Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 53 · 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.Kavya works twice as fast as Arjun. Together they finish a job in 6 days. How many days would Arjun take alone?
2. 2.Zoya can finish a job in 10 days and Ishaan in 5 days. Zoya works alone for 2 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
3. 3.Arjun works twice as fast as Diya. Together they finish a job in 6 days. How many days would Diya take alone?
4. 4.Saanvi can finish a job in 19 days and Karan in 10 days. What fraction of the job do they finish if they work together for 2 days? =
5. 5.Aditya works twice as fast as Meera. Together they finish a job in 10 days. How many days would Meera take alone?
6. 6.Dev can finish a job in 8 days and Priya in 16 days. Dev works alone for 5 days and then stops. Priya finishes the rest. How many days does Priya take?
7. 7.Ananya works twice as fast as Aarav. Together they finish a job in 6 days. How many days would Aarav take alone?
8. 8.Aditya and Nisha together finish a job in 3 days. Aditya alone takes 4 days. How many days would Nisha take alone?
9. 9.Aditya can finish a job in 8 days and Ananya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
10. 10.Arjun can finish a job in 14 days and Manav in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
11. 11.Aarav can finish a job in 3 days and Karan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
12. 12.Zoya and Isha together finish a job in 7 days. Zoya alone takes 14 days. How many days would Isha take alone?
13. 13.Ananya works three times as fast as Arjun. Together they finish a job in 3 days. How many days would Arjun take alone?
14. 14.Manav works three times as fast as Nisha. Together they finish a job in 5 days. How many days would Nisha take alone?
15. 15.Rahul can finish a job in 14 days and Aarav in 4 days. What fraction of the job do they finish if they work together for 2 days? =
16. 16.Meera can finish a job in 9 days and Kabir in 24 days. Meera works alone for 6 days and then stops. Kabir finishes the rest. How many days does Kabir take?
17. 17.Aditya can finish a job in 3 days and Diya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
18. 18.Ishaan can finish a job in 13 days and Meera in 11 days. What fraction of the job do they finish if they work together for 1 day? =
19. 19.Nisha can finish a job in 6 days and Kavya in 12 days. What fraction of the job do they finish if they work together for 2 days? =
20. 20.Tara can finish a job in 4 days and Sneha in 24 days. Tara works alone for 3 days and then stops. Sneha finishes the rest. How many days does Sneha take?
21. 21.Rohan works three times as fast as Aarav. Together they finish a job in 3 days. How many days would Aarav take alone?
22. 22.Ishaan works three times as fast as Isha. Together they finish a job in 7 days. How many days would Isha take alone?
23. 23.Aarav can finish a job in 8 days and Meera in 7 days. What fraction of the job do they finish if they work together for 3 days? =
24. 24.Manav can finish a job in 20 days and Karan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
25. 25.Dev and Kabir together finish a job in 15 days. Dev alone takes 20 days. How many days would Kabir take alone?
26. 26.Manav can finish a job in 9 days and Isha in 27 days. Manav works alone for 1 day and then stops. Isha finishes the rest. How many days does Isha take?
27. 27.Aarav can finish a job in 5 days and Dev in 15 days. What fraction of the job do they finish if they work together for 1 day? =
28. 28.Vivaan can finish a job in 20 days and Kabir in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
29. 29.Tara can finish a job in 8 days and Sneha in 20 days. What fraction of the job do they finish if they work together for 2 days? =
30. 30.Aarav works twice as fast as Vivaan. Together they finish a job in 3 days. How many days would Vivaan take alone?
31. 31.Priya and Farhan together finish a job in 3 days. Priya alone takes 6 days. How many days would Farhan take alone?
32. 32.Sneha can finish a job in 8 days and Aarav in 24 days. Sneha works alone for 1 day and then stops. Aarav finishes the rest. How many days does Aarav take?
33. 33.Manav can finish a job in 11 days and Aarav in 9 days. What fraction of the job do they finish if they work together for 1 day? =
34. 34.Karan works three times as fast as Ananya. Together they finish a job in 10 days. How many days would Ananya take alone?
35. 35.Ananya can finish a job in 9 days and Kabir in 20 days. What fraction of the job do they finish if they work together for 2 days? =
36. 36.Farhan can finish a job in 9 days and Vivaan in 19 days. What fraction of the job do they finish if they work together for 3 days? =
37. 37.Farhan and Sneha together finish a job in 10 days. Farhan alone takes 15 days. How many days would Sneha take alone?
38. 38.Diya can finish a job in 20 days and Kabir in 25 days. Diya works alone for 4 days and then stops. Kabir finishes the rest. How many days does Kabir take?
39. 39.Vivaan can finish a job in 20 days and Ishaan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
40. 40.Vivaan works twice as fast as Rohan. Together they finish a job in 9 days. How many days would Rohan take alone?

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