Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 138 · 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.Ishaan works twice as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
2. 2.Kabir can finish a job in 5 days and Tara in 16 days. What fraction of the job do they finish if they work together for 2 days? =
3. 3.Zoya can finish a job in 16 days and Kabir in 14 days. What fraction of the job do they finish if they work together for 2 days? =
4. 4.Ananya can finish a job in 16 days and Kavya in 8 days. Ananya works alone for 14 days and then stops. Kavya finishes the rest. How many days does Kavya take?
5. 5.Dev works three times as fast as Saanvi. Together they finish a job in 2 days. How many days would Saanvi take alone?
6. 6.Zoya can finish a job in 10 days and Sneha in 22 days. Zoya works alone for 5 days and then stops. Sneha finishes the rest. How many days does Sneha take?
7. 7.Diya works three times as fast as Pooja. Together they finish a job in 8 days. How many days would Pooja take alone?
8. 8.Ananya works twice as fast as Priya. Together they finish a job in 3 days. How many days would Priya take alone?
9. 9.Nisha can finish a job in 10 days and Arjun in 6 days. What fraction of the job do they finish if they work together for 1 day? =
10. 10.Karan can finish a job in 8 days and Ananya in 12 days. Karan works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?
11. 11.Arjun can finish a job in 4 days and Rahul in 24 days. Arjun works alone for 1 day and then stops. Rahul finishes the rest. How many days does Rahul take?
12. 12.Ishaan can finish a job in 4 days and Priya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
13. 13.Rohan can finish a job in 9 days and Ishaan in 12 days. What fraction of the job do they finish if they work together for 1 day? =
14. 14.Meera and Karan together finish a job in 8 days. Meera alone takes 10 days. How many days would Karan take alone?
15. 15.Kavya can finish a job in 8 days and Arjun in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
16. 16.Pooja and Manav together finish a job in 4 days. Pooja alone takes 8 days. How many days would Manav take alone?
17. 17.Farhan and Kabir together finish a job in 3 days. Farhan alone takes 6 days. How many days would Kabir take alone?
18. 18.Meera works twice as fast as Ishaan. Together they finish a job in 3 days. How many days would Ishaan take alone?
19. 19.Karan and Kabir together finish a job in 10 days. Karan alone takes 12 days. How many days would Kabir take alone?
20. 20.Arjun can finish a job in 4 days and Vivaan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
21. 21.Saanvi can finish a job in 10 days and Aarav in 14 days. What fraction of the job do they finish if they work together for 1 day? =
22. 22.Nisha can finish a job in 5 days and Karan in 14 days. What fraction of the job do they finish if they work together for 2 days? =
23. 23.Aarav can finish a job in 14 days and Isha in 28 days. Aarav works alone for 7 days and then stops. Isha finishes the rest. How many days does Isha take?
24. 24.Vivaan can finish a job in 20 days and Rahul in 12 days. Vivaan works alone for 5 days and then stops. Rahul finishes the rest. How many days does Rahul take?
25. 25.Pooja can finish a job in 6 days and Saanvi in 19 days. What fraction of the job do they finish if they work together for 3 days? =
26. 26.Diya can finish a job in 4 days and Nisha in 24 days. Diya works alone for 2 days and then stops. Nisha finishes the rest. How many days does Nisha take?
27. 27.Ananya can finish a job in 12 days and Diya in 9 days. What fraction of the job do they finish if they work together for 3 days? =
28. 28.Saanvi can finish a job in 7 days and Nisha in 14 days. What fraction of the job do they finish if they work together for 2 days? =
29. 29.Vivaan works three times as fast as Priya. Together they finish a job in 2 days. How many days would Priya take alone?
30. 30.Nisha works twice as fast as Aarav. Together they finish a job in 2 days. How many days would Aarav take alone?
31. 31.Pooja can finish a job in 10 days and Aarav in 22 days. Pooja works alone for 5 days and then stops. Aarav finishes the rest. How many days does Aarav take?
32. 32.Kavya can finish a job in 9 days and Rahul in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
33. 33.Rohan can finish a job in 16 days and Meera in 24 days. Rohan works alone for 12 days and then stops. Meera finishes the rest. How many days does Meera take?
34. 34.Karan can finish a job in 20 days and Meera in 6 days. Karan works alone for 10 days and then stops. Meera finishes the rest. How many days does Meera take?
35. 35.Ishaan and Dev together finish a job in 4 days. Ishaan alone takes 6 days. How many days would Dev take alone?
36. 36.Vivaan and Dev together finish a job in 12 days. Vivaan alone takes 24 days. How many days would Dev take alone?
37. 37.Diya works twice as fast as Nisha. Together they finish a job in 5 days. How many days would Nisha take alone?
38. 38.Aarav can finish a job in 5 days and Priya in 16 days. What fraction of the job do they finish if they work together for 2 days? =
39. 39.Arjun can finish a job in 10 days and Sneha in 7 days. What fraction of the job do they finish if they work together for 1 day? =
40. 40.Ishaan can finish a job in 17 days and Pooja in 10 days. What fraction of the job do they finish if they work together for 2 days? =

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