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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 148 · 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.Kavya and Karan together finish a job in 8 days. Kavya alone takes 16 days. How many days would Karan take alone?
  2. 2.Aarav and Karan together finish a job in 2 days. Aarav alone takes 3 days. How many days would Karan take alone?
  3. 3.Kabir and Priya together finish a job in 5 days. Kabir alone takes 6 days. How many days would Priya take alone?
  4. 4.Aditya can finish a job in 15 days and Meera in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  5. 5.Rohan can finish a job in 2 days and Meera in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Karan can finish a job in 16 days and Dev in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Ananya and Dev together finish a job in 3 days. Ananya alone takes 6 days. How many days would Dev take alone?
  8. 8.Aditya and Farhan together finish a job in 12 days. Aditya alone takes 24 days. How many days would Farhan take alone?
  9. 9.Kabir can finish a job in 26 days and Manav in 16 days. Kabir works alone for 13 days and then stops. Manav finishes the rest. How many days does Manav take?
  10. 10.Zoya works three times as fast as Vivaan. Together they finish a job in 10 days. How many days would Vivaan take alone?
  11. 11.Aarav and Karan together finish a job in 12 days. Aarav alone takes 18 days. How many days would Karan take alone?
  12. 12.Nisha can finish a job in 4 days and Aarav in 16 days. Nisha works alone for 1 day and then stops. Aarav finishes the rest. How many days does Aarav take?
  13. 13.Manav works three times as fast as Saanvi. Together they finish a job in 2 days. How many days would Saanvi take alone?
  14. 14.Pooja can finish a job in 19 days and Kabir in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Rahul can finish a job in 9 days and Manav in 18 days. Rahul works alone for 6 days and then stops. Manav finishes the rest. How many days does Manav take?
  16. 16.Rohan works three times as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
  17. 17.Kavya works twice as fast as Aarav. Together they finish a job in 12 days. How many days would Aarav take alone?
  18. 18.Aditya can finish a job in 10 days and Ananya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Pooja can finish a job in 11 days and Isha in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  20. 20.Pooja can finish a job in 19 days and Dev in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Pooja can finish a job in 2 days and Karan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Saanvi can finish a job in 14 days and Zoya in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Ishaan can finish a job in 20 days and Aarav in 30 days. Ishaan works alone for 18 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  24. 24.Ishaan can finish a job in 12 days and Meera in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  25. 25.Farhan can finish a job in 18 days and Dev in 27 days. Farhan works alone for 10 days and then stops. Dev finishes the rest. How many days does Dev take?
  26. 26.Isha can finish a job in 20 days and Ishaan in 5 days. Isha works alone for 8 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  27. 27.Kavya can finish a job in 5 days and Sneha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Manav can finish a job in 16 days and Tara in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Karan and Ishaan together finish a job in 18 days. Karan alone takes 27 days. How many days would Ishaan take alone?
  30. 30.Ishaan and Isha together finish a job in 2 days. Ishaan alone takes 6 days. How many days would Isha take alone?
  31. 31.Tara can finish a job in 17 days and Saanvi in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  32. 32.Tara can finish a job in 14 days and Aarav in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Ananya and Zoya together finish a job in 2 days. Ananya alone takes 3 days. How many days would Zoya take alone?
  34. 34.Kavya and Rohan together finish a job in 4 days. Kavya alone takes 6 days. How many days would Rohan take alone?
  35. 35.Dev can finish a job in 8 days and Kavya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Isha can finish a job in 14 days and Karan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Diya can finish a job in 26 days and Karan in 13 days. Diya works alone for 14 days and then stops. Karan finishes the rest. How many days does Karan take?
  38. 38.Priya works twice as fast as Dev. Together they finish a job in 5 days. How many days would Dev take alone?
  39. 39.Manav works twice as fast as Ananya. Together they finish a job in 6 days. How many days would Ananya take alone?
  40. 40.Vivaan can finish a job in 5 days and Manav in 10 days. Vivaan works alone for 1 day and then stops. Manav finishes the rest. How many days does Manav take?

Answer key

  1. 16
  2. 6
  3. 30
  4. 7/15
  5. 16/9
  6. 48/19
  7. 6
  8. 24
  9. 8
  10. 40
  11. 36
  12. 12
  13. 8
  14. 30/209
  15. 6
  16. 32
  17. 36
  18. 70/17
  19. 23/44
  20. 78/133
  21. 34/19
  22. 5/21
  23. 3
  24. 31/114
  25. 12
  26. 3
  27. 30/11
  28. 208/29
  29. 54
  30. 3
  31. 35/153
  32. 17/140
  33. 6
  34. 12
  35. 8/5
  36. 154/25
  37. 6
  38. 15
  39. 18
  40. 8

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