Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 399 · 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.Aditya and Isha together finish a job in 2 days. Aditya alone takes 3 days. How many days would Isha take alone?
2. 2.Rahul works twice as fast as Aditya. Together they finish a job in 2 days. How many days would Aditya take alone?
3. 3.Pooja and Zoya together finish a job in 4 days. Pooja alone takes 12 days. How many days would Zoya take alone?
4. 4.Tara can finish a job in 18 days and Kabir in 6 days. Tara works alone for 12 days and then stops. Kabir finishes the rest. How many days does Kabir take?
5. 5.Kabir can finish a job in 6 days and Arjun in 12 days. Kabir works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
6. 6.Diya can finish a job in 9 days and Meera in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
7. 7.Rahul and Tara together finish a job in 2 days. Rahul alone takes 4 days. How many days would Tara take alone?
8. 8.Meera can finish a job in 6 days and Rahul in 20 days. What fraction of the job do they finish if they work together for 3 days? =
9. 9.Karan and Kavya together finish a job in 18 days. Karan alone takes 27 days. How many days would Kavya take alone?
10. 10.Rahul can finish a job in 3 days and Saanvi in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
11. 11.Aditya can finish a job in 13 days and Pooja in 10 days. What fraction of the job do they finish if they work together for 1 day? =
12. 12.Manav can finish a job in 8 days and Ananya in 6 days. Manav works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?
13. 13.Ishaan works twice as fast as Aditya. Together they finish a job in 11 days. How many days would Aditya take alone?
14. 14.Tara and Diya together finish a job in 3 days. Tara alone takes 4 days. How many days would Diya take alone?
15. 15.Pooja works twice as fast as Meera. Together they finish a job in 9 days. How many days would Meera take alone?
16. 16.Kavya works twice as fast as Manav. Together they finish a job in 4 days. How many days would Manav take alone?
17. 17.Diya and Tara together finish a job in 2 days. Diya alone takes 3 days. How many days would Tara take alone?
18. 18.Aarav and Saanvi together finish a job in 14 days. Aarav alone takes 18 days. How many days would Saanvi take alone?
19. 19.Ananya can finish a job in 6 days and Saanvi in 12 days. Ananya works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
20. 20.Dev and Pooja together finish a job in 6 days. Dev alone takes 9 days. How many days would Pooja take alone?
21. 21.Farhan can finish a job in 20 days and Kavya in 7 days. What fraction of the job do they finish if they work together for 1 day? =
22. 22.Rohan can finish a job in 18 days and Farhan in 6 days. Rohan works alone for 9 days and then stops. Farhan finishes the rest. How many days does Farhan take?
23. 23.Nisha works twice as fast as Manav. Together they finish a job in 8 days. How many days would Manav take alone?
24. 24.Diya can finish a job in 8 days and Meera in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
25. 25.Arjun works twice as fast as Isha. Together they finish a job in 12 days. How many days would Isha take alone?
26. 26.Diya can finish a job in 9 days and Manav in 18 days. Diya works alone for 8 days and then stops. Manav finishes the rest. How many days does Manav take?
27. 27.Karan can finish a job in 19 days and Ananya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
28. 28.Aditya can finish a job in 6 days and Kabir in 10 days. What fraction of the job do they finish if they work together for 3 days? =
29. 29.Diya can finish a job in 7 days and Kavya in 21 days. Diya works alone for 4 days and then stops. Kavya finishes the rest. How many days does Kavya take?
30. 30.Ananya can finish a job in 6 days and Kabir in 5 days. What fraction of the job do they finish if they work together for 2 days? =
31. 31.Pooja can finish a job in 10 days and Ananya in 5 days. Pooja works alone for 8 days and then stops. Ananya finishes the rest. How many days does Ananya take?
32. 32.Meera can finish a job in 12 days and Rohan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
33. 33.Arjun and Kabir together finish a job in 12 days. Arjun alone takes 30 days. How many days would Kabir take alone?
34. 34.Dev can finish a job in 10 days and Zoya in 30 days. Dev works alone for 2 days and then stops. Zoya finishes the rest. How many days does Zoya take?
35. 35.Ishaan can finish a job in 5 days and Rohan in 15 days. Ishaan works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
36. 36.Priya can finish a job in 14 days and Aditya in 16 days. What fraction of the job do they finish if they work together for 1 day? =
37. 37.Aditya can finish a job in 7 days and Saanvi in 28 days. Aditya works alone for 6 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
38. 38.Dev and Farhan together finish a job in 4 days. Dev alone takes 5 days. How many days would Farhan take alone?
39. 39.Farhan can finish a job in 10 days and Meera in 20 days. Farhan works alone for 5 days and then stops. Meera finishes the rest. How many days does Meera take?
40. 40.Isha and Aarav together finish a job in 18 days. Isha alone takes 27 days. How many days would Aarav take alone?

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