Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 214 · 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 Aarav. Together they finish a job in 10 days. How many days would Aarav take alone?
2. 2.Aarav and Vivaan together finish a job in 6 days. Aarav alone takes 15 days. How many days would Vivaan take alone?
3. 3.Aarav and Ananya together finish a job in 3 days. Aarav alone takes 4 days. How many days would Ananya take alone?
4. 4.Zoya and Ishaan together finish a job in 2 days. Zoya alone takes 3 days. How many days would Ishaan take alone?
5. 5.Rahul can finish a job in 16 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. =
6. 6.Farhan can finish a job in 7 days and Rohan in 14 days. Farhan works alone for 5 days and then stops. Rohan finishes the rest. How many days does Rohan take?
7. 7.Farhan and Aarav together finish a job in 12 days. Farhan alone takes 18 days. How many days would Aarav take alone?
8. 8.Priya can finish a job in 12 days and Zoya in 28 days. Priya works alone for 3 days and then stops. Zoya finishes the rest. How many days does Zoya take?
9. 9.Vivaan and Kabir together finish a job in 12 days. Vivaan alone takes 14 days. How many days would Kabir take alone?
10. 10.Kabir can finish a job in 5 days and Ishaan in 19 days. What fraction of the job do they finish if they work together for 1 day? =
11. 11.Pooja can finish a job in 13 days and Arjun in 5 days. What fraction of the job do they finish if they work together for 3 days? =
12. 12.Karan can finish a job in 9 days and Aditya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
13. 13.Aditya and Saanvi together finish a job in 5 days. Aditya alone takes 10 days. How many days would Saanvi take alone?
14. 14.Meera and Aarav together finish a job in 6 days. Meera alone takes 9 days. How many days would Aarav take alone?
15. 15.Isha can finish a job in 9 days and Pooja in 20 days. What fraction of the job do they finish if they work together for 1 day? =
16. 16.Aditya can finish a job in 7 days and Karan in 21 days. Aditya works alone for 2 days and then stops. Karan finishes the rest. How many days does Karan take?
17. 17.Nisha can finish a job in 5 days and Ananya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
18. 18.Karan and Isha together finish a job in 2 days. Karan alone takes 3 days. How many days would Isha take alone?
19. 19.Vivaan can finish a job in 2 days and Kabir in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
20. 20.Diya can finish a job in 6 days and Aditya in 20 days. Diya works alone for 3 days and then stops. Aditya finishes the rest. How many days does Aditya take?
21. 21.Zoya and Nisha together finish a job in 4 days. Zoya alone takes 8 days. How many days would Nisha take alone?
22. 22.Karan can finish a job in 4 days and Isha in 28 days. Karan works alone for 2 days and then stops. Isha finishes the rest. How many days does Isha take?
23. 23.Pooja can finish a job in 6 days and Aditya in 18 days. Pooja works alone for 5 days and then stops. Aditya finishes the rest. How many days does Aditya take?
24. 24.Tara can finish a job in 14 days and Nisha in 11 days. What fraction of the job do they finish if they work together for 1 day? =
25. 25.Rohan works three times as fast as Meera. Together they finish a job in 7 days. How many days would Meera take alone?
26. 26.Sneha can finish a job in 13 days and Karan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
27. 27.Rohan can finish a job in 6 days and Diya in 7 days. What fraction of the job do they finish if they work together for 3 days? =
28. 28.Farhan can finish a job in 6 days and Ananya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
29. 29.Isha and Kabir together finish a job in 2 days. Isha alone takes 3 days. How many days would Kabir take alone?
30. 30.Zoya can finish a job in 20 days and Rohan in 28 days. Zoya works alone for 15 days and then stops. Rohan finishes the rest. How many days does Rohan take?
31. 31.Ananya works three times as fast as Zoya. Together they finish a job in 10 days. How many days would Zoya take alone?
32. 32.Isha works three times as fast as Rohan. Together they finish a job in 12 days. How many days would Rohan take alone?
33. 33.Isha and Saanvi together finish a job in 3 days. Isha alone takes 4 days. How many days would Saanvi take alone?
34. 34.Vivaan and Nisha together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Nisha take alone?
35. 35.Saanvi works three times as fast as Kabir. Together they finish a job in 2 days. How many days would Kabir take alone?
36. 36.Tara can finish a job in 19 days and Aarav in 11 days. What fraction of the job do they finish if they work together for 1 day? =
37. 37.Zoya can finish a job in 20 days and Rahul in 6 days. What fraction of the job do they finish if they work together for 1 day? =
38. 38.Priya works twice as fast as Aditya. Together they finish a job in 2 days. How many days would Aditya take alone?
39. 39.Priya and Ananya together finish a job in 5 days. Priya alone takes 6 days. How many days would Ananya take alone?
40. 40.Rohan can finish a job in 12 days and Priya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

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