Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 64 · 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.Dev and Saanvi together finish a job in 2 days. Dev alone takes 3 days. How many days would Saanvi take alone?
2. 2.Isha can finish a job in 18 days and Vivaan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
3. 3.Manav and Vivaan together finish a job in 2 days. Manav alone takes 3 days. How many days would Vivaan take alone?
4. 4.Diya works three times as fast as Isha. Together they finish a job in 11 days. How many days would Isha take alone?
5. 5.Tara can finish a job in 6 days and Karan in 8 days. Tara works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
6. 6.Meera can finish a job in 5 days and Sneha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
7. 7.Aditya can finish a job in 7 days and Saanvi in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
8. 8.Tara and Priya together finish a job in 7 days. Tara alone takes 8 days. How many days would Priya take alone?
9. 9.Kavya works three times as fast as Ishaan. Together they finish a job in 8 days. How many days would Ishaan take alone?
10. 10.Karan can finish a job in 13 days and Arjun in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
11. 11.Diya works twice as fast as Kavya. Together they finish a job in 6 days. How many days would Kavya take alone?
12. 12.Karan and Rahul together finish a job in 8 days. Karan alone takes 9 days. How many days would Rahul take alone?
13. 13.Kavya works twice as fast as Tara. Together they finish a job in 10 days. How many days would Tara take alone?
14. 14.Saanvi works three times as fast as Aditya. Together they finish a job in 8 days. How many days would Aditya take alone?
15. 15.Farhan can finish a job in 20 days and Aarav in 11 days. What fraction of the job do they finish if they work together for 1 day? =
16. 16.Arjun can finish a job in 4 days and Dev in 24 days. Arjun works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
17. 17.Diya works twice as fast as Rohan. Together they finish a job in 9 days. How many days would Rohan take alone?
18. 18.Priya and Vivaan together finish a job in 2 days. Priya alone takes 4 days. How many days would Vivaan take alone?
19. 19.Sneha can finish a job in 21 days and Kavya in 12 days. Sneha works alone for 7 days and then stops. Kavya finishes the rest. How many days does Kavya take?
20. 20.Kabir works twice as fast as Isha. Together they finish a job in 3 days. How many days would Isha take alone?
21. 21.Ishaan and Karan together finish a job in 4 days. Ishaan alone takes 20 days. How many days would Karan take alone?
22. 22.Ananya works twice as fast as Rahul. Together they finish a job in 9 days. How many days would Rahul take alone?
23. 23.Rahul works twice as fast as Meera. Together they finish a job in 10 days. How many days would Meera take alone?
24. 24.Rohan and Meera together finish a job in 16 days. Rohan alone takes 20 days. How many days would Meera take alone?
25. 25.Dev works three times as fast as Aarav. Together they finish a job in 5 days. How many days would Aarav take alone?
26. 26.Nisha works three times as fast as Farhan. Together they finish a job in 2 days. How many days would Farhan take alone?
27. 27.Saanvi works three times as fast as Diya. Together they finish a job in 5 days. How many days would Diya take alone?
28. 28.Saanvi can finish a job in 15 days and Karan in 7 days. What fraction of the job do they finish if they work together for 2 days? =
29. 29.Ananya can finish a job in 6 days and Nisha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
30. 30.Arjun can finish a job in 10 days and Tara in 14 days. What fraction of the job do they finish if they work together for 2 days? =
31. 31.Ishaan and Tara together finish a job in 4 days. Ishaan alone takes 5 days. How many days would Tara take alone?
32. 32.Saanvi can finish a job in 4 days and Ishaan in 8 days. Saanvi works alone for 3 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
33. 33.Saanvi can finish a job in 4 days and Kavya in 22 days. Saanvi works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?
34. 34.Ananya can finish a job in 8 days and Zoya in 20 days. Ananya works alone for 6 days and then stops. Zoya finishes the rest. How many days does Zoya take?
35. 35.Saanvi and Tara together finish a job in 4 days. Saanvi alone takes 8 days. How many days would Tara take alone?
36. 36.Rahul can finish a job in 19 days and Ishaan in 7 days. What fraction of the job do they finish if they work together for 1 day? =
37. 37.Rahul works twice as fast as Manav. Together they finish a job in 6 days. How many days would Manav take alone?
38. 38.Ananya can finish a job in 13 days and Meera in 26 days. Ananya works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
39. 39.Zoya works three times as fast as Ishaan. Together they finish a job in 7 days. How many days would Ishaan take alone?
40. 40.Aarav can finish a job in 9 days and Priya in 6 days. What fraction of the job do they finish if they work together for 2 days? =

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