Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 325 · 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.Tara works twice as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
2. 2.Ananya and Farhan together finish a job in 6 days. Ananya alone takes 7 days. How many days would Farhan take alone?
3. 3.Manav can finish a job in 17 days and Diya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
4. 4.Rahul and Zoya together finish a job in 15 days. Rahul alone takes 30 days. How many days would Zoya take alone?
5. 5.Aarav works three times as fast as Rahul. Together they finish a job in 6 days. How many days would Rahul take alone?
6. 6.Dev and Farhan together finish a job in 2 days. Dev alone takes 3 days. How many days would Farhan take alone?
7. 7.Saanvi can finish a job in 4 days and Meera in 20 days. Saanvi works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
8. 8.Farhan and Kavya together finish a job in 21 days. Farhan alone takes 28 days. How many days would Kavya take alone?
9. 9.Manav can finish a job in 3 days and Dev in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
10. 10.Ananya can finish a job in 10 days and Vivaan in 15 days. Ananya works alone for 8 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
11. 11.Priya can finish a job in 10 days and Rahul in 20 days. Priya works alone for 9 days and then stops. Rahul finishes the rest. How many days does Rahul take?
12. 12.Sneha can finish a job in 20 days and Meera in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
13. 13.Isha works twice as fast as Pooja. Together they finish a job in 7 days. How many days would Pooja take alone?
14. 14.Arjun and Ishaan together finish a job in 9 days. Arjun alone takes 12 days. How many days would Ishaan take alone?
15. 15.Saanvi works twice as fast as Sneha. Together they finish a job in 10 days. How many days would Sneha take alone?
16. 16.Dev can finish a job in 4 days and Isha in 8 days. Dev works alone for 1 day and then stops. Isha finishes the rest. How many days does Isha take?
17. 17.Zoya can finish a job in 6 days and Karan in 13 days. What fraction of the job do they finish if they work together for 2 days? =
18. 18.Arjun can finish a job in 11 days and Kabir in 22 days. Arjun works alone for 8 days and then stops. Kabir finishes the rest. How many days does Kabir take?
19. 19.Vivaan can finish a job in 8 days and Kabir in 13 days. What fraction of the job do they finish if they work together for 2 days? =
20. 20.Dev can finish a job in 19 days and Rahul in 17 days. What fraction of the job do they finish if they work together for 1 day? =
21. 21.Dev works twice as fast as Isha. Together they finish a job in 11 days. How many days would Isha take alone?
22. 22.Rohan can finish a job in 15 days and Kavya in 16 days. What fraction of the job do they finish if they work together for 3 days? =
23. 23.Manav works twice as fast as Aarav. Together they finish a job in 9 days. How many days would Aarav take alone?
24. 24.Meera and Saanvi together finish a job in 6 days. Meera alone takes 7 days. How many days would Saanvi take alone?
25. 25.Priya can finish a job in 4 days and Zoya in 24 days. Priya works alone for 2 days and then stops. Zoya finishes the rest. How many days does Zoya take?
26. 26.Farhan can finish a job in 5 days and Kabir in 10 days. Farhan works alone for 1 day and then stops. Kabir finishes the rest. How many days does Kabir take?
27. 27.Tara works three times as fast as Diya. Together they finish a job in 3 days. How many days would Diya take alone?
28. 28.Rohan works twice as fast as Manav. Together they finish a job in 11 days. How many days would Manav take alone?
29. 29.Tara can finish a job in 6 days and Priya in 18 days. What fraction of the job do they finish if they work together for 3 days? =
30. 30.Diya and Meera together finish a job in 5 days. Diya alone takes 6 days. How many days would Meera take alone?
31. 31.Aarav works twice as fast as Arjun. Together they finish a job in 6 days. How many days would Arjun take alone?
32. 32.Meera can finish a job in 10 days and Aarav in 25 days. Meera works alone for 6 days and then stops. Aarav finishes the rest. How many days does Aarav take?
33. 33.Karan can finish a job in 19 days and Zoya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
34. 34.Farhan works three times as fast as Saanvi. Together they finish a job in 10 days. How many days would Saanvi take alone?
35. 35.Aarav works three times as fast as Arjun. Together they finish a job in 7 days. How many days would Arjun take alone?
36. 36.Kabir can finish a job in 5 days and Vivaan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
37. 37.Sneha and Meera together finish a job in 14 days. Sneha alone takes 18 days. How many days would Meera take alone?
38. 38.Rohan can finish a job in 8 days and Ishaan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
39. 39.Dev can finish a job in 26 days and Arjun in 28 days. Dev works alone for 13 days and then stops. Arjun finishes the rest. How many days does Arjun take?
40. 40.Isha works three times as fast as Kavya. Together they finish a job in 5 days. How many days would Kavya take alone?

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