Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 167 · 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.Priya can finish a job in 12 days and Rohan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
2. 2.Nisha works three times as fast as Dev. Together they finish a job in 2 days. How many days would Dev take alone?
3. 3.Diya can finish a job in 10 days and Priya in 7 days. What fraction of the job do they finish if they work together for 3 days? =
4. 4.Sneha can finish a job in 6 days and Aditya in 24 days. Sneha works alone for 4 days and then stops. Aditya finishes the rest. How many days does Aditya take?
5. 5.Ananya and Aarav together finish a job in 2 days. Ananya alone takes 3 days. How many days would Aarav take alone?
6. 6.Meera can finish a job in 5 days and Ananya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
7. 7.Arjun works twice as fast as Rahul. Together they finish a job in 2 days. How many days would Rahul take alone?
8. 8.Karan works twice as fast as Kavya. Together they finish a job in 3 days. How many days would Kavya take alone?
9. 9.Vivaan and Meera together finish a job in 5 days. Vivaan alone takes 10 days. How many days would Meera take alone?
10. 10.Tara works three times as fast as Aditya. Together they finish a job in 4 days. How many days would Aditya take alone?
11. 11.Zoya can finish a job in 10 days and Aditya in 8 days. What fraction of the job do they finish if they work together for 2 days? =
12. 12.Aditya works three times as fast as Kavya. Together they finish a job in 12 days. How many days would Kavya take alone?
13. 13.Karan works three times as fast as Sneha. Together they finish a job in 12 days. How many days would Sneha take alone?
14. 14.Farhan can finish a job in 15 days and Aditya in 7 days. What fraction of the job do they finish if they work together for 2 days? =
15. 15.Diya and Kabir together finish a job in 6 days. Diya alone takes 18 days. How many days would Kabir take alone?
16. 16.Rohan can finish a job in 18 days and Sneha in 21 days. Rohan works alone for 12 days and then stops. Sneha finishes the rest. How many days does Sneha take?
17. 17.Aditya and Rohan together finish a job in 4 days. Aditya alone takes 5 days. How many days would Rohan take alone?
18. 18.Ananya and Kavya together finish a job in 2 days. Ananya alone takes 3 days. How many days would Kavya take alone?
19. 19.Saanvi can finish a job in 7 days and Kavya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
20. 20.Manav and Farhan together finish a job in 6 days. Manav alone takes 7 days. How many days would Farhan take alone?
21. 21.Meera can finish a job in 12 days and Saanvi in 9 days. What fraction of the job do they finish if they work together for 3 days? =
22. 22.Diya and Aarav together finish a job in 5 days. Diya alone takes 10 days. How many days would Aarav take alone?
23. 23.Ishaan can finish a job in 15 days and Kabir in 5 days. Ishaan works alone for 3 days and then stops. Kabir finishes the rest. How many days does Kabir take?
24. 24.Zoya can finish a job in 18 days and Ananya in 9 days. Zoya works alone for 6 days and then stops. Ananya finishes the rest. How many days does Ananya take?
25. 25.Diya can finish a job in 8 days and Nisha in 5 days. What fraction of the job do they finish if they work together for 3 days? =
26. 26.Aarav can finish a job in 19 days and Karan in 12 days. What fraction of the job do they finish if they work together for 3 days? =
27. 27.Meera can finish a job in 25 days and Aditya in 15 days. Meera works alone for 15 days and then stops. Aditya finishes the rest. How many days does Aditya take?
28. 28.Diya can finish a job in 5 days and Arjun in 10 days. Diya works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?
29. 29.Tara and Aarav together finish a job in 2 days. Tara alone takes 3 days. How many days would Aarav take alone?
30. 30.Arjun and Kavya together finish a job in 4 days. Arjun alone takes 8 days. How many days would Kavya take alone?
31. 31.Farhan works twice as fast as Pooja. Together they finish a job in 7 days. How many days would Pooja take alone?
32. 32.Diya can finish a job in 7 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. =
33. 33.Saanvi can finish a job in 5 days and Isha in 25 days. Saanvi works alone for 1 day and then stops. Isha finishes the rest. How many days does Isha take?
34. 34.Nisha works three times as fast as Zoya. Together they finish a job in 5 days. How many days would Zoya take alone?
35. 35.Zoya works three times as fast as Vivaan. Together they finish a job in 10 days. How many days would Vivaan take alone?
36. 36.Kavya and Aditya together finish a job in 2 days. Kavya alone takes 4 days. How many days would Aditya take alone?
37. 37.Aarav works three times as fast as Priya. Together they finish a job in 10 days. How many days would Priya take alone?
38. 38.Ananya can finish a job in 4 days and Isha in 28 days. Ananya works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
39. 39.Diya and Saanvi together finish a job in 6 days. Diya alone takes 8 days. How many days would Saanvi take alone?
40. 40.Priya can finish a job in 5 days and Dev in 11 days. What fraction of the job do they finish if they work together for 3 days? =

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