Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 465 · 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 and Saanvi together finish a job in 9 days. Aarav alone takes 12 days. How many days would Saanvi take alone?
2. 2.Farhan can finish a job in 16 days and Arjun in 5 days. What fraction of the job do they finish if they work together for 3 days? =
3. 3.Farhan can finish a job in 15 days and Nisha in 8 days. What fraction of the job do they finish if they work together for 2 days? =
4. 4.Pooja works twice as fast as Arjun. Together they finish a job in 12 days. How many days would Arjun take alone?
5. 5.Isha works three times as fast as Kabir. Together they finish a job in 9 days. How many days would Kabir take alone?
6. 6.Priya can finish a job in 4 days and Aarav in 8 days. Priya works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
7. 7.Isha can finish a job in 16 days and Zoya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
8. 8.Meera works three times as fast as Dev. Together they finish a job in 9 days. How many days would Dev take alone?
9. 9.Nisha can finish a job in 13 days and Farhan in 10 days. What fraction of the job do they finish if they work together for 3 days? =
10. 10.Nisha works twice as fast as Karan. Together they finish a job in 11 days. How many days would Karan take alone?
11. 11.Manav works twice as fast as Arjun. Together they finish a job in 9 days. How many days would Arjun take alone?
12. 12.Diya can finish a job in 4 days and Arjun in 26 days. Diya works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
13. 13.Kavya can finish a job in 15 days and Karan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
14. 14.Nisha works three times as fast as Kavya. Together they finish a job in 4 days. How many days would Kavya take alone?
15. 15.Pooja and Kabir together finish a job in 3 days. Pooja alone takes 4 days. How many days would Kabir take alone?
16. 16.Pooja can finish a job in 13 days and Vivaan in 11 days. What fraction of the job do they finish if they work together for 1 day? =
17. 17.Nisha can finish a job in 6 days and Meera in 9 days. What fraction of the job do they finish if they work together for 1 day? =
18. 18.Rahul and Vivaan together finish a job in 3 days. Rahul alone takes 4 days. How many days would Vivaan take alone?
19. 19.Ishaan works twice as fast as Pooja. Together they finish a job in 5 days. How many days would Pooja take alone?
20. 20.Aarav can finish a job in 8 days and Aditya in 10 days. Aarav works alone for 4 days and then stops. Aditya finishes the rest. How many days does Aditya take?
21. 21.Meera can finish a job in 10 days and Aditya in 6 days. Meera works alone for 5 days and then stops. Aditya finishes the rest. How many days does Aditya take?
22. 22.Nisha can finish a job in 16 days and Diya in 14 days. Nisha works alone for 8 days and then stops. Diya finishes the rest. How many days does Diya take?
23. 23.Ananya can finish a job in 5 days and Zoya in 20 days. Ananya works alone for 4 days and then stops. Zoya finishes the rest. How many days does Zoya take?
24. 24.Aditya can finish a job in 5 days and Isha in 10 days. Aditya works alone for 2 days and then stops. Isha finishes the rest. How many days does Isha take?
25. 25.Arjun can finish a job in 12 days and Nisha in 4 days. Arjun works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
26. 26.Kabir works twice as fast as Rohan. Together they finish a job in 5 days. How many days would Rohan take alone?
27. 27.Ishaan and Arjun together finish a job in 2 days. Ishaan alone takes 3 days. How many days would Arjun take alone?
28. 28.Aditya can finish a job in 19 days and Pooja in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
29. 29.Ananya works twice as fast as Kavya. Together they finish a job in 7 days. How many days would Kavya take alone?
30. 30.Ishaan and Aarav together finish a job in 10 days. Ishaan alone takes 14 days. How many days would Aarav take alone?
31. 31.Rahul works three times as fast as Kavya. Together they finish a job in 3 days. How many days would Kavya take alone?
32. 32.Vivaan can finish a job in 6 days and Dev in 20 days. What fraction of the job do they finish if they work together for 2 days? =
33. 33.Aarav can finish a job in 12 days and Kavya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
34. 34.Aditya can finish a job in 4 days and Tara in 12 days. Aditya works alone for 2 days and then stops. Tara finishes the rest. How many days does Tara take?
35. 35.Priya can finish a job in 16 days and Zoya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
36. 36.Rohan and Rahul together finish a job in 8 days. Rohan alone takes 9 days. How many days would Rahul take alone?
37. 37.Diya and Zoya together finish a job in 4 days. Diya alone takes 8 days. How many days would Zoya take alone?
38. 38.Isha works three times as fast as Nisha. Together they finish a job in 7 days. How many days would Nisha take alone?
39. 39.Dev can finish a job in 13 days and Pooja in 11 days. What fraction of the job do they finish if they work together for 3 days? =
40. 40.Kavya works twice as fast as Aarav. Together they finish a job in 7 days. How many days would Aarav take alone?

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