Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 453 · 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.Farhan can finish a job in 18 days and Saanvi in 24 days. Farhan works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
2. 2.Tara can finish a job in 16 days and Saanvi in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
3. 3.Dev and Arjun together finish a job in 2 days. Dev alone takes 4 days. How many days would Arjun take alone?
4. 4.Farhan can finish a job in 9 days and Rahul in 15 days. What fraction of the job do they finish if they work together for 1 day? =
5. 5.Kavya can finish a job in 16 days and Arjun in 4 days. Kavya works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?
6. 6.Dev can finish a job in 14 days and Tara in 7 days. Dev works alone for 10 days and then stops. Tara finishes the rest. How many days does Tara take?
7. 7.Pooja can finish a job in 10 days and Karan in 11 days. What fraction of the job do they finish if they work together for 1 day? =
8. 8.Arjun can finish a job in 20 days and Vivaan in 25 days. Arjun works alone for 16 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
9. 9.Manav works twice as fast as Farhan. Together they finish a job in 7 days. How many days would Farhan take alone?
10. 10.Aditya works twice as fast as Meera. Together they finish a job in 5 days. How many days would Meera take alone?
11. 11.Diya and Meera together finish a job in 12 days. Diya alone takes 18 days. How many days would Meera take alone?
12. 12.Priya works three times as fast as Manav. Together they finish a job in 2 days. How many days would Manav take alone?
13. 13.Aarav can finish a job in 13 days and Rohan in 26 days. Aarav works alone for 4 days and then stops. Rohan finishes the rest. How many days does Rohan take?
14. 14.Aarav works three times as fast as Aditya. Together they finish a job in 9 days. How many days would Aditya take alone?
15. 15.Karan and Sneha together finish a job in 6 days. Karan alone takes 7 days. How many days would Sneha take alone?
16. 16.Rahul can finish a job in 16 days and Aditya in 30 days. Rahul works alone for 8 days and then stops. Aditya finishes the rest. How many days does Aditya take?
17. 17.Priya and Aarav together finish a job in 6 days. Priya alone takes 7 days. How many days would Aarav take alone?
18. 18.Saanvi and Aditya together finish a job in 8 days. Saanvi alone takes 12 days. How many days would Aditya take alone?
19. 19.Nisha can finish a job in 13 days and Zoya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
20. 20.Diya can finish a job in 2 days and Zoya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
21. 21.Nisha can finish a job in 7 days and Zoya in 5 days. What fraction of the job do they finish if they work together for 1 day? =
22. 22.Aarav can finish a job in 5 days and Arjun in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
23. 23.Kabir and Aarav together finish a job in 12 days. Kabir alone takes 18 days. How many days would Aarav take alone?
24. 24.Pooja can finish a job in 18 days and Tara in 24 days. Pooja works alone for 9 days and then stops. Tara finishes the rest. How many days does Tara take?
25. 25.Arjun works three times as fast as Karan. Together they finish a job in 5 days. How many days would Karan take alone?
26. 26.Arjun works three times as fast as Aarav. Together they finish a job in 10 days. How many days would Aarav take alone?
27. 27.Priya and Farhan together finish a job in 12 days. Priya alone takes 20 days. How many days would Farhan take alone?
28. 28.Vivaan and Kabir together finish a job in 6 days. Vivaan alone takes 9 days. How many days would Kabir take alone?
29. 29.Sneha works three times as fast as Karan. Together they finish a job in 5 days. How many days would Karan take alone?
30. 30.Saanvi and Aditya together finish a job in 9 days. Saanvi alone takes 10 days. How many days would Aditya take alone?
31. 31.Priya can finish a job in 5 days and Farhan in 7 days. What fraction of the job do they finish if they work together for 2 days? =
32. 32.Rohan can finish a job in 6 days and Rahul in 10 days. What fraction of the job do they finish if they work together for 3 days? =
33. 33.Manav can finish a job in 14 days and Farhan in 4 days. What fraction of the job do they finish if they work together for 1 day? =
34. 34.Pooja can finish a job in 15 days and Ananya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
35. 35.Isha can finish a job in 5 days and Arjun in 18 days. What fraction of the job do they finish if they work together for 1 day? =
36. 36.Kavya and Rohan together finish a job in 6 days. Kavya alone takes 12 days. How many days would Rohan take alone?
37. 37.Aarav can finish a job in 5 days and Kabir in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
38. 38.Zoya can finish a job in 16 days and Tara in 10 days. What fraction of the job do they finish if they work together for 1 day? =
39. 39.Dev and Aditya together finish a job in 2 days. Dev alone takes 4 days. How many days would Aditya take alone?
40. 40.Saanvi can finish a job in 4 days and Diya in 6 days. What fraction of the job do they finish if they work together for 1 day? =

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