Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 238 · 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.Meera and Zoya together finish a job in 4 days. Meera alone takes 8 days. How many days would Zoya take alone?
2. 2.Vivaan and Meera together finish a job in 3 days. Vivaan alone takes 4 days. How many days would Meera take alone?
3. 3.Nisha can finish a job in 8 days and Ishaan in 24 days. Nisha works alone for 4 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
4. 4.Ishaan and Isha together finish a job in 12 days. Ishaan alone takes 30 days. How many days would Isha take alone?
5. 5.Kabir can finish a job in 30 days and Isha in 10 days. Kabir works alone for 18 days and then stops. Isha finishes the rest. How many days does Isha take?
6. 6.Diya can finish a job in 10 days and Arjun in 24 days. Diya works alone for 5 days and then stops. Arjun finishes the rest. How many days does Arjun take?
7. 7.Kavya can finish a job in 19 days and Dev in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
8. 8.Diya works three times as fast as Manav. Together they finish a job in 5 days. How many days would Manav take alone?
9. 9.Rohan can finish a job in 4 days and Arjun in 24 days. Rohan works alone for 1 day and then stops. Arjun finishes the rest. How many days does Arjun take?
10. 10.Diya can finish a job in 13 days and Kabir in 26 days. Diya works alone for 7 days and then stops. Kabir finishes the rest. How many days does Kabir take?
11. 11.Ananya can finish a job in 13 days and Priya in 10 days. What fraction of the job do they finish if they work together for 2 days? =
12. 12.Zoya can finish a job in 7 days and Meera in 13 days. What fraction of the job do they finish if they work together for 3 days? =
13. 13.Aarav can finish a job in 5 days and Zoya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
14. 14.Kabir works twice as fast as Rahul. Together they finish a job in 8 days. How many days would Rahul take alone?
15. 15.Arjun and Zoya together finish a job in 2 days. Arjun alone takes 4 days. How many days would Zoya take alone?
16. 16.Farhan works three times as fast as Ishaan. Together they finish a job in 5 days. How many days would Ishaan take alone?
17. 17.Diya can finish a job in 2 days and Kabir in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
18. 18.Meera can finish a job in 9 days and Dev in 11 days. What fraction of the job do they finish if they work together for 3 days? =
19. 19.Tara and Kabir together finish a job in 21 days. Tara alone takes 30 days. How many days would Kabir take alone?
20. 20.Kabir and Ishaan together finish a job in 3 days. Kabir alone takes 4 days. How many days would Ishaan take alone?
21. 21.Arjun can finish a job in 8 days and Ananya in 10 days. What fraction of the job do they finish if they work together for 3 days? =
22. 22.Aarav works twice as fast as Priya. Together they finish a job in 7 days. How many days would Priya take alone?
23. 23.Karan can finish a job in 5 days and Aditya in 11 days. What fraction of the job do they finish if they work together for 3 days? =
24. 24.Aditya works three times as fast as Aarav. Together they finish a job in 11 days. How many days would Aarav take alone?
25. 25.Ishaan can finish a job in 9 days and Aarav in 16 days. What fraction of the job do they finish if they work together for 2 days? =
26. 26.Dev can finish a job in 20 days and Ananya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
27. 27.Zoya works twice as fast as Manav. Together they finish a job in 2 days. How many days would Manav take alone?
28. 28.Sneha works twice as fast as Meera. Together they finish a job in 2 days. How many days would Meera take alone?
29. 29.Ishaan can finish a job in 8 days and Rohan in 20 days. Ishaan works alone for 4 days and then stops. Rohan finishes the rest. How many days does Rohan take?
30. 30.Aarav works three times as fast as Saanvi. Together they finish a job in 10 days. How many days would Saanvi take alone?
31. 31.Karan can finish a job in 11 days and Arjun in 9 days. What fraction of the job do they finish if they work together for 2 days? =
32. 32.Karan works twice as fast as Ananya. Together they finish a job in 2 days. How many days would Ananya take alone?
33. 33.Ananya can finish a job in 8 days and Priya in 12 days. What fraction of the job do they finish if they work together for 3 days? =
34. 34.Dev and Zoya together finish a job in 2 days. Dev alone takes 6 days. How many days would Zoya take alone?
35. 35.Rahul can finish a job in 6 days and Ananya in 5 days. What fraction of the job do they finish if they work together for 1 day? =
36. 36.Isha can finish a job in 9 days and Karan in 12 days. Isha works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
37. 37.Arjun works three times as fast as Nisha. Together they finish a job in 3 days. How many days would Nisha take alone?
38. 38.Dev and Vivaan together finish a job in 6 days. Dev alone takes 7 days. How many days would Vivaan take alone?
39. 39.Arjun can finish a job in 12 days and Rahul in 19 days. What fraction of the job do they finish if they work together for 1 day? =
40. 40.Vivaan and Arjun together finish a job in 14 days. Vivaan alone takes 21 days. How many days would Arjun take alone?

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