Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 107 · 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.Rohan can finish a job in 12 days and Sneha in 24 days. Rohan works alone for 1 day and then stops. Sneha finishes the rest. How many days does Sneha take?
2. 2.Rahul and Vivaan together finish a job in 5 days. Rahul alone takes 6 days. How many days would Vivaan take alone?
3. 3.Rohan works three times as fast as Diya. Together they finish a job in 4 days. How many days would Diya take alone?
4. 4.Saanvi and Rahul together finish a job in 6 days. Saanvi alone takes 7 days. How many days would Rahul take alone?
5. 5.Kabir can finish a job in 15 days and Nisha in 30 days. Kabir works alone for 6 days and then stops. Nisha finishes the rest. How many days does Nisha take?
6. 6.Rohan works three times as fast as Vivaan. Together they finish a job in 3 days. How many days would Vivaan take alone?
7. 7.Aditya can finish a job in 6 days and Rohan in 9 days. What fraction of the job do they finish if they work together for 1 day? =
8. 8.Karan and Priya together finish a job in 3 days. Karan alone takes 4 days. How many days would Priya take alone?
9. 9.Meera and Arjun together finish a job in 12 days. Meera alone takes 16 days. How many days would Arjun take alone?
10. 10.Ananya can finish a job in 3 days and Pooja in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
11. 11.Dev can finish a job in 6 days and Kavya in 8 days. Dev works alone for 3 days and then stops. Kavya finishes the rest. How many days does Kavya take?
12. 12.Ishaan and Vivaan together finish a job in 6 days. Ishaan alone takes 24 days. How many days would Vivaan take alone?
13. 13.Ishaan works three times as fast as Pooja. Together they finish a job in 9 days. How many days would Pooja take alone?
14. 14.Kabir can finish a job in 4 days and Rahul in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
15. 15.Sneha can finish a job in 10 days and Manav in 16 days. What fraction of the job do they finish if they work together for 1 day? =
16. 16.Tara can finish a job in 20 days and Saanvi in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
17. 17.Manav and Dev together finish a job in 2 days. Manav alone takes 3 days. How many days would Dev take alone?
18. 18.Zoya can finish a job in 6 days and Kavya in 16 days. What fraction of the job do they finish if they work together for 1 day? =
19. 19.Kabir and Vivaan together finish a job in 2 days. Kabir alone takes 3 days. How many days would Vivaan take alone?
20. 20.Saanvi can finish a job in 12 days and Vivaan in 16 days. Saanvi works alone for 6 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
21. 21.Aditya can finish a job in 11 days and Arjun in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
22. 22.Sneha works twice as fast as Priya. Together they finish a job in 11 days. How many days would Priya take alone?
23. 23.Ananya works twice as fast as Aarav. Together they finish a job in 11 days. How many days would Aarav take alone?
24. 24.Pooja can finish a job in 28 days and Zoya in 21 days. Pooja works alone for 8 days and then stops. Zoya finishes the rest. How many days does Zoya take?
25. 25.Rahul works twice as fast as Meera. Together they finish a job in 9 days. How many days would Meera take alone?
26. 26.Farhan can finish a job in 4 days and Ananya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
27. 27.Ishaan can finish a job in 6 days and Kabir in 19 days. What fraction of the job do they finish if they work together for 2 days? =
28. 28.Sneha can finish a job in 13 days and Pooja in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
29. 29.Kabir can finish a job in 12 days and Sneha in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
30. 30.Rohan can finish a job in 10 days and Manav in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
31. 31.Ananya and Sneha together finish a job in 3 days. Ananya alone takes 6 days. How many days would Sneha take alone?
32. 32.Saanvi can finish a job in 5 days and Pooja in 8 days. What fraction of the job do they finish if they work together for 1 day? =
33. 33.Kabir can finish a job in 19 days and Pooja in 10 days. What fraction of the job do they finish if they work together for 2 days? =
34. 34.Vivaan works twice as fast as Tara. Together they finish a job in 2 days. How many days would Tara take alone?
35. 35.Diya can finish a job in 12 days and Rohan in 5 days. What fraction of the job do they finish if they work together for 1 day? =
36. 36.Arjun can finish a job in 4 days and Pooja in 18 days. What fraction of the job do they finish if they work together for 1 day? =
37. 37.Manav can finish a job in 11 days and Zoya in 17 days. What fraction of the job do they finish if they work together for 2 days? =
38. 38.Ananya works twice as fast as Isha. Together they finish a job in 12 days. How many days would Isha take alone?
39. 39.Priya works three times as fast as Aarav. Together they finish a job in 2 days. How many days would Aarav take alone?
40. 40.Saanvi can finish a job in 4 days and Manav in 20 days. Saanvi works alone for 1 day and then stops. Manav finishes the rest. How many days does Manav take?

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