Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 44 · 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.Karan can finish a job in 9 days and Aditya in 18 days. Karan works alone for 4 days and then stops. Aditya finishes the rest. How many days does Aditya take?
2. 2.Kabir can finish a job in 17 days and Vivaan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
3. 3.Farhan works twice as fast as Sneha. Together they finish a job in 6 days. How many days would Sneha take alone?
4. 4.Diya works twice as fast as Karan. Together they finish a job in 7 days. How many days would Karan take alone?
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.Kavya can finish a job in 18 days and Rohan in 16 days. What fraction of the job do they finish if they work together for 1 day? =
7. 7.Kabir and Nisha together finish a job in 3 days. Kabir alone takes 6 days. How many days would Nisha take alone?
8. 8.Saanvi works three times as fast as Tara. Together they finish a job in 2 days. How many days would Tara take alone?
9. 9.Rahul works twice as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
10. 10.Tara can finish a job in 6 days and Rahul in 17 days. What fraction of the job do they finish if they work together for 3 days? =
11. 11.Ananya and Ishaan together finish a job in 4 days. Ananya alone takes 8 days. How many days would Ishaan take alone?
12. 12.Manav and Karan together finish a job in 3 days. Manav alone takes 4 days. How many days would Karan take alone?
13. 13.Farhan can finish a job in 4 days and Meera in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
14. 14.Isha and Kavya together finish a job in 6 days. Isha alone takes 7 days. How many days would Kavya take alone?
15. 15.Priya can finish a job in 11 days and Saanvi in 22 days. Priya works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
16. 16.Kavya can finish a job in 4 days and Karan in 28 days. Kavya works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
17. 17.Tara works twice as fast as Priya. Together they finish a job in 7 days. How many days would Priya take alone?
18. 18.Vivaan and Tara together finish a job in 6 days. Vivaan alone takes 7 days. How many days would Tara take alone?
19. 19.Pooja and Kabir together finish a job in 4 days. Pooja alone takes 6 days. How many days would Kabir take alone?
20. 20.Rahul can finish a job in 25 days and Aarav in 30 days. Rahul works alone for 10 days and then stops. Aarav finishes the rest. How many days does Aarav take?
21. 21.Arjun works twice as fast as Kavya. Together they finish a job in 4 days. How many days would Kavya take alone?
22. 22.Aditya works twice as fast as Priya. Together they finish a job in 12 days. How many days would Priya take alone?
23. 23.Kavya and Zoya together finish a job in 2 days. Kavya alone takes 3 days. How many days would Zoya take alone?
24. 24.Nisha can finish a job in 8 days and Diya in 12 days. What fraction of the job do they finish if they work together for 3 days? =
25. 25.Rohan works twice as fast as Aditya. Together they finish a job in 7 days. How many days would Aditya take alone?
26. 26.Arjun can finish a job in 8 days and Ishaan in 20 days. Arjun works alone for 6 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
27. 27.Saanvi and Sneha together finish a job in 6 days. Saanvi alone takes 8 days. How many days would Sneha take alone?
28. 28.Arjun works three times as fast as Pooja. Together they finish a job in 5 days. How many days would Pooja take alone?
29. 29.Manav can finish a job in 6 days and Aarav in 27 days. Manav works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
30. 30.Arjun works twice as fast as Tara. Together they finish a job in 6 days. How many days would Tara take alone?
31. 31.Zoya can finish a job in 15 days and Sneha in 30 days. Zoya works alone for 12 days and then stops. Sneha finishes the rest. How many days does Sneha take?
32. 32.Kavya can finish a job in 4 days and Saanvi in 14 days. What fraction of the job do they finish if they work together for 2 days? =
33. 33.Arjun can finish a job in 16 days and Pooja in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
34. 34.Farhan works twice as fast as Manav. Together they finish a job in 4 days. How many days would Manav take alone?
35. 35.Farhan works twice as fast as Sneha. Together they finish a job in 2 days. How many days would Sneha take alone?
36. 36.Rohan can finish a job in 5 days and Aarav in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
37. 37.Rohan can finish a job in 4 days and Nisha in 8 days. Rohan works alone for 2 days and then stops. Nisha finishes the rest. How many days does Nisha take?
38. 38.Diya and Rohan together finish a job in 4 days. Diya alone takes 20 days. How many days would Rohan take alone?
39. 39.Priya works twice as fast as Aditya. Together they finish a job in 6 days. How many days would Aditya take alone?
40. 40.Diya can finish a job in 4 days and Farhan in 24 days. Diya works alone for 2 days and then stops. Farhan finishes the rest. How many days does Farhan take?

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