Time and Work Worksheet

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

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