Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 339 · 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.Saanvi works three times as fast as Rohan. Together they finish a job in 5 days. How many days would Rohan take alone?
2. 2.Vivaan can finish a job in 4 days and Aditya in 24 days. Vivaan works alone for 3 days and then stops. Aditya finishes the rest. How many days does Aditya take?
3. 3.Aditya works twice as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
4. 4.Aarav can finish a job in 15 days and Arjun in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
5. 5.Meera and Saanvi together finish a job in 3 days. Meera alone takes 4 days. How many days would Saanvi take alone?
6. 6.Priya can finish a job in 4 days and Ishaan in 16 days. What fraction of the job do they finish if they work together for 3 days? =
7. 7.Ananya can finish a job in 18 days and Meera in 15 days. What fraction of the job do they finish if they work together for 1 day? =
8. 8.Manav can finish a job in 15 days and Dev in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
9. 9.Meera works twice as fast as Isha. Together they finish a job in 12 days. How many days would Isha take alone?
10. 10.Pooja and Arjun together finish a job in 2 days. Pooja alone takes 4 days. How many days would Arjun take alone?
11. 11.Aarav can finish a job in 11 days and Vivaan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
12. 12.Ananya can finish a job in 28 days and Aarav in 14 days. Ananya works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
13. 13.Rohan and Meera together finish a job in 4 days. Rohan alone takes 5 days. How many days would Meera take alone?
14. 14.Rohan works twice as fast as Arjun. Together they finish a job in 2 days. How many days would Arjun take alone?
15. 15.Vivaan and Karan together finish a job in 3 days. Vivaan alone takes 6 days. How many days would Karan take alone?
16. 16.Aditya works three times as fast as Aarav. Together they finish a job in 6 days. How many days would Aarav take alone?
17. 17.Rahul works twice as fast as Manav. Together they finish a job in 11 days. How many days would Manav take alone?
18. 18.Farhan can finish a job in 9 days and Kavya in 27 days. Farhan works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?
19. 19.Diya and Karan together finish a job in 18 days. Diya alone takes 27 days. How many days would Karan take alone?
20. 20.Saanvi can finish a job in 5 days and Isha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
21. 21.Pooja and Vivaan together finish a job in 14 days. Pooja alone takes 18 days. How many days would Vivaan take alone?
22. 22.Rohan works three times as fast as Tara. Together they finish a job in 7 days. How many days would Tara take alone?
23. 23.Pooja can finish a job in 2 days and Priya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
24. 24.Diya and Isha together finish a job in 5 days. Diya alone takes 10 days. How many days would Isha take alone?
25. 25.Nisha can finish a job in 6 days and Sneha in 30 days. Nisha works alone for 4 days and then stops. Sneha finishes the rest. How many days does Sneha take?
26. 26.Priya can finish a job in 7 days and Diya in 21 days. Priya works alone for 6 days and then stops. Diya finishes the rest. How many days does Diya take?
27. 27.Nisha can finish a job in 2 days and Arjun in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
28. 28.Vivaan works three times as fast as Ananya. Together they finish a job in 9 days. How many days would Ananya take alone?
29. 29.Isha and Arjun together finish a job in 8 days. Isha alone takes 10 days. How many days would Arjun take alone?
30. 30.Nisha can finish a job in 10 days and Aarav in 25 days. Nisha works alone for 4 days and then stops. Aarav finishes the rest. How many days does Aarav take?
31. 31.Ananya can finish a job in 8 days and Manav in 14 days. What fraction of the job do they finish if they work together for 1 day? =
32. 32.Karan can finish a job in 7 days and Rohan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
33. 33.Ananya works twice as fast as Tara. Together they finish a job in 6 days. How many days would Tara take alone?
34. 34.Rahul can finish a job in 12 days and Manav in 9 days. What fraction of the job do they finish if they work together for 3 days? =
35. 35.Sneha can finish a job in 18 days and Priya in 30 days. Sneha works alone for 6 days and then stops. Priya finishes the rest. How many days does Priya take?
36. 36.Dev can finish a job in 12 days and Manav in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
37. 37.Aditya can finish a job in 6 days and Kabir in 4 days. Aditya works alone for 3 days and then stops. Kabir finishes the rest. How many days does Kabir take?
38. 38.Tara can finish a job in 18 days and Dev in 9 days. Tara works alone for 16 days and then stops. Dev finishes the rest. How many days does Dev take?
39. 39.Diya can finish a job in 10 days and Aarav in 6 days. What fraction of the job do they finish if they work together for 1 day? =
40. 40.Kavya can finish a job in 21 days and Rohan in 15 days. Kavya works alone for 7 days and then stops. Rohan finishes the rest. How many days does Rohan take?

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