Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 410 · 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.Pooja can finish a job in 28 days and Rohan in 24 days. Pooja works alone for 7 days and then stops. Rohan finishes the rest. How many days does Rohan take?
2. 2.Kavya can finish a job in 10 days and Arjun in 8 days. Kavya works alone for 5 days and then stops. Arjun finishes the rest. How many days does Arjun take?
3. 3.Priya works three times as fast as Arjun. Together they finish a job in 2 days. How many days would Arjun take alone?
4. 4.Kavya can finish a job in 11 days and Dev in 17 days. What fraction of the job do they finish if they work together for 1 day? =
5. 5.Rahul works three times as fast as Ananya. Together they finish a job in 5 days. How many days would Ananya take alone?
6. 6.Ananya can finish a job in 22 days and Ishaan in 11 days. Ananya works alone for 2 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
7. 7.Arjun and Farhan together finish a job in 2 days. Arjun alone takes 3 days. How many days would Farhan take alone?
8. 8.Rahul works twice as fast as Vivaan. Together they finish a job in 6 days. How many days would Vivaan take alone?
9. 9.Pooja can finish a job in 5 days and Meera in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
10. 10.Nisha can finish a job in 3 days and Arjun in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
11. 11.Tara can finish a job in 5 days and Rohan in 20 days. Tara works alone for 1 day and then stops. Rohan finishes the rest. How many days does Rohan take?
12. 12.Karan works twice as fast as Rohan. Together they finish a job in 11 days. How many days would Rohan take alone?
13. 13.Isha and Farhan together finish a job in 15 days. Isha alone takes 24 days. How many days would Farhan take alone?
14. 14.Dev and Zoya together finish a job in 12 days. Dev alone takes 15 days. How many days would Zoya take alone?
15. 15.Isha and Farhan together finish a job in 5 days. Isha alone takes 10 days. How many days would Farhan take alone?
16. 16.Aditya can finish a job in 5 days and Rahul in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
17. 17.Rahul works three times as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
18. 18.Dev and Karan together finish a job in 2 days. Dev alone takes 4 days. How many days would Karan take alone?
19. 19.Aditya and Ananya together finish a job in 6 days. Aditya alone takes 8 days. How many days would Ananya take alone?
20. 20.Karan works twice as fast as Ishaan. Together they finish a job in 3 days. How many days would Ishaan take alone?
21. 21.Arjun works twice as fast as Ananya. Together they finish a job in 11 days. How many days would Ananya take alone?
22. 22.Dev can finish a job in 8 days and Karan in 20 days. What fraction of the job do they finish if they work together for 2 days? =
23. 23.Nisha can finish a job in 6 days and Diya in 15 days. Nisha works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
24. 24.Tara can finish a job in 16 days and Rahul in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
25. 25.Arjun works three times as fast as Farhan. Together they finish a job in 4 days. How many days would Farhan take alone?
26. 26.Aditya and Zoya together finish a job in 2 days. Aditya alone takes 3 days. How many days would Zoya take alone?
27. 27.Isha can finish a job in 4 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. =
28. 28.Rahul works twice as fast as Karan. Together they finish a job in 6 days. How many days would Karan take alone?
29. 29.Rohan works twice as fast as Dev. Together they finish a job in 11 days. How many days would Dev take alone?
30. 30.Pooja and Aditya together finish a job in 20 days. Pooja alone takes 30 days. How many days would Aditya take alone?
31. 31.Vivaan works three times as fast as Kabir. Together they finish a job in 10 days. How many days would Kabir take alone?
32. 32.Saanvi can finish a job in 26 days and Arjun in 13 days. Saanvi works alone for 24 days and then stops. Arjun finishes the rest. How many days does Arjun take?
33. 33.Kavya can finish a job in 16 days and Aditya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
34. 34.Meera and Ananya together finish a job in 8 days. Meera alone takes 10 days. How many days would Ananya take alone?
35. 35.Karan can finish a job in 14 days and Tara in 7 days. Karan works alone for 12 days and then stops. Tara finishes the rest. How many days does Tara take?
36. 36.Saanvi can finish a job in 14 days and Manav in 11 days. What fraction of the job do they finish if they work together for 3 days? =
37. 37.Manav can finish a job in 4 days and Kabir in 26 days. Manav works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
38. 38.Nisha can finish a job in 14 days and Diya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
39. 39.Ananya works three times as fast as Karan. Together they finish a job in 7 days. How many days would Karan take alone?
40. 40.Rahul can finish a job in 14 days and Priya in 30 days. Rahul works alone for 7 days and then stops. Priya finishes the rest. How many days does Priya take?

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