Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 492 · 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 three times as fast as Diya. Together they finish a job in 2 days. How many days would Diya take alone?
2. 2.Priya can finish a job in 14 days and Isha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
3. 3.Dev can finish a job in 12 days and Nisha in 6 days. Dev works alone for 8 days and then stops. Nisha finishes the rest. How many days does Nisha take?
4. 4.Zoya works three times as fast as Nisha. Together they finish a job in 2 days. How many days would Nisha take alone?
5. 5.Meera and Kabir together finish a job in 3 days. Meera alone takes 4 days. How many days would Kabir take alone?
6. 6.Pooja and Manav together finish a job in 2 days. Pooja alone takes 3 days. How many days would Manav take alone?
7. 7.Pooja can finish a job in 4 days and Karan in 16 days. What fraction of the job do they finish if they work together for 2 days? =
8. 8.Ananya and Farhan together finish a job in 15 days. Ananya alone takes 20 days. How many days would Farhan take alone?
9. 9.Vivaan and Dev together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Dev take alone?
10. 10.Farhan and Arjun together finish a job in 4 days. Farhan alone takes 5 days. How many days would Arjun take alone?
11. 11.Pooja can finish a job in 12 days and Rohan in 7 days. What fraction of the job do they finish if they work together for 1 day? =
12. 12.Meera can finish a job in 10 days and Vivaan in 6 days. Meera works alone for 5 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
13. 13.Meera can finish a job in 5 days and Saanvi in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
14. 14.Tara can finish a job in 12 days and Aarav in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
15. 15.Rahul and Isha together finish a job in 12 days. Rahul alone takes 30 days. How many days would Isha take alone?
16. 16.Aditya can finish a job in 19 days and Ananya in 5 days. What fraction of the job do they finish if they work together for 1 day? =
17. 17.Arjun works three times as fast as Rahul. Together they finish a job in 7 days. How many days would Rahul take alone?
18. 18.Tara 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 2 days? =
19. 19.Kavya works three times as fast as Dev. Together they finish a job in 9 days. How many days would Dev take alone?
20. 20.Rohan can finish a job in 19 days and Priya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
21. 21.Pooja works three times as fast as Zoya. Together they finish a job in 11 days. How many days would Zoya take alone?
22. 22.Rahul can finish a job in 12 days and Priya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
23. 23.Rahul can finish a job in 13 days and Zoya in 26 days. Rahul 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 Meera in 25 days. Aditya works alone for 4 days and then stops. Meera finishes the rest. How many days does Meera take?
25. 25.Aarav can finish a job in 3 days and Sneha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
26. 26.Arjun can finish a job in 16 days and Karan in 9 days. What fraction of the job do they finish if they work together for 2 days? =
27. 27.Aditya and Rahul together finish a job in 12 days. Aditya alone takes 21 days. How many days would Rahul take alone?
28. 28.Isha works twice as fast as Aarav. Together they finish a job in 11 days. How many days would Aarav take alone?
29. 29.Tara and Zoya together finish a job in 12 days. Tara alone takes 18 days. How many days would Zoya take alone?
30. 30.Aditya can finish a job in 3 days and Ananya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
31. 31.Ananya can finish a job in 4 days and Pooja in 7 days. What fraction of the job do they finish if they work together for 1 day? =
32. 32.Isha works three times as fast as Saanvi. Together they finish a job in 10 days. How many days would Saanvi take alone?
33. 33.Meera can finish a job in 21 days and Saanvi in 6 days. Meera works alone for 7 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
34. 34.Aarav can finish a job in 19 days and Priya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
35. 35.Rohan can finish a job in 6 days and Sneha in 13 days. What fraction of the job do they finish if they work together for 1 day? =
36. 36.Priya and Kabir together finish a job in 18 days. Priya alone takes 24 days. How many days would Kabir take alone?
37. 37.Kabir can finish a job in 7 days and Vivaan in 14 days. What fraction of the job do they finish if they work together for 2 days? =
38. 38.Tara and Kavya together finish a job in 9 days. Tara alone takes 18 days. How many days would Kavya take alone?
39. 39.Diya and Tara together finish a job in 2 days. Diya alone takes 3 days. How many days would Tara take alone?
40. 40.Arjun can finish a job in 17 days and Kabir in 14 days. What fraction of the job do they finish if they work together for 1 day? =

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