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Time and Work Worksheet

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

Answer key

  1. 16
  2. 12/7
  3. 16
  4. 78/19
  5. 10
  6. 6
  7. 63/104
  8. 22/85
  9. 99/266
  10. 20
  11. 90/221
  12. 4
  13. 48
  14. 165/26
  15. 8
  16. 2
  17. 2
  18. 14
  19. 4
  20. 12
  21. 12
  22. 70/19
  23. 21
  24. 10
  25. 15
  26. 8
  27. 48
  28. 24
  29. 18
  30. 63/16
  31. 25
  32. 6
  33. 17/20
  34. 10/3
  35. 12
  36. 33/14
  37. 13/30
  38. 6
  39. 12
  40. 2

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