Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 92 · 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.Zoya can finish a job in 8 days and Nisha in 18 days. What fraction of the job do they finish if they work together for 3 days? =
2. 2.Vivaan works twice as fast as Aarav. Together they finish a job in 4 days. How many days would Aarav take alone?
3. 3.Kabir can finish a job in 3 days and Saanvi in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
4. 4.Karan can finish a job in 3 days and Kavya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
5. 5.Rohan can finish a job in 4 days and Arjun in 6 days. Rohan works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
6. 6.Farhan can finish a job in 16 days and Nisha in 8 days. Farhan works alone for 6 days and then stops. Nisha finishes the rest. How many days does Nisha take?
7. 7.Aarav and Rahul together finish a job in 2 days. Aarav alone takes 4 days. How many days would Rahul take alone?
8. 8.Tara can finish a job in 4 days and Ishaan in 17 days. What fraction of the job do they finish if they work together for 2 days? =
9. 9.Farhan and Arjun together finish a job in 10 days. Farhan alone takes 14 days. How many days would Arjun take alone?
10. 10.Sneha and Zoya together finish a job in 2 days. Sneha alone takes 3 days. How many days would Zoya take alone?
11. 11.Kabir can finish a job in 4 days and Manav in 6 days. Kabir works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
12. 12.Aarav can finish a job in 6 days and Saanvi in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
13. 13.Aditya can finish a job in 28 days and Meera in 14 days. Aditya works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
14. 14.Ananya can finish a job in 11 days and Tara in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
15. 15.Diya and Rohan together finish a job in 7 days. Diya alone takes 8 days. How many days would Rohan take alone?
16. 16.Isha can finish a job in 10 days and Karan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
17. 17.Rohan can finish a job in 12 days and Nisha in 26 days. Rohan works alone for 6 days and then stops. Nisha finishes the rest. How many days does Nisha take?
18. 18.Diya and Tara together finish a job in 2 days. Diya alone takes 3 days. How many days would Tara take alone?
19. 19.Arjun can finish a job in 12 days and Aarav in 28 days. Arjun works alone for 3 days and then stops. Aarav finishes the rest. How many days does Aarav take?
20. 20.Meera can finish a job in 8 days and Rohan in 20 days. Meera works alone for 6 days and then stops. Rohan finishes the rest. How many days does Rohan take?
21. 21.Saanvi can finish a job in 9 days and Rohan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
22. 22.Diya can finish a job in 10 days and Rahul in 5 days. What fraction of the job do they finish if they work together for 2 days? =
23. 23.Zoya works twice as fast as Nisha. Together they finish a job in 8 days. How many days would Nisha take alone?
24. 24.Nisha and Isha together finish a job in 6 days. Nisha alone takes 15 days. How many days would Isha take alone?
25. 25.Karan and Meera together finish a job in 2 days. Karan alone takes 3 days. How many days would Meera take alone?
26. 26.Farhan works three times as fast as Saanvi. Together they finish a job in 9 days. How many days would Saanvi take alone?
27. 27.Arjun can finish a job in 9 days and Saanvi in 12 days. What fraction of the job do they finish if they work together for 1 day? =
28. 28.Aditya can finish a job in 4 days and Karan in 26 days. Aditya works alone for 2 days and then stops. Karan finishes the rest. How many days does Karan take?
29. 29.Meera can finish a job in 8 days and Saanvi in 9 days. What fraction of the job do they finish if they work together for 2 days? =
30. 30.Tara can finish a job in 12 days and Zoya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
31. 31.Diya and Arjun together finish a job in 3 days. Diya alone takes 6 days. How many days would Arjun take alone?
32. 32.Diya works three times as fast as Arjun. Together they finish a job in 10 days. How many days would Arjun take alone?
33. 33.Karan can finish a job in 10 days and Farhan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
34. 34.Saanvi can finish a job in 4 days and Tara in 17 days. What fraction of the job do they finish if they work together for 1 day? =
35. 35.Nisha and Sneha together finish a job in 7 days. Nisha alone takes 8 days. How many days would Sneha take alone?
36. 36.Kavya can finish a job in 9 days and Pooja in 27 days. Kavya works alone for 8 days and then stops. Pooja finishes the rest. How many days does Pooja take?
37. 37.Isha and Pooja together finish a job in 10 days. Isha alone takes 12 days. How many days would Pooja take alone?
38. 38.Diya and Ananya together finish a job in 2 days. Diya alone takes 4 days. How many days would Ananya take alone?
39. 39.Saanvi can finish a job in 16 days and Kabir in 18 days. What fraction of the job do they finish if they work together for 1 day? =
40. 40.Zoya can finish a job in 16 days and Karan in 28 days. Zoya works alone for 12 days and then stops. Karan finishes the rest. How many days does Karan take?

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