Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 372 · 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.Ishaan can finish a job in 3 days and Karan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
2. 2.Rohan works three times as fast as Nisha. Together they finish a job in 9 days. How many days would Nisha take alone?
3. 3.Dev and Arjun together finish a job in 8 days. Dev alone takes 12 days. How many days would Arjun take alone?
4. 4.Vivaan works three times as fast as Isha. Together they finish a job in 10 days. How many days would Isha take alone?
5. 5.Aarav works three times as fast as Vivaan. Together they finish a job in 2 days. How many days would Vivaan take alone?
6. 6.Dev works twice as fast as Manav. Together they finish a job in 9 days. How many days would Manav take alone?
7. 7.Sneha and Aarav together finish a job in 4 days. Sneha alone takes 20 days. How many days would Aarav take alone?
8. 8.Ishaan works twice as fast as Kavya. Together they finish a job in 9 days. How many days would Kavya take alone?
9. 9.Priya and Ishaan together finish a job in 6 days. Priya alone takes 9 days. How many days would Ishaan take alone?
10. 10.Rohan and Rahul together finish a job in 10 days. Rohan alone takes 12 days. How many days would Rahul take alone?
11. 11.Priya and Sneha together finish a job in 5 days. Priya alone takes 6 days. How many days would Sneha take alone?
12. 12.Sneha can finish a job in 20 days and Farhan in 17 days. What fraction of the job do they finish if they work together for 1 day? =
13. 13.Meera can finish a job in 9 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.Ishaan can finish a job in 11 days and Isha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
15. 15.Karan can finish a job in 5 days and Meera in 10 days. Karan works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
16. 16.Aarav can finish a job in 6 days and Tara in 12 days. Aarav works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
17. 17.Diya can finish a job in 4 days and Kabir in 8 days. Diya works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
18. 18.Isha can finish a job in 18 days and Diya in 8 days. What fraction of the job do they finish if they work together for 1 day? =
19. 19.Diya works three times as fast as Aarav. Together they finish a job in 10 days. How many days would Aarav take alone?
20. 20.Zoya can finish a job in 30 days and Ishaan in 24 days. Zoya works alone for 20 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
21. 21.Aditya can finish a job in 18 days and Diya in 15 days. What fraction of the job do they finish if they work together for 2 days? =
22. 22.Priya can finish a job in 12 days and Aditya in 15 days. Priya works alone for 4 days and then stops. Aditya finishes the rest. How many days does Aditya take?
23. 23.Ananya can finish a job in 6 days and Diya in 30 days. Ananya works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
24. 24.Manav can finish a job in 12 days and Rohan in 7 days. What fraction of the job do they finish if they work together for 3 days? =
25. 25.Rahul can finish a job in 16 days and Manav in 4 days. What fraction of the job do they finish if they work together for 2 days? =
26. 26.Saanvi can finish a job in 9 days and Rohan in 4 days. What fraction of the job do they finish if they work together for 1 day? =
27. 27.Vivaan can finish a job in 13 days and Dev in 6 days. What fraction of the job do they finish if they work together for 1 day? =
28. 28.Meera can finish a job in 7 days and Rohan in 21 days. Meera works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
29. 29.Kabir and Diya together finish a job in 6 days. Kabir alone takes 10 days. How many days would Diya take alone?
30. 30.Arjun can finish a job in 11 days and Aarav in 5 days. What fraction of the job do they finish if they work together for 1 day? =
31. 31.Vivaan can finish a job in 13 days and Arjun in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
32. 32.Farhan and Ishaan together finish a job in 7 days. Farhan alone takes 8 days. How many days would Ishaan take alone?
33. 33.Aarav can finish a job in 4 days and Zoya in 24 days. Aarav works alone for 1 day and then stops. Zoya finishes the rest. How many days does Zoya take?
34. 34.Sneha works twice as fast as Aditya. Together they finish a job in 2 days. How many days would Aditya take alone?
35. 35.Nisha can finish a job in 14 days and Rohan in 17 days. What fraction of the job do they finish if they work together for 1 day? =
36. 36.Meera and Arjun together finish a job in 4 days. Meera alone takes 5 days. How many days would Arjun take alone?
37. 37.Diya and Tara together finish a job in 2 days. Diya alone takes 4 days. How many days would Tara take alone?
38. 38.Zoya can finish a job in 9 days and Diya in 10 days. What fraction of the job do they finish if they work together for 1 day? =
39. 39.Isha and Rahul together finish a job in 8 days. Isha alone takes 10 days. How many days would Rahul take alone?
40. 40.Diya can finish a job in 21 days and Rohan in 28 days. Diya works alone for 12 days and then stops. Rohan finishes the rest. How many days does Rohan take?

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