Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 450 · 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 19 days and Aditya in 7 days. What fraction of the job do they finish if they work together for 2 days? =
2. 2.Priya can finish a job in 8 days and Kavya in 14 days. What fraction of the job do they finish if they work together for 1 day? =
3. 3.Manav and Kabir together finish a job in 2 days. Manav alone takes 4 days. How many days would Kabir take alone?
4. 4.Saanvi works twice as fast as Tara. Together they finish a job in 7 days. How many days would Tara take alone?
5. 5.Rahul works twice as fast as Meera. Together they finish a job in 2 days. How many days would Meera take alone?
6. 6.Rohan and Zoya together finish a job in 3 days. Rohan alone takes 4 days. How many days would Zoya take alone?
7. 7.Farhan can finish a job in 10 days and Dev in 18 days. Farhan works alone for 5 days and then stops. Dev finishes the rest. How many days does Dev take?
8. 8.Manav can finish a job in 12 days and Farhan in 6 days. Manav works alone for 10 days and then stops. Farhan finishes the rest. How many days does Farhan take?
9. 9.Isha can finish a job in 9 days and Arjun in 20 days. What fraction of the job do they finish if they work together for 3 days? =
10. 10.Zoya can finish a job in 14 days and Arjun in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
11. 11.Sneha and Aditya together finish a job in 4 days. Sneha alone takes 20 days. How many days would Aditya take alone?
12. 12.Ananya works three times as fast as Farhan. Together they finish a job in 5 days. How many days would Farhan take alone?
13. 13.Vivaan can finish a job in 2 days and Kavya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
14. 14.Aarav can finish a job in 7 days and Rohan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
15. 15.Pooja works three times as fast as Zoya. Together they finish a job in 9 days. How many days would Zoya take alone?
16. 16.Manav and Sneha together finish a job in 4 days. Manav alone takes 5 days. How many days would Sneha take alone?
17. 17.Rohan and Farhan together finish a job in 2 days. Rohan alone takes 3 days. How many days would Farhan take alone?
18. 18.Sneha and Nisha together finish a job in 2 days. Sneha alone takes 4 days. How many days would Nisha take alone?
19. 19.Kavya can finish a job in 16 days and Nisha in 4 days. What fraction of the job do they finish if they work together for 3 days? =
20. 20.Ishaan can finish a job in 10 days and Aarav in 12 days. What fraction of the job do they finish if they work together for 2 days? =
21. 21.Dev can finish a job in 18 days and Aarav in 17 days. What fraction of the job do they finish if they work together for 3 days? =
22. 22.Aarav can finish a job in 9 days and Nisha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
23. 23.Dev and Karan together finish a job in 2 days. Dev alone takes 3 days. How many days would Karan take alone?
24. 24.Kavya can finish a job in 8 days and Arjun in 24 days. Kavya works alone for 1 day and then stops. Arjun finishes the rest. How many days does Arjun take?
25. 25.Ananya can finish a job in 5 days and Rohan in 17 days. What fraction of the job do they finish if they work together for 3 days? =
26. 26.Dev can finish a job in 6 days and Meera in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
27. 27.Ishaan works three times as fast as Rahul. Together they finish a job in 11 days. How many days would Rahul take alone?
28. 28.Vivaan and Rohan together finish a job in 9 days. Vivaan alone takes 10 days. How many days would Rohan take alone?
29. 29.Dev can finish a job in 21 days and Kavya in 18 days. Dev works alone for 14 days and then stops. Kavya finishes the rest. How many days does Kavya take?
30. 30.Nisha can finish a job in 5 days and Vivaan in 9 days. What fraction of the job do they finish if they work together for 1 day? =
31. 31.Manav can finish a job in 6 days and Diya in 16 days. What fraction of the job do they finish if they work together for 1 day? =
32. 32.Dev can finish a job in 16 days and Diya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
33. 33.Sneha and Kabir together finish a job in 18 days. Sneha alone takes 24 days. How many days would Kabir take alone?
34. 34.Pooja can finish a job in 25 days and Tara in 5 days. Pooja works alone for 15 days and then stops. Tara finishes the rest. How many days does Tara take?
35. 35.Karan works twice as fast as Diya. Together they finish a job in 10 days. How many days would Diya take alone?
36. 36.Diya can finish a job in 6 days and Aarav in 10 days. Diya works alone for 3 days and then stops. Aarav finishes the rest. How many days does Aarav take?
37. 37.Diya can finish a job in 18 days and Farhan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
38. 38.Ananya can finish a job in 5 days and Arjun in 11 days. What fraction of the job do they finish if they work together for 1 day? =
39. 39.Nisha can finish a job in 3 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. =
40. 40.Pooja and Aditya together finish a job in 8 days. Pooja alone takes 10 days. How many days would Aditya take alone?

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