days. How many days would Tara take alone?
2. 2.Manav can finish a job in 10 days and Pooja in 30 days. Manav works alone for 2 days and then stops. Pooja finishes the rest. How many days does Pooja take?
3. 3.Ananya can finish a job in 11 days and Isha in 15 days. What fraction of the job do they finish if they work together for 3 days? =
4. 4.Isha works twice as fast as Tara. Together they finish a job in 2 days. How many days would Tara take alone?
5. 5.Pooja and Karan together finish a job in 16 days. Pooja alone takes 24 days. How many days would Karan take alone?
6. 6.Aarav and Rohan together finish a job in 5 days. Aarav alone takes 6 days. How many days would Rohan take alone?
7. 7.Arjun can finish a job in 17 days and Farhan in 20 days. What fraction of the job do they finish if they work together for 3 days? =
8. 8.Dev works three times as fast as Meera. Together they finish a job in 6 days. How many days would Meera take alone?
9. 9.Ishaan can finish a job in 9 days and Isha in 6 days. What fraction of the job do they finish if they work together for 1 day? =
10. 10.Vivaan can finish a job in 15 days and Arjun in 30 days. Vivaan works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
11. 11.Sneha can finish a job in 8 days and Aarav in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
12. 12.Kabir can finish a job in 13 days and Arjun in 26 days. Kabir works alone for 9 days and then stops. Arjun finishes the rest. How many days does Arjun take?
13. 13.Kabir and Meera together finish a job in 6 days. Kabir alone takes 9 days. How many days would Meera take alone?
14. 14.Arjun works twice as fast as Kabir. Together they finish a job in 5 days. How many days would Kabir take alone?
15. 15.Sneha can finish a job in 4 days and Farhan in 20 days. Sneha works alone for 3 days and then stops. Farhan finishes the rest. How many days does Farhan take?
16. 16.Saanvi and Diya together finish a job in 6 days. Saanvi alone takes 7 days. How many days would Diya take alone?
17. 17.Arjun can finish a job in 20 days and Rahul in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
18. 18.Ananya works three times as fast as Ishaan. Together they finish a job in 10 days. How many days would Ishaan take alone?
19. 19.Manav can finish a job in 2 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. =
20. 20.Zoya can finish a job in 26 days and Nisha in 18 days. Zoya works alone for 13 days and then stops. Nisha finishes the rest. How many days does Nisha take?
21. 21.Dev can finish a job in 4 days and Pooja in 18 days. Dev works alone for 2 days and then stops. Pooja finishes the rest. How many days does Pooja take?
22. 22.Nisha can finish a job in 12 days and Manav in 6 days. Nisha works alone for 6 days and then stops. Manav finishes the rest. How many days does Manav take?
23. 23.Sneha works twice as fast as Aarav. Together they finish a job in 11 days. How many days would Aarav take alone?
24. 24.Pooja can finish a job in 4 days and Arjun in 18 days. Pooja works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
25. 25.Karan and Tara together finish a job in 2 days. Karan alone takes 3 days. How many days would Tara take alone?
26. 26.Arjun can finish a job in 6 days and Rahul in 18 days. What fraction of the job do they finish if they work together for 3 days? =
27. 27.Tara can finish a job in 18 days and Arjun in 16 days. What fraction of the job do they finish if they work together for 2 days? =
28. 28.Sneha can finish a job in 6 days and Manav in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
29. 29.Nisha can finish a job in 8 days and Aditya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
30. 30.Arjun and Vivaan together finish a job in 16 days. Arjun alone takes 20 days. How many days would Vivaan take alone?
31. 31.Diya can finish a job in 9 days and Priya in 20 days. What fraction of the job do they finish if they work together for 2 days? =
32. 32.Vivaan can finish a job in 15 days and Dev in 6 days. What fraction of the job do they finish if they work together for 3 days? =
33. 33.Manav can finish a job in 9 days and Dev in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
34. 34.Zoya and Vivaan together finish a job in 4 days. Zoya alone takes 5 days. How many days would Vivaan take alone?
35. 35.Meera works three times as fast as Saanvi. Together they finish a job in 2 days. How many days would Saanvi take alone?
36. 36.Karan can finish a job in 8 days and Diya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
37. 37.Rohan works twice as fast as Isha. Together they finish a job in 6 days. How many days would Isha take alone?
38. 38.Saanvi can finish a job in 13 days and Arjun in 7 days. What fraction of the job do they finish if they work together for 3 days? =
39. 39.Diya and Tara together finish a job in 12 days. Diya alone takes 20 days. How many days would Tara take alone?
40. 40.Rohan works three times as fast as Karan. Together they finish a job in 11 days. How many days would Karan take alone?

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