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Time and Work Worksheet

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

Answer key

  1. 90/19
  2. 55/16
  3. 9/10
  4. 25/38
  5. 48/119
  6. 2
  7. 32/247
  8. 2
  9. 45/7
  10. 14/9
  11. 99/20
  12. 6
  13. 15
  14. 11
  15. 4
  16. 48
  17. 33
  18. 28
  19. 6
  20. 40/13
  21. 15
  22. 60
  23. 16
  24. 1/4
  25. 198/29
  26. 9
  27. 136/25
  28. 18/5
  29. 18
  30. 21
  31. 8
  32. 24
  33. 11/15
  34. 48
  35. 52/17
  36. 24
  37. 34/19
  38. 36/13
  39. 17/33
  40. 24/95

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