Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 73 · 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.Isha can finish a job in 6 days and Rohan in 19 days. What fraction of the job do they finish if they work together for 2 days? =
2. 2.Karan works twice as fast as Rahul. Together they finish a job in 6 days. How many days would Rahul take alone?
3. 3.Ananya and Saanvi together finish a job in 8 days. Ananya alone takes 12 days. How many days would Saanvi take alone?
4. 4.Isha and Farhan together finish a job in 12 days. Isha alone takes 15 days. How many days would Farhan take alone?
5. 5.Sneha and Kavya together finish a job in 6 days. Sneha alone takes 7 days. How many days would Kavya take alone?
6. 6.Zoya can finish a job in 18 days and Rohan in 9 days. Zoya works alone for 10 days and then stops. Rohan finishes the rest. How many days does Rohan take?
7. 7.Rohan can finish a job in 30 days and Nisha in 10 days. Rohan works alone for 18 days and then stops. Nisha finishes the rest. How many days does Nisha take?
8. 8.Dev can finish a job in 3 days and Arjun in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
9. 9.Aditya can finish a job in 6 days and Isha in 18 days. Aditya works alone for 4 days and then stops. Isha finishes the rest. How many days does Isha take?
10. 10.Dev can finish a job in 8 days and Sneha in 12 days. Dev works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
11. 11.Sneha works twice as fast as Nisha. Together they finish a job in 9 days. How many days would Nisha take alone?
12. 12.Dev can finish a job in 13 days and Rohan in 16 days. What fraction of the job do they finish if they work together for 3 days? =
13. 13.Karan can finish a job in 14 days and Aarav in 4 days. What fraction of the job do they finish if they work together for 1 day? =
14. 14.Meera and Sneha together finish a job in 6 days. Meera alone takes 8 days. How many days would Sneha take alone?
15. 15.Rahul works twice as fast as Aarav. Together they finish a job in 9 days. How many days would Aarav take alone?
16. 16.Sneha and Ananya together finish a job in 12 days. Sneha alone takes 15 days. How many days would Ananya take alone?
17. 17.Manav can finish a job in 7 days and Tara in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
18. 18.Zoya can finish a job in 16 days and Priya in 15 days. What fraction of the job do they finish if they work together for 2 days? =
19. 19.Aditya can finish a job in 12 days and Nisha in 18 days. Aditya works alone for 6 days and then stops. Nisha finishes the rest. How many days does Nisha take?
20. 20.Diya works twice as fast as Karan. Together they finish a job in 12 days. How many days would Karan take alone?
21. 21.Saanvi works three times as fast as Aditya. Together they finish a job in 10 days. How many days would Aditya take alone?
22. 22.Kabir can finish a job in 20 days and Dev in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
23. 23.Diya can finish a job in 6 days and Aarav in 16 days. What fraction of the job do they finish if they work together for 1 day? =
24. 24.Manav and Dev together finish a job in 3 days. Manav alone takes 4 days. How many days would Dev take alone?
25. 25.Dev works twice as fast as Vivaan. Together they finish a job in 9 days. How many days would Vivaan take alone?
26. 26.Meera and Rohan together finish a job in 10 days. Meera alone takes 15 days. How many days would Rohan take alone?
27. 27.Ishaan can finish a job in 9 days and Vivaan in 5 days. What fraction of the job do they finish if they work together for 3 days? =
28. 28.Dev can finish a job in 17 days and Arjun in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
29. 29.Farhan can finish a job in 7 days and Karan in 15 days. What fraction of the job do they finish if they work together for 1 day? =
30. 30.Dev works three times as fast as Sneha. Together they finish a job in 11 days. How many days would Sneha take alone?
31. 31.Karan can finish a job in 26 days and Nisha in 18 days. Karan works alone for 13 days and then stops. Nisha finishes the rest. How many days does Nisha take?
32. 32.Manav and Farhan together finish a job in 8 days. Manav alone takes 16 days. How many days would Farhan take alone?
33. 33.Pooja can finish a job in 28 days and Ishaan in 21 days. Pooja works alone for 8 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
34. 34.Vivaan can finish a job in 18 days and Isha in 27 days. Vivaan works alone for 2 days and then stops. Isha finishes the rest. How many days does Isha take?
35. 35.Saanvi can finish a job in 8 days and Isha in 20 days. What fraction of the job do they finish if they work together for 1 day? =
36. 36.Priya can finish a job in 15 days and Rohan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
37. 37.Arjun can finish a job in 16 days and Priya in 10 days. What fraction of the job do they finish if they work together for 3 days? =
38. 38.Vivaan and Aditya together finish a job in 6 days. Vivaan alone takes 15 days. How many days would Aditya take alone?
39. 39.Arjun works twice as fast as Diya. Together they finish a job in 9 days. How many days would Diya take alone?
40. 40.Nisha can finish a job in 9 days and Rahul in 18 days. What fraction of the job do they finish if they work together for 2 days? =

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