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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 353 · 40 questions
TalentJR

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.

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

Answer key

  1. 30/17
  2. 24/5
  3. 12
  4. 6
  5. 23/60
  6. 12
  7. 6
  8. 4/15
  9. 9
  10. 20
  11. 23/66
  12. 48
  13. 66/17
  14. 6
  15. 16
  16. 9
  17. 238/31
  18. 12
  19. 171/28
  20. 33
  21. 5/2
  22. 2
  23. 12
  24. 8/45
  25. 36/11
  26. 15
  27. 6
  28. 24
  29. 30
  30. 16
  31. 16
  32. 19/39
  33. 72
  34. 48
  35. 12
  36. 72
  37. 60/91
  38. 12
  39. 6
  40. 8

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