Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 436 · 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 15 days and Nisha in 30 days. Priya works alone for 7 days and then stops. Nisha finishes the rest. How many days does Nisha take?
2. 2.Aarav can finish a job in 12 days and Rohan in 20 days. Aarav works alone for 9 days and then stops. Rohan finishes the rest. How many days does Rohan take?
3. 3.Dev can finish a job in 20 days and Tara in 9 days. What fraction of the job do they finish if they work together for 3 days? =
4. 4.Ishaan can finish a job in 6 days and Meera in 18 days. What fraction of the job do they finish if they work together for 1 day? =
5. 5.Rohan works three times as fast as Kavya. Together they finish a job in 11 days. How many days would Kavya take alone?
6. 6.Ishaan can finish a job in 15 days and Pooja in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
7. 7.Karan works twice as fast as Manav. Together they finish a job in 12 days. How many days would Manav take alone?
8. 8.Pooja can finish a job in 18 days and Aarav in 12 days. What fraction of the job do they finish if they work together for 1 day? =
9. 9.Manav can finish a job in 20 days and Zoya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
10. 10.Arjun works three times as fast as Tara. Together they finish a job in 10 days. How many days would Tara take alone?
11. 11.Zoya can finish a job in 4 days and Vivaan in 5 days. What fraction of the job do they finish if they work together for 2 days? =
12. 12.Saanvi can finish a job in 11 days and Pooja in 15 days. What fraction of the job do they finish if they work together for 1 day? =
13. 13.Isha and Farhan together finish a job in 14 days. Isha alone takes 18 days. How many days would Farhan take alone?
14. 14.Diya can finish a job in 9 days and Aarav in 27 days. Diya works alone for 3 days and then stops. Aarav finishes the rest. How many days does Aarav take?
15. 15.Rahul can finish a job in 9 days and Diya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
16. 16.Vivaan and Pooja together finish a job in 12 days. Vivaan alone takes 24 days. How many days would Pooja take alone?
17. 17.Arjun can finish a job in 3 days and Rohan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
18. 18.Pooja and Aarav together finish a job in 2 days. Pooja alone takes 3 days. How many days would Aarav take alone?
19. 19.Rahul works twice as fast as Sneha. Together they finish a job in 3 days. How many days would Sneha take alone?
20. 20.Manav can finish a job in 4 days and Aarav in 8 days. Manav works alone for 3 days and then stops. Aarav finishes the rest. How many days does Aarav take?
21. 21.Aarav works twice as fast as Nisha. Together they finish a job in 8 days. How many days would Nisha take alone?
22. 22.Arjun and Ananya together finish a job in 6 days. Arjun alone takes 7 days. How many days would Ananya take alone?
23. 23.Kabir works twice as fast as Tara. Together they finish a job in 11 days. How many days would Tara take alone?
24. 24.Meera can finish a job in 10 days and Rahul in 17 days. What fraction of the job do they finish if they work together for 3 days? =
25. 25.Rohan can finish a job in 4 days and Rahul in 8 days. Rohan works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
26. 26.Kavya and Karan together finish a job in 3 days. Kavya alone takes 12 days. How many days would Karan take alone?
27. 27.Karan can finish a job in 12 days and Aditya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
28. 28.Diya and Kabir together finish a job in 6 days. Diya alone takes 12 days. How many days would Kabir take alone?
29. 29.Saanvi works three times as fast as Rahul. Together they finish a job in 4 days. How many days would Rahul take alone?
30. 30.Diya works twice as fast as Aditya. Together they finish a job in 6 days. How many days would Aditya take alone?
31. 31.Rohan can finish a job in 4 days and Manav in 6 days. Rohan works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
32. 32.Karan works three times as fast as Farhan. Together they finish a job in 12 days. How many days would Farhan take alone?
33. 33.Aditya works three times as fast as Diya. Together they finish a job in 2 days. How many days would Diya take alone?
34. 34.Diya and Tara together finish a job in 2 days. Diya alone takes 3 days. How many days would Tara take alone?
35. 35.Priya can finish a job in 5 days and Saanvi in 14 days. What fraction of the job do they finish if they work together for 1 day? =
36. 36.Rohan can finish a job in 6 days and Kavya in 18 days. Rohan works alone for 5 days and then stops. Kavya finishes the rest. How many days does Kavya take?
37. 37.Rohan can finish a job in 10 days and Farhan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
38. 38.Kabir can finish a job in 6 days and Dev in 17 days. What fraction of the job do they finish if they work together for 3 days? =
39. 39.Arjun can finish a job in 14 days and Aditya in 7 days. What fraction of the job do they finish if they work together for 2 days? =
40. 40.Tara can finish a job in 11 days and Nisha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

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