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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 272 · 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.Farhan can finish a job in 9 days and Ishaan in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  2. 2.Meera and Rohan together finish a job in 3 days. Meera alone takes 6 days. How many days would Rohan take alone?
  3. 3.Kavya can finish a job in 8 days and Aditya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Diya can finish a job in 5 days and Rahul in 25 days. Diya works alone for 2 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  5. 5.Farhan can finish a job in 7 days and Dev in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  6. 6.Saanvi and Aarav together finish a job in 2 days. Saanvi alone takes 3 days. How many days would Aarav take alone?
  7. 7.Ananya can finish a job in 6 days and Saanvi in 10 days. Ananya works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  8. 8.Tara works twice as fast as Farhan. Together they finish a job in 5 days. How many days would Farhan take alone?
  9. 9.Ishaan can finish a job in 6 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. =
  10. 10.Priya can finish a job in 12 days and Rahul in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Diya works three times as fast as Farhan. Together they finish a job in 8 days. How many days would Farhan take alone?
  12. 12.Ananya and Arjun together finish a job in 2 days. Ananya alone takes 3 days. How many days would Arjun take alone?
  13. 13.Karan can finish a job in 10 days and Saanvi in 5 days. Karan works alone for 4 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  14. 14.Nisha works twice as fast as Arjun. Together they finish a job in 5 days. How many days would Arjun take alone?
  15. 15.Meera can finish a job in 17 days and Tara in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Kavya can finish a job in 10 days and Vivaan in 12 days. Kavya works alone for 5 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  17. 17.Kabir can finish a job in 18 days and Aditya in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  18. 18.Vivaan and Diya together finish a job in 4 days. Vivaan alone takes 6 days. How many days would Diya take alone?
  19. 19.Arjun can finish a job in 20 days and Karan in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  20. 20.Nisha can finish a job in 18 days and Aditya in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Sneha works twice as fast as Priya. Together they finish a job in 7 days. How many days would Priya take alone?
  22. 22.Meera can finish a job in 13 days and Aditya in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  23. 23.Rohan can finish a job in 7 days and Kavya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Karan and Zoya together finish a job in 4 days. Karan alone takes 8 days. How many days would Zoya take alone?
  25. 25.Priya can finish a job in 5 days and Manav in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  26. 26.Tara can finish a job in 9 days and Pooja in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Vivaan can finish a job in 20 days and Zoya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Farhan can finish a job in 13 days and Isha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Pooja and Aarav together finish a job in 21 days. Pooja alone takes 30 days. How many days would Aarav take alone?
  30. 30.Manav works three times as fast as Kabir. Together they finish a job in 7 days. How many days would Kabir take alone?
  31. 31.Sneha works twice as fast as Meera. Together they finish a job in 5 days. How many days would Meera take alone?
  32. 32.Manav can finish a job in 19 days and Rohan in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  33. 33.Saanvi can finish a job in 21 days and Ishaan in 18 days. Saanvi works alone for 14 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  34. 34.Ananya can finish a job in 30 days and Aarav in 15 days. Ananya works alone for 16 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  35. 35.Dev can finish a job in 5 days and Saanvi in 20 days. Dev works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  36. 36.Saanvi can finish a job in 14 days and Rohan in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Rahul can finish a job in 21 days and Zoya in 15 days. Rahul works alone for 14 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  38. 38.Isha and Meera together finish a job in 2 days. Isha alone takes 3 days. How many days would Meera take alone?
  39. 39.Saanvi can finish a job in 25 days and Kabir in 20 days. Saanvi works alone for 5 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  40. 40.Kabir and Vivaan together finish a job in 6 days. Kabir alone takes 15 days. How many days would Vivaan take alone?

Answer key

  1. 23/63
  2. 6
  3. 16/3
  4. 15
  5. 72/119
  6. 6
  7. 5
  8. 15
  9. 78/19
  10. 48/7
  11. 32
  12. 6
  13. 3
  14. 15
  15. 29/68
  16. 6
  17. 17/48
  18. 12
  19. 9/40
  20. 4/9
  21. 21
  22. 25/52
  23. 42/13
  24. 8
  25. 8/15
  26. 36/7
  27. 380/39
  28. 39/16
  29. 70
  30. 28
  31. 15
  32. 48/95
  33. 6
  34. 7
  35. 16
  36. 29/70
  37. 5
  38. 6
  39. 16
  40. 10

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