Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 55 · 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.Karan and Ishaan together finish a job in 2 days. Karan alone takes 3 days. How many days would Ishaan take alone?
2. 2.Karan can finish a job in 12 days and Sneha in 6 days. Karan works alone for 4 days and then stops. Sneha finishes the rest. How many days does Sneha take?
3. 3.Nisha can finish a job in 17 days and Priya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
4. 4.Diya works three times as fast as Karan. Together they finish a job in 11 days. How many days would Karan take alone?
5. 5.Meera works twice as fast as Isha. Together they finish a job in 10 days. How many days would Isha take alone?
6. 6.Diya and Arjun together finish a job in 12 days. Diya alone takes 28 days. How many days would Arjun take alone?
7. 7.Pooja can finish a job in 7 days and Arjun in 8 days. What fraction of the job do they finish if they work together for 3 days? =
8. 8.Ishaan can finish a job in 11 days and Arjun in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
9. 9.Vivaan works three times as fast as Tara. Together they finish a job in 6 days. How many days would Tara take alone?
10. 10.Ishaan can finish a job in 11 days and Ananya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
11. 11.Priya can finish a job in 11 days and Ananya in 12 days. What fraction of the job do they finish if they work together for 1 day? =
12. 12.Meera can finish a job in 15 days and Pooja in 14 days. What fraction of the job do they finish if they work together for 2 days? =
13. 13.Vivaan and Ananya together finish a job in 6 days. Vivaan alone takes 24 days. How many days would Ananya take alone?
14. 14.Rohan can finish a job in 30 days and Vivaan in 12 days. Rohan works alone for 15 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
15. 15.Arjun can finish a job in 8 days and Isha in 9 days. What fraction of the job do they finish if they work together for 3 days? =
16. 16.Pooja and Tara together finish a job in 4 days. Pooja alone takes 6 days. How many days would Tara take alone?
17. 17.Farhan can finish a job in 8 days and Saanvi in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
18. 18.Kavya can finish a job in 8 days and Manav in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
19. 19.Ananya and Diya together finish a job in 8 days. Ananya alone takes 10 days. How many days would Diya take alone?
20. 20.Saanvi can finish a job in 3 days and Karan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
21. 21.Dev can finish a job in 14 days and Manav in 11 days. What fraction of the job do they finish if they work together for 3 days? =
22. 22.Rohan can finish a job in 4 days and Arjun in 24 days. Rohan works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
23. 23.Zoya can finish a job in 10 days and Pooja in 9 days. What fraction of the job do they finish if they work together for 1 day? =
24. 24.Rohan works twice as fast as Isha. Together they finish a job in 7 days. How many days would Isha take alone?
25. 25.Pooja 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 3 days? =
26. 26.Pooja works twice as fast as Meera. Together they finish a job in 12 days. How many days would Meera take alone?
27. 27.Dev can finish a job in 17 days and Pooja in 9 days. What fraction of the job do they finish if they work together for 1 day? =
28. 28.Farhan can finish a job in 5 days and Kavya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
29. 29.Meera and Vivaan together finish a job in 7 days. Meera alone takes 8 days. How many days would Vivaan take alone?
30. 30.Sneha can finish a job in 7 days and Rohan in 14 days. Sneha works alone for 4 days and then stops. Rohan finishes the rest. How many days does Rohan take?
31. 31.Meera and Kabir together finish a job in 9 days. Meera alone takes 10 days. How many days would Kabir take alone?
32. 32.Ananya can finish a job in 15 days and Tara in 20 days. What fraction of the job do they finish if they work together for 2 days? =
33. 33.Ishaan can finish a job in 15 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. =
34. 34.Karan can finish a job in 14 days and Rohan in 26 days. Karan works alone for 7 days and then stops. Rohan finishes the rest. How many days does Rohan take?
35. 35.Manav can finish a job in 5 days and Aarav in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
36. 36.Aarav and Isha together finish a job in 12 days. Aarav alone takes 16 days. How many days would Isha take alone?
37. 37.Diya and Zoya together finish a job in 10 days. Diya alone takes 15 days. How many days would Zoya take alone?
38. 38.Tara can finish a job in 4 days and Rohan in 13 days. What fraction of the job do they finish if they work together for 3 days? =
39. 39.Rahul can finish a job in 4 days and Saanvi in 8 days. Rahul works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
40. 40.Manav can finish a job in 5 days and Rohan in 7 days. What fraction of the job do they finish if they work together for 1 day? =

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