Time and Work Worksheet

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

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