Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 146 · 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.Kabir works twice as fast as Diya. Together they finish a job in 7 days. How many days would Diya take alone?
2. 2.Manav can finish a job in 2 days and Aarav in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
3. 3.Isha can finish a job in 14 days and Rahul in 21 days. Isha works alone for 12 days and then stops. Rahul finishes the rest. How many days does Rahul take?
4. 4.Pooja can finish a job in 5 days and Tara in 15 days. Pooja works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
5. 5.Rohan can finish a job in 10 days and Diya in 5 days. Rohan works alone for 8 days and then stops. Diya finishes the rest. How many days does Diya take?
6. 6.Manav works twice as fast as Diya. Together they finish a job in 5 days. How many days would Diya take alone?
7. 7.Manav works twice as fast as Saanvi. Together they finish a job in 9 days. How many days would Saanvi take alone?
8. 8.Ishaan works twice as fast as Arjun. Together they finish a job in 2 days. How many days would Arjun take alone?
9. 9.Ishaan and Ananya together finish a job in 11 days. Ishaan alone takes 22 days. How many days would Ananya take alone?
10. 10.Meera can finish a job in 6 days and Kavya in 18 days. What fraction of the job do they finish if they work together for 2 days? =
11. 11.Karan can finish a job in 14 days and Farhan in 17 days. What fraction of the job do they finish if they work together for 1 day? =
12. 12.Sneha works three times as fast as Tara. Together they finish a job in 10 days. How many days would Tara take alone?
13. 13.Diya can finish a job in 5 days and Arjun in 15 days. What fraction of the job do they finish if they work together for 2 days? =
14. 14.Rohan can finish a job in 10 days and Sneha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
15. 15.Priya can finish a job in 15 days and Meera in 30 days. Priya works alone for 1 day and then stops. Meera finishes the rest. How many days does Meera take?
16. 16.Meera can finish a job in 28 days and Kabir in 16 days. Meera works alone for 7 days and then stops. Kabir finishes the rest. How many days does Kabir take?
17. 17.Aditya can finish a job in 3 days and Tara in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
18. 18.Manav works three times as fast as Nisha. Together they finish a job in 11 days. How many days would Nisha take alone?
19. 19.Arjun and Priya together finish a job in 2 days. Arjun alone takes 4 days. How many days would Priya take alone?
20. 20.Aditya can finish a job in 19 days and Saanvi in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
21. 21.Ishaan can finish a job in 4 days and Nisha in 28 days. Ishaan works alone for 2 days and then stops. Nisha finishes the rest. How many days does Nisha take?
22. 22.Sneha can finish a job in 7 days and Arjun in 4 days. What fraction of the job do they finish if they work together for 2 days? =
23. 23.Rahul can finish a job in 13 days and Priya in 26 days. Rahul works alone for 8 days and then stops. Priya finishes the rest. How many days does Priya take?
24. 24.Nisha can finish a job in 6 days and Sneha in 16 days. Nisha works alone for 3 days and then stops. Sneha finishes the rest. How many days does Sneha take?
25. 25.Diya can finish a job in 17 days and Nisha in 8 days. What fraction of the job do they finish if they work together for 3 days? =
26. 26.Ananya can finish a job in 6 days and Priya in 5 days. What fraction of the job do they finish if they work together for 2 days? =
27. 27.Saanvi and Isha together finish a job in 4 days. Saanvi alone takes 12 days. How many days would Isha take alone?
28. 28.Aditya and Nisha together finish a job in 2 days. Aditya alone takes 6 days. How many days would Nisha take alone?
29. 29.Dev can finish a job in 17 days and Kabir in 14 days. What fraction of the job do they finish if they work together for 3 days? =
30. 30.Pooja can finish a job in 17 days and Saanvi in 18 days. What fraction of the job do they finish if they work together for 1 day? =
31. 31.Ananya can finish a job in 13 days and Dev in 12 days. What fraction of the job do they finish if they work together for 1 day? =
32. 32.Kavya works twice as fast as Farhan. Together they finish a job in 10 days. How many days would Farhan take alone?
33. 33.Tara can finish a job in 12 days and Zoya in 5 days. What fraction of the job do they finish if they work together for 1 day? =
34. 34.Saanvi can finish a job in 4 days and Pooja in 14 days. What fraction of the job do they finish if they work together for 3 days? =
35. 35.Aarav works three times as fast as Aditya. Together they finish a job in 8 days. How many days would Aditya take alone?
36. 36.Aarav can finish a job in 7 days and Sneha in 18 days. What fraction of the job do they finish if they work together for 1 day? =
37. 37.Rahul can finish a job in 10 days and Rohan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
38. 38.Manav works three times as fast as Aarav. Together they finish a job in 2 days. How many days would Aarav take alone?
39. 39.Aarav can finish a job in 6 days and Manav in 12 days. What fraction of the job do they finish if they work together for 3 days? =
40. 40.Rohan works three times as fast as Tara. Together they finish a job in 10 days. How many days would Tara take alone?

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