Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 437 · 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 16 days and Ananya in 12 days. Farhan works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?
2. 2.Ananya works twice as fast as Pooja. Together they finish a job in 11 days. How many days would Pooja take alone?
3. 3.Tara works twice as fast as Priya. Together they finish a job in 11 days. How many days would Priya take alone?
4. 4.Dev can finish a job in 11 days and Manav in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
5. 5.Nisha works twice as fast as Pooja. Together they finish a job in 11 days. How many days would Pooja take alone?
6. 6.Ananya and Zoya together finish a job in 5 days. Ananya alone takes 30 days. How many days would Zoya take alone?
7. 7.Priya and Ananya together finish a job in 3 days. Priya alone takes 4 days. How many days would Ananya take alone?
8. 8.Ishaan works three times as fast as Priya. Together they finish a job in 12 days. How many days would Priya take alone?
9. 9.Rohan can finish a job in 11 days and Saanvi in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
10. 10.Kabir works three times as fast as Diya. Together they finish a job in 11 days. How many days would Diya take alone?
11. 11.Kabir and Karan together finish a job in 21 days. Kabir alone takes 28 days. How many days would Karan take alone?
12. 12.Priya can finish a job in 3 days and Saanvi in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
13. 13.Priya and Kabir together finish a job in 6 days. Priya alone takes 7 days. How many days would Kabir take alone?
14. 14.Ishaan can finish a job in 7 days and Farhan in 14 days. Ishaan works alone for 1 day and then stops. Farhan finishes the rest. How many days does Farhan take?
15. 15.Farhan works twice as fast as Arjun. Together they finish a job in 4 days. How many days would Arjun take alone?
16. 16.Rahul works twice as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
17. 17.Pooja can finish a job in 4 days and Meera in 10 days. Pooja works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
18. 18.Kabir can finish a job in 9 days and Rahul in 27 days. Kabir works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
19. 19.Nisha and Dev together finish a job in 5 days. Nisha alone takes 10 days. How many days would Dev take alone?
20. 20.Ishaan can finish a job in 13 days and Aditya in 16 days. What fraction of the job do they finish if they work together for 1 day? =
21. 21.Arjun can finish a job in 30 days and Isha in 12 days. Arjun works alone for 15 days and then stops. Isha finishes the rest. How many days does Isha take?
22. 22.Arjun works twice as fast as Aditya. Together they finish a job in 10 days. How many days would Aditya take alone?
23. 23.Priya can finish a job in 8 days and Aditya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
24. 24.Aditya can finish a job in 8 days and Arjun in 18 days. What fraction of the job do they finish if they work together for 1 day? =
25. 25.Zoya can finish a job in 12 days and Saanvi in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
26. 26.Zoya can finish a job in 22 days and Vivaan in 11 days. Zoya works alone for 12 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
27. 27.Rahul can finish a job in 4 days and Ananya in 20 days. Rahul works alone for 2 days and then stops. Ananya finishes the rest. How many days does Ananya take?
28. 28.Tara can finish a job in 5 days and Arjun in 15 days. What fraction of the job do they finish if they work together for 3 days? =
29. 29.Dev can finish a job in 8 days and Ananya in 10 days. What fraction of the job do they finish if they work together for 1 day? =
30. 30.Isha works three times as fast as Vivaan. Together they finish a job in 6 days. How many days would Vivaan take alone?
31. 31.Karan can finish a job in 13 days and Sneha in 9 days. What fraction of the job do they finish if they work together for 1 day? =
32. 32.Diya can finish a job in 5 days and Aditya in 15 days. Diya works alone for 2 days and then stops. Aditya finishes the rest. How many days does Aditya take?
33. 33.Nisha can finish a job in 7 days and Farhan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
34. 34.Pooja can finish a job in 15 days and Nisha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
35. 35.Rohan and Ishaan together finish a job in 2 days. Rohan alone takes 3 days. How many days would Ishaan take alone?
36. 36.Vivaan and Karan together finish a job in 5 days. Vivaan alone takes 6 days. How many days would Karan take alone?
37. 37.Karan can finish a job in 11 days and Sneha in 9 days. What fraction of the job do they finish if they work together for 1 day? =
38. 38.Aarav and Dev together finish a job in 2 days. Aarav alone takes 6 days. How many days would Dev take alone?
39. 39.Tara and Manav together finish a job in 2 days. Tara alone takes 4 days. How many days would Manav take alone?
40. 40.Nisha can finish a job in 20 days and Rahul in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

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