Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 250 · 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.Diya can finish a job in 19 days and Meera in 11 days. What fraction of the job do they finish if they work together for 1 day? =
2. 2.Manav and Rahul together finish a job in 6 days. Manav alone takes 10 days. How many days would Rahul take alone?
3. 3.Dev can finish a job in 15 days and Zoya in 8 days. What fraction of the job do they finish if they work together for 3 days? =
4. 4.Tara can finish a job in 28 days and Aarav in 14 days. Tara works alone for 6 days and then stops. Aarav finishes the rest. How many days does Aarav take?
5. 5.Karan works twice as fast as Aditya. Together they finish a job in 12 days. How many days would Aditya take alone?
6. 6.Sneha can finish a job in 15 days and Aarav in 12 days. What fraction of the job do they finish if they work together for 3 days? =
7. 7.Kabir can finish a job in 15 days and Sneha in 30 days. Kabir works alone for 5 days and then stops. Sneha finishes the rest. How many days does Sneha take?
8. 8.Arjun can finish a job in 9 days and Ananya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
9. 9.Sneha can finish a job in 13 days and Dev in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
10. 10.Diya can finish a job in 6 days and Kabir in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
11. 11.Rohan and Kabir together finish a job in 3 days. Rohan alone takes 6 days. How many days would Kabir take alone?
12. 12.Vivaan can finish a job in 15 days and Diya in 18 days. Vivaan works alone for 5 days and then stops. Diya finishes the rest. How many days does Diya take?
13. 13.Rohan can finish a job in 19 days and Diya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
14. 14.Aditya and Nisha together finish a job in 15 days. Aditya alone takes 18 days. How many days would Nisha take alone?
15. 15.Ananya can finish a job in 3 days and Rahul in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
16. 16.Karan can finish a job in 16 days and Rahul in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
17. 17.Priya and Tara together finish a job in 2 days. Priya alone takes 3 days. How many days would Tara take alone?
18. 18.Arjun and Meera together finish a job in 2 days. Arjun alone takes 3 days. How many days would Meera take alone?
19. 19.Dev works twice as fast as Rahul. Together they finish a job in 12 days. How many days would Rahul take alone?
20. 20.Arjun and Zoya together finish a job in 6 days. Arjun alone takes 8 days. How many days would Zoya take alone?
21. 21.Rohan can finish a job in 6 days and Manav in 21 days. Rohan works alone for 4 days and then stops. Manav finishes the rest. How many days does Manav take?
22. 22.Karan and Priya together finish a job in 9 days. Karan alone takes 10 days. How many days would Priya take alone?
23. 23.Aditya can finish a job in 9 days and Farhan in 19 days. What fraction of the job do they finish if they work together for 2 days? =
24. 24.Rohan works twice as fast as Saanvi. Together they finish a job in 6 days. How many days would Saanvi take alone?
25. 25.Vivaan works three times as fast as Nisha. Together they finish a job in 10 days. How many days would Nisha take alone?
26. 26.Rahul can finish a job in 12 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. =
27. 27.Aarav can finish a job in 9 days and Rohan in 10 days. What fraction of the job do they finish if they work together for 2 days? =
28. 28.Zoya works twice as fast as Tara. Together they finish a job in 6 days. How many days would Tara take alone?
29. 29.Tara can finish a job in 13 days and Saanvi in 26 days. Tara works alone for 7 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
30. 30.Ananya can finish a job in 12 days and Kabir in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
31. 31.Karan and Ananya together finish a job in 10 days. Karan alone takes 15 days. How many days would Ananya take alone?
32. 32.Arjun can finish a job in 8 days and Tara in 28 days. Arjun works alone for 6 days and then stops. Tara finishes the rest. How many days does Tara take?
33. 33.Priya and Kabir together finish a job in 2 days. Priya alone takes 6 days. How many days would Kabir take alone?
34. 34.Kavya can finish a job in 10 days and Nisha in 30 days. Kavya works alone for 5 days and then stops. Nisha finishes the rest. How many days does Nisha take?
35. 35.Dev can finish a job in 15 days and Rahul in 5 days. What fraction of the job do they finish if they work together for 2 days? =
36. 36.Rahul can finish a job in 6 days and Kavya in 19 days. What fraction of the job do they finish if they work together for 2 days? =
37. 37.Priya can finish a job in 7 days and Karan in 14 days. Priya works alone for 4 days and then stops. Karan finishes the rest. How many days does Karan take?
38. 38.Diya works three times as fast as Zoya. Together they finish a job in 8 days. How many days would Zoya take alone?
39. 39.Saanvi and Pooja together finish a job in 2 days. Saanvi alone takes 4 days. How many days would Pooja take alone?
40. 40.Zoya works twice as fast as Diya. Together they finish a job in 11 days. How many days would Diya take alone?

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