Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 313 · 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.Aarav works three times as fast as Priya. Together they finish a job in 7 days. How many days would Priya take alone?
2. 2.Kabir works three times as fast as Aarav. Together they finish a job in 6 days. How many days would Aarav take alone?
3. 3.Kavya and Tara together finish a job in 3 days. Kavya alone takes 4 days. How many days would Tara take alone?
4. 4.Meera can finish a job in 6 days and Rahul in 18 days. Meera works alone for 1 day and then stops. Rahul finishes the rest. How many days does Rahul take?
5. 5.Priya can finish a job in 20 days and Arjun in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
6. 6.Ishaan can finish a job in 8 days and Aarav in 24 days. Ishaan works alone for 5 days and then stops. Aarav finishes the rest. How many days does Aarav take?
7. 7.Isha and Kabir together finish a job in 4 days. Isha alone takes 5 days. How many days would Kabir take alone?
8. 8.Aditya can finish a job in 6 days and Karan in 18 days. Aditya works alone for 1 day and then stops. Karan finishes the rest. How many days does Karan take?
9. 9.Aarav can finish a job in 7 days and Dev in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
10. 10.Ananya can finish a job in 4 days and Ishaan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
11. 11.Dev and Priya together finish a job in 4 days. Dev alone takes 6 days. How many days would Priya take alone?
12. 12.Isha can finish a job in 4 days and Priya in 7 days. What fraction of the job do they finish if they work together for 1 day? =
13. 13.Ananya can finish a job in 6 days and Tara in 7 days. What fraction of the job do they finish if they work together for 2 days? =
14. 14.Diya can finish a job in 12 days and Tara in 21 days. Diya works alone for 8 days and then stops. Tara finishes the rest. How many days does Tara take?
15. 15.Tara can finish a job in 8 days and Ananya in 24 days. Tara works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?
16. 16.Rahul works twice as fast as Vivaan. Together they finish a job in 7 days. How many days would Vivaan take alone?
17. 17.Rahul works twice as fast as Tara. Together they finish a job in 2 days. How many days would Tara take alone?
18. 18.Karan can finish a job in 16 days and Isha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
19. 19.Dev and Arjun together finish a job in 2 days. Dev alone takes 4 days. How many days would Arjun take alone?
20. 20.Aarav works twice as fast as Nisha. Together they finish a job in 5 days. How many days would Nisha take alone?
21. 21.Ishaan can finish a job in 14 days and Aditya in 10 days. What fraction of the job do they finish if they work together for 1 day? =
22. 22.Karan can finish a job in 20 days and Ananya in 10 days. Karan works alone for 8 days and then stops. Ananya finishes the rest. How many days does Ananya take?
23. 23.Arjun works twice as fast as Sneha. Together they finish a job in 2 days. How many days would Sneha take alone?
24. 24.Sneha and Zoya together finish a job in 4 days. Sneha alone takes 5 days. How many days would Zoya take alone?
25. 25.Saanvi can finish a job in 15 days and Meera in 10 days. What fraction of the job do they finish if they work together for 1 day? =
26. 26.Farhan can finish a job in 10 days and Ishaan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
27. 27.Nisha and Pooja together finish a job in 2 days. Nisha alone takes 3 days. How many days would Pooja take alone?
28. 28.Arjun works three times as fast as Meera. Together they finish a job in 9 days. How many days would Meera take alone?
29. 29.Sneha and Isha together finish a job in 3 days. Sneha alone takes 6 days. How many days would Isha take alone?
30. 30.Arjun can finish a job in 17 days and Sneha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
31. 31.Sneha can finish a job in 14 days and Diya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
32. 32.Tara and Ishaan together finish a job in 2 days. Tara alone takes 6 days. How many days would Ishaan take alone?
33. 33.Farhan can finish a job in 7 days and Arjun in 14 days. What fraction of the job do they finish if they work together for 1 day? =
34. 34.Ananya can finish a job in 16 days and Priya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
35. 35.Manav can finish a job in 30 days and Priya in 27 days. Manav works alone for 10 days and then stops. Priya finishes the rest. How many days does Priya take?
36. 36.Zoya can finish a job in 6 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. =
37. 37.Zoya can finish a job in 15 days and Nisha in 9 days. Zoya works alone for 5 days and then stops. Nisha finishes the rest. How many days does Nisha take?
38. 38.Sneha can finish a job in 15 days and Karan in 5 days. What fraction of the job do they finish if they work together for 1 day? =
39. 39.Priya can finish a job in 18 days and Zoya in 6 days. What fraction of the job do they finish if they work together for 2 days? =
40. 40.Priya and Dev together finish a job in 18 days. Priya alone takes 24 days. How many days would Dev take alone?

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