Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 384 · 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 can finish a job in 7 days and Ishaan in 5 days. What fraction of the job do they finish if they work together for 2 days? =
2. 2.Aarav and Aditya together finish a job in 2 days. Aarav alone takes 3 days. How many days would Aditya take alone?
3. 3.Ananya can finish a job in 4 days and Aarav in 8 days. Ananya works alone for 3 days and then stops. Aarav finishes the rest. How many days does Aarav take?
4. 4.Rohan can finish a job in 9 days and Ananya in 15 days. Rohan works alone for 6 days and then stops. Ananya finishes the rest. How many days does Ananya take?
5. 5.Diya and Meera together finish a job in 5 days. Diya alone takes 6 days. How many days would Meera take alone?
6. 6.Tara works twice as fast as Priya. Together they finish a job in 11 days. How many days would Priya take alone?
7. 7.Manav and Isha together finish a job in 2 days. Manav alone takes 4 days. How many days would Isha take alone?
8. 8.Priya can finish a job in 20 days and Rahul in 13 days. What fraction of the job do they finish if they work together for 3 days? =
9. 9.Vivaan works twice as fast as Rohan. Together they finish a job in 12 days. How many days would Rohan take alone?
10. 10.Arjun can finish a job in 19 days and Aarav in 6 days. What fraction of the job do they finish if they work together for 1 day? =
11. 11.Dev can finish a job in 12 days and Arjun in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
12. 12.Pooja can finish a job in 8 days and Aditya in 26 days. Pooja works alone for 4 days and then stops. Aditya finishes the rest. How many days does Aditya take?
13. 13.Isha can finish a job in 9 days and Rohan in 13 days. What fraction of the job do they finish if they work together for 3 days? =
14. 14.Zoya and Vivaan together finish a job in 3 days. Zoya alone takes 6 days. How many days would Vivaan take alone?
15. 15.Ishaan and Sneha together finish a job in 4 days. Ishaan alone takes 5 days. How many days would Sneha take alone?
16. 16.Aarav can finish a job in 18 days and Manav in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
17. 17.Priya can finish a job in 12 days and Kavya in 8 days. What fraction of the job do they finish if they work together for 1 day? =
18. 18.Dev can finish a job in 11 days and Ishaan in 16 days. What fraction of the job do they finish if they work together for 2 days? =
19. 19.Nisha can finish a job in 7 days and Diya in 28 days. Nisha works alone for 6 days and then stops. Diya finishes the rest. How many days does Diya take?
20. 20.Dev can finish a job in 6 days and Vivaan in 8 days. Dev works alone for 3 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
21. 21.Kavya can finish a job in 14 days and Isha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
22. 22.Pooja can finish a job in 5 days and Priya in 10 days. Pooja works alone for 2 days and then stops. Priya finishes the rest. How many days does Priya take?
23. 23.Rahul and Dev together finish a job in 15 days. Rahul alone takes 18 days. How many days would Dev take alone?
24. 24.Arjun and Ishaan together finish a job in 2 days. Arjun alone takes 6 days. How many days would Ishaan take alone?
25. 25.Rohan works twice as fast as Kavya. Together they finish a job in 9 days. How many days would Kavya take alone?
26. 26.Isha and Vivaan together finish a job in 2 days. Isha alone takes 4 days. How many days would Vivaan take alone?
27. 27.Tara can finish a job in 17 days and Kabir in 9 days. What fraction of the job do they finish if they work together for 2 days? =
28. 28.Kabir works three times as fast as Ananya. Together they finish a job in 10 days. How many days would Ananya take alone?
29. 29.Diya works twice as fast as Ananya. Together they finish a job in 8 days. How many days would Ananya take alone?
30. 30.Ishaan can finish a job in 19 days and Arjun in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
31. 31.Pooja can finish a job in 20 days and Meera in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
32. 32.Aarav can finish a job in 4 days and Tara in 24 days. Aarav works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
33. 33.Diya can finish a job in 5 days and Sneha in 11 days. What fraction of the job do they finish if they work together for 1 day? =
34. 34.Meera and Zoya together finish a job in 2 days. Meera alone takes 3 days. How many days would Zoya take alone?
35. 35.Pooja can finish a job in 4 days and Saanvi in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
36. 36.Arjun works twice as fast as Isha. Together they finish a job in 3 days. How many days would Isha take alone?
37. 37.Arjun and Aditya together finish a job in 4 days. Arjun alone takes 6 days. How many days would Aditya take alone?
38. 38.Diya works three times as fast as Meera. Together they finish a job in 12 days. How many days would Meera take alone?
39. 39.Isha can finish a job in 3 days and Aarav in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
40. 40.Ishaan and Rohan together finish a job in 2 days. Ishaan alone takes 3 days. How many days would Rohan take alone?

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