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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 91 · 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.Rohan can finish a job in 4 days and Meera in 6 days. Rohan works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
  2. 2.Kavya can finish a job in 9 days and Arjun in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  3. 3.Meera and Rohan together finish a job in 3 days. Meera alone takes 6 days. How many days would Rohan take alone?
  4. 4.Ishaan can finish a job in 12 days and Rohan in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  5. 5.Meera can finish a job in 11 days and Pooja in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  6. 6.Ananya can finish a job in 18 days and Dev in 14 days. Ananya works alone for 9 days and then stops. Dev finishes the rest. How many days does Dev take?
  7. 7.Rohan can finish a job in 9 days and Sneha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Kabir and Arjun together finish a job in 6 days. Kabir alone takes 15 days. How many days would Arjun take alone?
  9. 9.Pooja and Kabir together finish a job in 3 days. Pooja alone takes 4 days. How many days would Kabir take alone?
  10. 10.Ananya and Pooja together finish a job in 2 days. Ananya alone takes 3 days. How many days would Pooja take alone?
  11. 11.Zoya and Saanvi together finish a job in 3 days. Zoya alone takes 12 days. How many days would Saanvi take alone?
  12. 12.Farhan and Manav together finish a job in 13 days. Farhan alone takes 26 days. How many days would Manav take alone?
  13. 13.Farhan can finish a job in 7 days and Meera in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Ishaan can finish a job in 16 days and Farhan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Ishaan can finish a job in 6 days and Meera in 12 days. Ishaan works alone for 1 day and then stops. Meera finishes the rest. How many days does Meera take?
  16. 16.Rohan can finish a job in 11 days and Meera in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Manav can finish a job in 12 days and Nisha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Ananya can finish a job in 13 days and Farhan in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  19. 19.Pooja and Nisha together finish a job in 2 days. Pooja alone takes 4 days. How many days would Nisha take alone?
  20. 20.Vivaan can finish a job in 7 days and Diya in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Vivaan can finish a job in 8 days and Ananya in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  22. 22.Ananya can finish a job in 10 days and Farhan in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Arjun can finish a job in 9 days and Rohan in 18 days. Arjun works alone for 1 day and then stops. Rohan finishes the rest. How many days does Rohan take?
  24. 24.Priya works twice as fast as Farhan. Together they finish a job in 2 days. How many days would Farhan take alone?
  25. 25.Vivaan works three times as fast as Aarav. Together they finish a job in 9 days. How many days would Aarav take alone?
  26. 26.Kavya and Diya together finish a job in 10 days. Kavya alone takes 30 days. How many days would Diya take alone?
  27. 27.Karan can finish a job in 5 days and Manav in 20 days. Karan works alone for 3 days and then stops. Manav finishes the rest. How many days does Manav take?
  28. 28.Vivaan can finish a job in 13 days and Isha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Tara works twice as fast as Sneha. Together they finish a job in 5 days. How many days would Sneha take alone?
  30. 30.Rohan can finish a job in 8 days and Pooja in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Kabir can finish a job in 14 days and Isha in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Ishaan can finish a job in 3 days and Kavya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Priya can finish a job in 5 days and Kavya in 30 days. Priya works alone for 1 day and then stops. Kavya finishes the rest. How many days does Kavya take?
  34. 34.Arjun can finish a job in 16 days and Manav in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  35. 35.Farhan can finish a job in 19 days and Karan in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Dev can finish a job in 18 days and Zoya in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Farhan works three times as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
  38. 38.Zoya and Vivaan together finish a job in 6 days. Zoya alone takes 9 days. How many days would Vivaan take alone?
  39. 39.Diya can finish a job in 16 days and Dev in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Dev works three times as fast as Ananya. Together they finish a job in 2 days. How many days would Ananya take alone?

Answer key

  1. 3
  2. 7/12
  3. 6
  4. 13/84
  5. 17/22
  6. 7
  7. 6
  8. 10
  9. 12
  10. 6
  11. 4
  12. 26
  13. 21/10
  14. 80/9
  15. 10
  16. 110/21
  17. 36/5
  18. 29/208
  19. 4
  20. 25/42
  21. 39/40
  22. 3/5
  23. 16
  24. 6
  25. 36
  26. 15
  27. 8
  28. 65/18
  29. 15
  30. 72/13
  31. 75/154
  32. 51/20
  33. 24
  34. 21/40
  35. 39/190
  36. 17/48
  37. 16
  38. 18
  39. 144/17
  40. 8

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