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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 215 · 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.Kabir works three times as fast as Arjun. Together they finish a job in 6 days. How many days would Arjun take alone?
  2. 2.Arjun can finish a job in 7 days and Ananya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Ananya and Priya together finish a job in 4 days. Ananya alone takes 12 days. How many days would Priya take alone?
  4. 4.Diya works three times as fast as Ishaan. Together they finish a job in 2 days. How many days would Ishaan take alone?
  5. 5.Isha can finish a job in 10 days and Pooja in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Rohan works three times as fast as Karan. Together they finish a job in 5 days. How many days would Karan take alone?
  7. 7.Karan works three times as fast as Farhan. Together they finish a job in 10 days. How many days would Farhan take alone?
  8. 8.Saanvi works twice as fast as Pooja. Together they finish a job in 7 days. How many days would Pooja take alone?
  9. 9.Vivaan can finish a job in 30 days and Isha in 4 days. Vivaan works alone for 15 days and then stops. Isha finishes the rest. How many days does Isha take?
  10. 10.Pooja and Farhan together finish a job in 4 days. Pooja alone takes 6 days. How many days would Farhan take alone?
  11. 11.Meera works three times as fast as Aarav. Together they finish a job in 12 days. How many days would Aarav take alone?
  12. 12.Rohan and Aditya together finish a job in 18 days. Rohan alone takes 24 days. How many days would Aditya take alone?
  13. 13.Ishaan can finish a job in 27 days and Arjun in 18 days. Ishaan works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  14. 14.Diya can finish a job in 20 days and Rohan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Dev can finish a job in 4 days and Nisha in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Priya and Rohan together finish a job in 6 days. Priya alone takes 15 days. How many days would Rohan take alone?
  17. 17.Farhan can finish a job in 6 days and Karan in 21 days. Farhan works alone for 2 days and then stops. Karan finishes the rest. How many days does Karan take?
  18. 18.Diya can finish a job in 2 days and Manav in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Saanvi and Diya together finish a job in 2 days. Saanvi alone takes 4 days. How many days would Diya take alone?
  20. 20.Pooja can finish a job in 4 days and Rahul in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Tara works twice as fast as Aditya. Together they finish a job in 2 days. How many days would Aditya take alone?
  22. 22.Kavya works three times as fast as Ishaan. Together they finish a job in 9 days. How many days would Ishaan take alone?
  23. 23.Aarav and Vivaan together finish a job in 2 days. Aarav alone takes 3 days. How many days would Vivaan take alone?
  24. 24.Ishaan can finish a job in 8 days and Arjun in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Aarav can finish a job in 16 days and Aditya in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  26. 26.Pooja can finish a job in 15 days and Rohan in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  27. 27.Aditya can finish a job in 3 days and Saanvi in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Pooja can finish a job in 3 days and Diya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Kabir and Pooja together finish a job in 7 days. Kabir alone takes 14 days. How many days would Pooja take alone?
  30. 30.Manav works twice as fast as Meera. Together they finish a job in 8 days. How many days would Meera take alone?
  31. 31.Nisha can finish a job in 6 days and Farhan in 12 days. Nisha works alone for 2 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  32. 32.Aarav and Dev together finish a job in 9 days. Aarav alone takes 10 days. How many days would Dev take alone?
  33. 33.Meera can finish a job in 16 days and Rahul in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  34. 34.Aarav can finish a job in 12 days and Kavya in 21 days. Aarav works alone for 8 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  35. 35.Saanvi can finish a job in 14 days and Rohan in 26 days. Saanvi works alone for 7 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  36. 36.Aarav can finish a job in 13 days and Dev in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Ishaan can finish a job in 4 days and Arjun in 12 days. Ishaan works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  38. 38.Karan can finish a job in 14 days and Tara in 10 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 9 days and Vivaan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Farhan and Pooja together finish a job in 2 days. Farhan alone takes 6 days. How many days would Pooja take alone?

Answer key

  1. 24
  2. 63/16
  3. 6
  4. 8
  5. 6
  6. 20
  7. 40
  8. 21
  9. 2
  10. 12
  11. 48
  12. 72
  13. 16
  14. 20/3
  15. 3/8
  16. 10
  17. 14
  18. 34/19
  19. 4
  20. 1/3
  21. 6
  22. 36
  23. 6
  24. 88/19
  25. 25/72
  26. 7/60
  27. 48/19
  28. 5/2
  29. 14
  30. 24
  31. 8
  32. 90
  33. 27/176
  34. 7
  35. 13
  36. 260/33
  37. 6
  38. 35/6
  39. 9/4
  40. 3

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