Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 445 · 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.Vivaan can finish a job in 27 days and Ananya in 9 days. Vivaan works alone for 24 days and then stops. Ananya finishes the rest. How many days does Ananya take?
2. 2.Nisha works twice as fast as Arjun. Together they finish a job in 5 days. How many days would Arjun take alone?
3. 3.Farhan can finish a job in 14 days and Arjun in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
4. 4.Priya can finish a job in 17 days and Farhan in 16 days. What fraction of the job do they finish if they work together for 2 days? =
5. 5.Arjun can finish a job in 5 days and Rohan in 20 days. Arjun works alone for 1 day and then stops. Rohan finishes the rest. How many days does Rohan take?
6. 6.Rahul and Ishaan together finish a job in 18 days. Rahul alone takes 24 days. How many days would Ishaan take alone?
7. 7.Pooja and Rohan together finish a job in 3 days. Pooja alone takes 4 days. How many days would Rohan take alone?
8. 8.Rahul works twice as fast as Kavya. Together they finish a job in 8 days. How many days would Kavya take alone?
9. 9.Aditya can finish a job in 19 days and Rahul in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
10. 10.Diya can finish a job in 10 days and Isha in 20 days. Diya works alone for 5 days and then stops. Isha finishes the rest. How many days does Isha take?
11. 11.Saanvi works twice as fast as Dev. Together they finish a job in 8 days. How many days would Dev take alone?
12. 12.Meera and Karan together finish a job in 6 days. Meera alone takes 10 days. How many days would Karan take alone?
13. 13.Priya and Manav together finish a job in 8 days. Priya alone takes 16 days. How many days would Manav take alone?
14. 14.Dev works three times as fast as Manav. Together they finish a job in 9 days. How many days would Manav take alone?
15. 15.Karan can finish a job in 18 days and Farhan in 6 days. Karan works alone for 15 days and then stops. Farhan finishes the rest. How many days does Farhan take?
16. 16.Sneha can finish a job in 7 days and Aditya in 21 days. Sneha works alone for 5 days and then stops. Aditya finishes the rest. How many days does Aditya take?
17. 17.Kabir can finish a job in 10 days and Zoya in 18 days. What fraction of the job do they finish if they work together for 3 days? =
18. 18.Saanvi can finish a job in 13 days and Diya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
19. 19.Nisha can finish a job in 6 days and Isha in 10 days. Nisha works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
20. 20.Diya works three times as fast as Vivaan. Together they finish a job in 9 days. How many days would Vivaan take alone?
21. 21.Rohan and Rahul together finish a job in 8 days. Rohan alone takes 12 days. How many days would Rahul take alone?
22. 22.Kabir can finish a job in 15 days and Ananya in 20 days. Kabir works alone for 6 days and then stops. Ananya finishes the rest. How many days does Ananya take?
23. 23.Sneha works three times as fast as Meera. Together they finish a job in 11 days. How many days would Meera take alone?
24. 24.Kabir can finish a job in 18 days and Aarav in 10 days. What fraction of the job do they finish if they work together for 1 day? =
25. 25.Manav works three times as fast as Aarav. Together they finish a job in 6 days. How many days would Aarav take alone?
26. 26.Zoya can finish a job in 26 days and Farhan in 10 days. Zoya works alone for 13 days and then stops. Farhan finishes the rest. How many days does Farhan take?
27. 27.Aditya works three times as fast as Meera. Together they finish a job in 6 days. How many days would Meera take alone?
28. 28.Rohan can finish a job in 13 days and Sneha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
29. 29.Zoya and Farhan together finish a job in 8 days. Zoya alone takes 9 days. How many days would Farhan take alone?
30. 30.Aarav and Karan together finish a job in 10 days. Aarav alone takes 30 days. How many days would Karan take alone?
31. 31.Kabir works twice as fast as Manav. Together they finish a job in 6 days. How many days would Manav take alone?
32. 32.Isha works three times as fast as Sneha. Together they finish a job in 3 days. How many days would Sneha take alone?
33. 33.Kabir can finish a job in 4 days and Ishaan in 20 days. What fraction of the job do they finish if they work together for 1 day? =
34. 34.Meera and Sneha together finish a job in 5 days. Meera alone takes 6 days. How many days would Sneha take alone?
35. 35.Karan and Tara together finish a job in 2 days. Karan alone takes 3 days. How many days would Tara take alone?
36. 36.Dev works twice as fast as Aarav. Together they finish a job in 3 days. How many days would Aarav take alone?
37. 37.Tara can finish a job in 10 days and Priya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
38. 38.Rahul and Meera together finish a job in 15 days. Rahul alone takes 18 days. How many days would Meera take alone?
39. 39.Kabir works twice as fast as Nisha. Together they finish a job in 7 days. How many days would Nisha take alone?
40. 40.Pooja can finish a job in 20 days and Saanvi in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

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