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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 66 · 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.Nisha works three times as fast as Manav. Together they finish a job in 2 days. How many days would Manav take alone?
  2. 2.Kavya can finish a job in 14 days and Meera in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Aarav can finish a job in 8 days and Sneha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Kavya can finish a job in 15 days and Diya in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  5. 5.Rohan can finish a job in 12 days and Nisha in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  6. 6.Rohan and Pooja together finish a job in 10 days. Rohan alone takes 14 days. How many days would Pooja take alone?
  7. 7.Karan can finish a job in 9 days and Meera in 6 days. Karan works alone for 6 days and then stops. Meera finishes the rest. How many days does Meera take?
  8. 8.Rahul can finish a job in 18 days and Manav in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Meera can finish a job in 7 days and Aarav in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Kavya can finish a job in 6 days and Farhan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Vivaan and Farhan together finish a job in 3 days. Vivaan alone takes 4 days. How many days would Farhan take alone?
  12. 12.Diya can finish a job in 13 days and Priya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Aditya can finish a job in 4 days and Manav in 26 days. Aditya works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  14. 14.Kavya can finish a job in 9 days and Karan in 27 days. Kavya works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
  15. 15.Manav can finish a job in 10 days and Tara in 20 days. Manav works alone for 7 days and then stops. Tara finishes the rest. How many days does Tara take?
  16. 16.Farhan and Manav together finish a job in 4 days. Farhan alone takes 6 days. How many days would Manav take alone?
  17. 17.Ishaan and Diya together finish a job in 2 days. Ishaan alone takes 3 days. How many days would Diya take alone?
  18. 18.Dev and Arjun together finish a job in 12 days. Dev alone takes 15 days. How many days would Arjun take alone?
  19. 19.Kabir can finish a job in 5 days and Sneha in 30 days. Kabir works alone for 1 day and then stops. Sneha finishes the rest. How many days does Sneha take?
  20. 20.Farhan can finish a job in 16 days and Dev in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Vivaan and Diya together finish a job in 8 days. Vivaan alone takes 10 days. How many days would Diya take alone?
  22. 22.Diya can finish a job in 30 days and Meera in 5 days. Diya works alone for 6 days and then stops. Meera finishes the rest. How many days does Meera take?
  23. 23.Karan works three times as fast as Ananya. Together they finish a job in 6 days. How many days would Ananya take alone?
  24. 24.Priya and Ananya together finish a job in 3 days. Priya alone takes 4 days. How many days would Ananya take alone?
  25. 25.Isha and Kavya together finish a job in 2 days. Isha alone takes 3 days. How many days would Kavya take alone?
  26. 26.Karan and Rohan together finish a job in 2 days. Karan alone takes 3 days. How many days would Rohan take alone?
  27. 27.Rohan can finish a job in 8 days and Ananya in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  28. 28.Aarav and Tara together finish a job in 8 days. Aarav alone takes 16 days. How many days would Tara take alone?
  29. 29.Aarav can finish a job in 13 days and Arjun in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Rohan can finish a job in 9 days and Arjun in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Rohan works three times as fast as Kavya. Together they finish a job in 4 days. How many days would Kavya take alone?
  32. 32.Priya can finish a job in 5 days and Isha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Ananya can finish a job in 10 days and Rahul in 14 days. Ananya works alone for 5 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  34. 34.Meera works three times as fast as Nisha. Together they finish a job in 8 days. How many days would Nisha take alone?
  35. 35.Ananya can finish a job in 6 days and Farhan in 28 days. Ananya works alone for 3 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  36. 36.Meera can finish a job in 6 days and Karan in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Farhan and Priya together finish a job in 10 days. Farhan alone takes 15 days. How many days would Priya take alone?
  38. 38.Aditya can finish a job in 5 days and Manav in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  39. 39.Rohan can finish a job in 14 days and Farhan in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  40. 40.Zoya can finish a job in 20 days and Kavya in 4 days. Zoya works alone for 5 days and then stops. Kavya finishes the rest. How many days does Kavya take?

Answer key

  1. 8
  2. 126/23
  3. 40/13
  4. 26/55
  5. 5/18
  6. 35
  7. 2
  8. 11/36
  9. 27/140
  10. 18/5
  11. 12
  12. 143/24
  13. 13
  14. 18
  15. 6
  16. 12
  17. 6
  18. 60
  19. 24
  20. 112/23
  21. 40
  22. 4
  23. 24
  24. 12
  25. 6
  26. 6
  27. 7/24
  28. 16
  29. 91/20
  30. 90/19
  31. 16
  32. 10/7
  33. 7
  34. 32
  35. 14
  36. 17/66
  37. 30
  38. 14/45
  39. 6/35
  40. 3

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