Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 57 · 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.Manav works twice as fast as Farhan. Together they finish a job in 12 days. How many days would Farhan take alone?
2. 2.Isha can finish a job in 7 days and Rahul in 14 days. Isha works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?
3. 3.Meera and Rohan together finish a job in 2 days. Meera alone takes 3 days. How many days would Rohan take alone?
4. 4.Diya can finish a job in 8 days and Rahul in 18 days. Diya works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?
5. 5.Aarav works three times as fast as Meera. Together they finish a job in 8 days. How many days would Meera take alone?
6. 6.Isha and Kabir together finish a job in 3 days. Isha alone takes 6 days. How many days would Kabir take alone?
7. 7.Sneha can finish a job in 15 days and Zoya in 30 days. Sneha works alone for 2 days and then stops. Zoya finishes the rest. How many days does Zoya take?
8. 8.Manav and Rahul together finish a job in 4 days. Manav alone takes 8 days. How many days would Rahul take alone?
9. 9.Farhan and Nisha together finish a job in 3 days. Farhan alone takes 6 days. How many days would Nisha take alone?
10. 10.Arjun can finish a job in 16 days and Diya in 8 days. Arjun works alone for 10 days and then stops. Diya finishes the rest. How many days does Diya take?
11. 11.Diya and Rahul together finish a job in 20 days. Diya alone takes 28 days. How many days would Rahul take alone?
12. 12.Zoya can finish a job in 9 days and Dev in 18 days. Zoya works alone for 6 days and then stops. Dev finishes the rest. How many days does Dev take?
13. 13.Tara and Isha together finish a job in 2 days. Tara alone takes 4 days. How many days would Isha take alone?
14. 14.Nisha can finish a job in 5 days and Rahul in 10 days. Nisha works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
15. 15.Ananya can finish a job in 30 days and Nisha in 20 days. Ananya works alone for 9 days and then stops. Nisha finishes the rest. How many days does Nisha take?
16. 16.Sneha can finish a job in 8 days and Ananya in 24 days. Sneha works alone for 2 days and then stops. Ananya finishes the rest. How many days does Ananya take?
17. 17.Meera and Kabir together finish a job in 13 days. Meera alone takes 26 days. How many days would Kabir take alone?
18. 18.Kabir and Saanvi together finish a job in 12 days. Kabir alone takes 18 days. How many days would Saanvi take alone?
19. 19.Dev and Farhan together finish a job in 2 days. Dev alone takes 4 days. How many days would Farhan take alone?
20. 20.Isha and Rahul together finish a job in 18 days. Isha alone takes 30 days. How many days would Rahul take alone?
21. 21.Ishaan works twice as fast as Rohan. Together they finish a job in 7 days. How many days would Rohan take alone?
22. 22.Meera can finish a job in 30 days and Manav in 10 days. Meera works alone for 15 days and then stops. Manav finishes the rest. How many days does Manav take?
23. 23.Meera and Diya together finish a job in 2 days. Meera alone takes 3 days. How many days would Diya take alone?
24. 24.Farhan can finish a job in 4 days and Dev in 12 days. Farhan works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
25. 25.Rahul works three times as fast as Saanvi. Together they finish a job in 9 days. How many days would Saanvi take alone?
26. 26.Rohan can finish a job in 16 days and Priya in 4 days. What fraction of the job do they finish if they work together for 3 days? =
27. 27.Sneha can finish a job in 13 days and Arjun in 12 days. What fraction of the job do they finish if they work together for 1 day? =
28. 28.Vivaan works twice as fast as Meera. Together they finish a job in 2 days. How many days would Meera take alone?
29. 29.Farhan can finish a job in 27 days and Meera in 9 days. Farhan works alone for 6 days and then stops. Meera finishes the rest. How many days does Meera take?
30. 30.Tara works three times as fast as Saanvi. Together they finish a job in 6 days. How many days would Saanvi take alone?
31. 31.Aarav works twice as fast as Ananya. Together they finish a job in 4 days. How many days would Ananya take alone?
32. 32.Diya can finish a job in 2 days and Aarav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
33. 33.Vivaan can finish a job in 17 days and Farhan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
34. 34.Dev works three times as fast as Manav. Together they finish a job in 12 days. How many days would Manav take alone?
35. 35.Arjun works three times as fast as Aarav. Together they finish a job in 6 days. How many days would Aarav take alone?
36. 36.Meera and Isha together finish a job in 2 days. Meera alone takes 4 days. How many days would Isha take alone?
37. 37.Vivaan can finish a job in 17 days and Dev in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
38. 38.Rohan can finish a job in 12 days and Sneha in 10 days. Rohan works alone for 6 days and then stops. Sneha finishes the rest. How many days does Sneha take?
39. 39.Aditya can finish a job in 10 days and Kavya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
40. 40.Kabir and Ananya together finish a job in 2 days. Kabir alone takes 3 days. How many days would Ananya take alone?

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