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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 113 · 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.Karan can finish a job in 16 days and Diya in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  2. 2.Zoya works twice as fast as Meera. Together they finish a job in 6 days. How many days would Meera take alone?
  3. 3.Manav and Meera together finish a job in 2 days. Manav alone takes 4 days. How many days would Meera take alone?
  4. 4.Rahul can finish a job in 8 days and Manav in 4 days. Rahul works alone for 6 days and then stops. Manav finishes the rest. How many days does Manav take?
  5. 5.Aditya works twice as fast as Nisha. Together they finish a job in 11 days. How many days would Nisha take alone?
  6. 6.Manav can finish a job in 9 days and Rohan in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  7. 7.Zoya and Tara together finish a job in 6 days. Zoya alone takes 12 days. How many days would Tara take alone?
  8. 8.Diya can finish a job in 18 days and Isha in 9 days. Diya works alone for 6 days and then stops. Isha finishes the rest. How many days does Isha take?
  9. 9.Kabir can finish a job in 20 days and Meera in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Vivaan can finish a job in 8 days and Zoya in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Tara and Aarav together finish a job in 8 days. Tara alone takes 9 days. How many days would Aarav take alone?
  12. 12.Manav and Kavya together finish a job in 2 days. Manav alone takes 3 days. How many days would Kavya take alone?
  13. 13.Tara can finish a job in 6 days and Aditya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Manav can finish a job in 8 days and Kavya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Diya and Ananya together finish a job in 2 days. Diya alone takes 6 days. How many days would Ananya take alone?
  16. 16.Isha can finish a job in 9 days and Rohan in 30 days. Isha works alone for 6 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  17. 17.Ananya and Rohan together finish a job in 7 days. Ananya alone takes 8 days. How many days would Rohan take alone?
  18. 18.Isha works twice as fast as Rohan. Together they finish a job in 3 days. How many days would Rohan take alone?
  19. 19.Kabir and Pooja together finish a job in 4 days. Kabir alone takes 20 days. How many days would Pooja take alone?
  20. 20.Isha can finish a job in 14 days and Rohan in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Aarav can finish a job in 16 days and Rohan in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Pooja can finish a job in 7 days and Aditya in 20 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 7 days and Aarav in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Ishaan can finish a job in 4 days and Karan in 10 days. Ishaan works alone for 2 days and then stops. Karan finishes the rest. How many days does Karan take?
  25. 25.Zoya works twice as fast as Rohan. Together they finish a job in 7 days. How many days would Rohan take alone?
  26. 26.Rahul can finish a job in 18 days and Manav in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Meera works twice as fast as Dev. Together they finish a job in 10 days. How many days would Dev take alone?
  28. 28.Priya can finish a job in 17 days and Manav in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  29. 29.Isha can finish a job in 19 days and Nisha in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Zoya can finish a job in 15 days and Ananya in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  31. 31.Rahul can finish a job in 14 days and Kavya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Dev works twice as fast as Manav. Together they finish a job in 6 days. How many days would Manav take alone?
  33. 33.Pooja and Isha together finish a job in 2 days. Pooja alone takes 3 days. How many days would Isha take alone?
  34. 34.Zoya can finish a job in 15 days and Manav in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  35. 35.Saanvi can finish a job in 14 days and Aarav in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Diya can finish a job in 28 days and Kabir in 12 days. Diya works alone for 14 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  37. 37.Aarav works three times as fast as Nisha. Together they finish a job in 9 days. How many days would Nisha take alone?
  38. 38.Isha can finish a job in 2 days and Kabir in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Nisha can finish a job in 18 days and Pooja in 27 days. Nisha works alone for 16 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  40. 40.Nisha can finish a job in 18 days and Ananya in 4 days. Nisha works alone for 9 days and then stops. Ananya finishes the rest. How many days does Ananya take?

Answer key

  1. 29/104
  2. 18
  3. 4
  4. 1
  5. 33
  6. 13/18
  7. 12
  8. 6
  9. 19/90
  10. 33/56
  11. 72
  12. 6
  13. 9/2
  14. 56/15
  15. 3
  16. 10
  17. 56
  18. 9
  19. 5
  20. 19/35
  21. 11/48
  22. 140/27
  23. 91/20
  24. 5
  25. 21
  26. 45/7
  27. 30
  28. 29/204
  29. 108/323
  30. 28/65
  31. 70/19
  32. 18
  33. 6
  34. 29/70
  35. 56/11
  36. 6
  37. 36
  38. 34/19
  39. 3
  40. 2

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