Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 502 · 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.Manav and Aarav together finish a job in 9 days. Manav alone takes 10 days. How many days would Aarav take alone?
2. 2.Ananya can finish a job in 13 days and Zoya in 12 days. What fraction of the job do they finish if they work together for 3 days? =
3. 3.Aditya can finish a job in 5 days and Farhan in 4 days. What fraction of the job do they finish if they work together for 2 days? =
4. 4.Tara can finish a job in 5 days and Karan in 10 days. Tara works alone for 1 day and then stops. Karan finishes the rest. How many days does Karan take?
5. 5.Kabir can finish a job in 12 days and Aarav in 5 days. What fraction of the job do they finish if they work together for 2 days? =
6. 6.Kabir can finish a job in 14 days and Nisha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
7. 7.Ananya can finish a job in 4 days and Vivaan in 8 days. Ananya works alone for 2 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
8. 8.Rohan can finish a job in 8 days and Zoya in 11 days. What fraction of the job do they finish if they work together for 3 days? =
9. 9.Vivaan works twice as fast as Isha. Together they finish a job in 8 days. How many days would Isha take alone?
10. 10.Aditya can finish a job in 7 days and Tara in 19 days. What fraction of the job do they finish if they work together for 2 days? =
11. 11.Tara and Kabir together finish a job in 2 days. Tara alone takes 3 days. How many days would Kabir take alone?
12. 12.Farhan and Pooja together finish a job in 4 days. Farhan alone takes 8 days. How many days would Pooja take alone?
13. 13.Meera can finish a job in 24 days and Sneha in 10 days. Meera works alone for 12 days and then stops. Sneha finishes the rest. How many days does Sneha take?
14. 14.Isha can finish a job in 12 days and Vivaan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
15. 15.Dev works twice as fast as Zoya. Together they finish a job in 10 days. How many days would Zoya take alone?
16. 16.Sneha can finish a job in 6 days and Nisha in 16 days. Sneha works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
17. 17.Vivaan can finish a job in 16 days and Dev in 5 days. What fraction of the job do they finish if they work together for 1 day? =
18. 18.Saanvi can finish a job in 15 days and Diya in 25 days. Saanvi works alone for 6 days and then stops. Diya finishes the rest. How many days does Diya take?
19. 19.Tara and Nisha together finish a job in 8 days. Tara alone takes 16 days. How many days would Nisha take alone?
20. 20.Kabir works three times as fast as Manav. Together they finish a job in 8 days. How many days would Manav take alone?
21. 21.Vivaan can finish a job in 10 days and Zoya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
22. 22.Isha works twice as fast as Arjun. Together they finish a job in 9 days. How many days would Arjun take alone?
23. 23.Rohan can finish a job in 6 days and Dev in 18 days. Rohan works alone for 3 days and then stops. Dev finishes the rest. How many days does Dev take?
24. 24.Karan works twice as fast as Vivaan. Together they finish a job in 11 days. How many days would Vivaan take alone?
25. 25.Isha works twice as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
26. 26.Dev works three times as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
27. 27.Ananya can finish a job in 14 days and Diya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
28. 28.Karan can finish a job in 16 days and Kavya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
29. 29.Manav can finish a job in 20 days and Kabir in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
30. 30.Arjun and Rahul together finish a job in 3 days. Arjun alone takes 4 days. How many days would Rahul take alone?
31. 31.Kavya can finish a job in 5 days and Rohan in 12 days. What fraction of the job do they finish if they work together for 1 day? =
32. 32.Aarav can finish a job in 4 days and Kabir in 19 days. What fraction of the job do they finish if they work together for 2 days? =
33. 33.Saanvi works twice as fast as Rahul. Together they finish a job in 2 days. How many days would Rahul take alone?
34. 34.Aarav can finish a job in 16 days and Diya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
35. 35.Tara works twice as fast as Sneha. Together they finish a job in 9 days. How many days would Sneha take alone?
36. 36.Tara can finish a job in 22 days and Pooja in 16 days. Tara works alone for 11 days and then stops. Pooja finishes the rest. How many days does Pooja take?
37. 37.Ananya can finish a job in 17 days and Kabir in 5 days. What fraction of the job do they finish if they work together for 3 days? =
38. 38.Pooja can finish a job in 6 days and Dev in 18 days. Pooja works alone for 3 days and then stops. Dev finishes the rest. How many days does Dev take?
39. 39.Farhan and Karan together finish a job in 4 days. Farhan alone takes 5 days. How many days would Karan take alone?
40. 40.Arjun can finish a job in 7 days and Zoya in 11 days. What fraction of the job do they finish if they work together for 2 days? =

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