Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 187 · 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 6 days. How many days would Tara take alone?
2. 2.Rahul can finish a job in 8 days and Dev in 6 days. What fraction of the job do they finish if they work together for 1 day? =
3. 3.Pooja and Meera together finish a job in 4 days. Pooja alone takes 20 days. How many days would Meera take alone?
4. 4.Vivaan works three times as fast as Zoya. Together they finish a job in 3 days. How many days would Zoya take alone?
5. 5.Saanvi can finish a job in 7 days and Rahul in 8 days. What fraction of the job do they finish if they work together for 1 day? =
6. 6.Aarav can finish a job in 12 days and Karan in 21 days. Aarav works alone for 4 days and then stops. Karan finishes the rest. How many days does Karan take?
7. 7.Rahul can finish a job in 9 days and Rohan in 27 days. Rahul works alone for 7 days and then stops. Rohan finishes the rest. How many days does Rohan take?
8. 8.Isha can finish a job in 12 days and Priya in 27 days. Isha works alone for 4 days and then stops. Priya finishes the rest. How many days does Priya take?
9. 9.Saanvi can finish a job in 7 days and Dev in 5 days. What fraction of the job do they finish if they work together for 2 days? =
10. 10.Dev can finish a job in 10 days and Isha in 8 days. What fraction of the job do they finish if they work together for 3 days? =
11. 11.Sneha can finish a job in 15 days and Arjun in 18 days. What fraction of the job do they finish if they work together for 1 day? =
12. 12.Kabir and Rohan together finish a job in 12 days. Kabir alone takes 14 days. How many days would Rohan take alone?
13. 13.Aarav and Manav together finish a job in 4 days. Aarav alone takes 6 days. How many days would Manav take alone?
14. 14.Kabir and Farhan together finish a job in 8 days. Kabir alone takes 9 days. How many days would Farhan take alone?
15. 15.Rohan can finish a job in 12 days and Karan in 27 days. Rohan works alone for 8 days and then stops. Karan finishes the rest. How many days does Karan take?
16. 16.Pooja can finish a job in 5 days and Manav in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
17. 17.Rohan works twice as fast as Ishaan. Together they finish a job in 12 days. How many days would Ishaan take alone?
18. 18.Dev works three times as fast as Aarav. Together they finish a job in 5 days. How many days would Aarav take alone?
19. 19.Aditya can finish a job in 9 days and Ananya in 14 days. What fraction of the job do they finish if they work together for 2 days? =
20. 20.Nisha can finish a job in 19 days and Ananya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
21. 21.Priya can finish a job in 4 days and Tara in 24 days. Priya works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
22. 22.Rohan and Rahul together finish a job in 3 days. Rohan alone takes 4 days. How many days would Rahul take alone?
23. 23.Karan works three times as fast as Sneha. Together they finish a job in 5 days. How many days would Sneha take alone?
24. 24.Arjun can finish a job in 5 days and Manav in 7 days. What fraction of the job do they finish if they work together for 1 day? =
25. 25.Meera can finish a job in 4 days and Isha in 28 days. Meera works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
26. 26.Pooja and Diya together finish a job in 10 days. Pooja alone takes 14 days. How many days would Diya take alone?
27. 27.Tara works twice as fast as Diya. Together they finish a job in 12 days. How many days would Diya take alone?
28. 28.Aarav can finish a job in 17 days and Ishaan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
29. 29.Priya works three times as fast as Sneha. Together they finish a job in 3 days. How many days would Sneha take alone?
30. 30.Nisha works twice as fast as Aarav. Together they finish a job in 12 days. How many days would Aarav take alone?
31. 31.Kabir can finish a job in 12 days and Dev in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
32. 32.Aditya can finish a job in 4 days and Diya in 20 days. Aditya works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
33. 33.Isha can finish a job in 20 days and Rohan in 7 days. What fraction of the job do they finish if they work together for 3 days? =
34. 34.Pooja can finish a job in 13 days and Farhan in 14 days. What fraction of the job do they finish if they work together for 3 days? =
35. 35.Aditya can finish a job in 8 days and Isha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
36. 36.Zoya and Diya together finish a job in 2 days. Zoya alone takes 3 days. How many days would Diya take alone?
37. 37.Karan and Meera together finish a job in 3 days. Karan alone takes 12 days. How many days would Meera take alone?
38. 38.Diya can finish a job in 4 days and Karan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
39. 39.Farhan and Rohan together finish a job in 8 days. Farhan alone takes 9 days. How many days would Rohan take alone?
40. 40.Aarav can finish a job in 6 days and Tara in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

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