Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 256 · 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.Tara can finish a job in 24 days and Arjun in 16 days. Tara works alone for 18 days and then stops. Arjun finishes the rest. How many days does Arjun take?
2. 2.Vivaan and Nisha together finish a job in 5 days. Vivaan alone takes 6 days. How many days would Nisha take alone?
3. 3.Tara and Farhan together finish a job in 4 days. Tara alone takes 5 days. How many days would Farhan take alone?
4. 4.Diya can finish a job in 19 days and Arjun in 4 days. What fraction of the job do they finish if they work together for 2 days? =
5. 5.Diya can finish a job in 6 days and Kavya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
6. 6.Meera can finish a job in 6 days and Isha in 5 days. What fraction of the job do they finish if they work together for 2 days? =
7. 7.Meera works twice as fast as Rohan. Together they finish a job in 12 days. How many days would Rohan take alone?
8. 8.Dev and Saanvi together finish a job in 8 days. Dev alone takes 9 days. How many days would Saanvi take alone?
9. 9.Zoya works twice as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
10. 10.Aarav and Pooja together finish a job in 5 days. Aarav alone takes 6 days. How many days would Pooja take alone?
11. 11.Isha can finish a job in 4 days and Saanvi in 28 days. Isha works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
12. 12.Karan can finish a job in 5 days and Diya in 7 days. What fraction of the job do they finish if they work together for 2 days? =
13. 13.Tara works three times as fast as Zoya. Together they finish a job in 8 days. How many days would Zoya take alone?
14. 14.Farhan can finish a job in 3 days and Saanvi in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
15. 15.Rohan can finish a job in 11 days and Sneha in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
16. 16.Isha can finish a job in 11 days and Manav in 20 days. What fraction of the job do they finish if they work together for 1 day? =
17. 17.Rohan can finish a job in 17 days and Arjun in 14 days. What fraction of the job do they finish if they work together for 1 day? =
18. 18.Kavya can finish a job in 6 days and Kabir in 12 days. Kavya works alone for 5 days and then stops. Kabir finishes the rest. How many days does Kabir take?
19. 19.Kabir works twice as fast as Kavya. Together they finish a job in 8 days. How many days would Kavya take alone?
20. 20.Aarav and Ishaan together finish a job in 11 days. Aarav alone takes 22 days. How many days would Ishaan take alone?
21. 21.Tara and Arjun together finish a job in 3 days. Tara alone takes 4 days. How many days would Arjun take alone?
22. 22.Manav can finish a job in 20 days and Rahul in 5 days. Manav works alone for 12 days and then stops. Rahul finishes the rest. How many days does Rahul take?
23. 23.Ishaan can finish a job in 19 days and Farhan in 5 days. What fraction of the job do they finish if they work together for 2 days? =
24. 24.Saanvi can finish a job in 8 days and Ishaan in 14 days. What fraction of the job do they finish if they work together for 2 days? =
25. 25.Ishaan can finish a job in 5 days and Diya in 30 days. Ishaan works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
26. 26.Aarav works three times as fast as Diya. Together they finish a job in 9 days. How many days would Diya take alone?
27. 27.Arjun can finish a job in 17 days and Tara in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
28. 28.Ananya works twice as fast as Kavya. Together they finish a job in 7 days. How many days would Kavya take alone?
29. 29.Rohan and Manav together finish a job in 18 days. Rohan alone takes 27 days. How many days would Manav take alone?
30. 30.Kavya can finish a job in 6 days and Nisha in 4 days. What fraction of the job do they finish if they work together for 1 day? =
31. 31.Zoya can finish a job in 10 days and Isha in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
32. 32.Kabir can finish a job in 10 days and Sneha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
33. 33.Aditya works twice as fast as Meera. Together they finish a job in 2 days. How many days would Meera take alone?
34. 34.Rohan works three times as fast as Arjun. Together they finish a job in 5 days. How many days would Arjun take alone?
35. 35.Saanvi can finish a job in 4 days and Farhan in 24 days. Saanvi works alone for 1 day and then stops. Farhan finishes the rest. How many days does Farhan take?
36. 36.Kabir can finish a job in 18 days and Zoya in 11 days. What fraction of the job do they finish if they work together for 1 day? =
37. 37.Aarav works twice as fast as Arjun. Together they finish a job in 3 days. How many days would Arjun take alone?
38. 38.Rahul can finish a job in 18 days and Vivaan in 13 days. What fraction of the job do they finish if they work together for 2 days? =
39. 39.Rahul can finish a job in 9 days and Manav in 18 days. Rahul works alone for 1 day and then stops. Manav finishes the rest. How many days does Manav take?
40. 40.Rohan can finish a job in 12 days and Karan in 14 days. What fraction of the job do they finish if they work together for 2 days? =

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