Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 192 · 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.Saanvi can finish a job in 3 days and Karan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
2. 2.Dev works twice as fast as Rahul. Together they finish a job in 8 days. How many days would Rahul take alone?
3. 3.Pooja works twice as fast as Sneha. Together they finish a job in 9 days. How many days would Sneha take alone?
4. 4.Manav works three times as fast as Ishaan. Together they finish a job in 9 days. How many days would Ishaan take alone?
5. 5.Sneha can finish a job in 7 days and Diya in 9 days. What fraction of the job do they finish if they work together for 3 days? =
6. 6.Nisha and Sneha together finish a job in 6 days. Nisha alone takes 7 days. How many days would Sneha take alone?
7. 7.Diya can finish a job in 4 days and Vivaan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
8. 8.Pooja can finish a job in 4 days and Ishaan in 24 days. Pooja works alone for 3 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
9. 9.Priya works three times as fast as Aditya. Together they finish a job in 9 days. How many days would Aditya take alone?
10. 10.Aarav can finish a job in 13 days and Vivaan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
11. 11.Kavya can finish a job in 18 days and Ananya in 8 days. What fraction of the job do they finish if they work together for 1 day? =
12. 12.Manav and Dev together finish a job in 10 days. Manav alone takes 12 days. How many days would Dev take alone?
13. 13.Priya works three times as fast as Dev. Together they finish a job in 4 days. How many days would Dev take alone?
14. 14.Farhan works twice as fast as Kavya. Together they finish a job in 9 days. How many days would Kavya take alone?
15. 15.Rohan works three times as fast as Sneha. Together they finish a job in 3 days. How many days would Sneha take alone?
16. 16.Tara works three times as fast as Farhan. Together they finish a job in 4 days. How many days would Farhan take alone?
17. 17.Kavya can finish a job in 6 days and Priya in 15 days. What fraction of the job do they finish if they work together for 3 days? =
18. 18.Zoya can finish a job in 8 days and Ananya in 4 days. Zoya works alone for 6 days and then stops. Ananya finishes the rest. How many days does Ananya take?
19. 19.Meera can finish a job in 6 days and Dev in 30 days. Meera works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
20. 20.Arjun and Rohan together finish a job in 8 days. Arjun alone takes 9 days. How many days would Rohan take alone?
21. 21.Saanvi can finish a job in 6 days and Aarav in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
22. 22.Rahul works twice as fast as Vivaan. Together they finish a job in 9 days. How many days would Vivaan take alone?
23. 23.Kabir can finish a job in 18 days and Nisha in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
24. 24.Sneha can finish a job in 16 days and Isha in 18 days. What fraction of the job do they finish if they work together for 3 days? =
25. 25.Aarav and Karan together finish a job in 4 days. Aarav alone takes 20 days. How many days would Karan take alone?
26. 26.Pooja works three times as fast as Vivaan. Together they finish a job in 3 days. How many days would Vivaan take alone?
27. 27.Saanvi can finish a job in 12 days and Ishaan in 11 days. What fraction of the job do they finish if they work together for 3 days? =
28. 28.Zoya and Aditya together finish a job in 8 days. Zoya alone takes 10 days. How many days would Aditya take alone?
29. 29.Meera can finish a job in 13 days and Vivaan in 26 days. Meera works alone for 10 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
30. 30.Meera can finish a job in 19 days and Aarav in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
31. 31.Farhan works twice as fast as Karan. Together they finish a job in 2 days. How many days would Karan take alone?
32. 32.Manav and Priya together finish a job in 4 days. Manav alone takes 5 days. How many days would Priya take alone?
33. 33.Aarav can finish a job in 6 days and Kavya in 5 days. What fraction of the job do they finish if they work together for 2 days? =
34. 34.Ananya and Rohan together finish a job in 3 days. Ananya alone takes 6 days. How many days would Rohan take alone?
35. 35.Aditya works twice as fast as Kabir. Together they finish a job in 3 days. How many days would Kabir take alone?
36. 36.Tara and Rohan together finish a job in 2 days. Tara alone takes 3 days. How many days would Rohan take alone?
37. 37.Sneha works three times as fast as Isha. Together they finish a job in 12 days. How many days would Isha take alone?
38. 38.Rohan can finish a job in 11 days and Dev in 20 days. What fraction of the job do they finish if they work together for 1 day? =
39. 39.Nisha and Rohan together finish a job in 8 days. Nisha alone takes 24 days. How many days would Rohan take alone?
40. 40.Nisha works three times as fast as Sneha. Together they finish a job in 11 days. How many days would Sneha take alone?

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