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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 223 · 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.Isha works three times as fast as Arjun. Together they finish a job in 3 days. How many days would Arjun take alone?
  2. 2.Arjun and Ananya together finish a job in 3 days. Arjun alone takes 4 days. How many days would Ananya take alone?
  3. 3.Zoya works three times as fast as Rahul. Together they finish a job in 4 days. How many days would Rahul take alone?
  4. 4.Saanvi and Kavya together finish a job in 3 days. Saanvi alone takes 6 days. How many days would Kavya take alone?
  5. 5.Sneha can finish a job in 4 days and Farhan in 24 days. Sneha works alone for 3 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  6. 6.Isha can finish a job in 16 days and Arjun in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Saanvi works twice as fast as Vivaan. Together they finish a job in 4 days. How many days would Vivaan take alone?
  8. 8.Isha can finish a job in 4 days and Ishaan in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  9. 9.Ishaan can finish a job in 10 days and Sneha in 5 days. Ishaan works alone for 8 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  10. 10.Ishaan works twice as fast as Farhan. Together they finish a job in 11 days. How many days would Farhan take alone?
  11. 11.Rahul can finish a job in 4 days and Pooja in 20 days. Rahul works alone for 3 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  12. 12.Saanvi can finish a job in 8 days and Manav in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Ishaan can finish a job in 3 days and Dev in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Diya can finish a job in 9 days and Sneha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Diya can finish a job in 7 days and Nisha in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Kavya can finish a job in 11 days and Tara in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  17. 17.Rohan and Isha together finish a job in 3 days. Rohan alone takes 4 days. How many days would Isha take alone?
  18. 18.Pooja can finish a job in 10 days and Rahul in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Kabir and Diya together finish a job in 2 days. Kabir alone takes 3 days. How many days would Diya take alone?
  20. 20.Pooja can finish a job in 14 days and Nisha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Farhan can finish a job in 17 days and Saanvi in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Ishaan and Kavya together finish a job in 2 days. Ishaan alone takes 3 days. How many days would Kavya take alone?
  23. 23.Nisha can finish a job in 11 days and Meera in 22 days. Nisha works alone for 7 days and then stops. Meera finishes the rest. How many days does Meera take?
  24. 24.Meera can finish a job in 20 days and Priya in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Saanvi can finish a job in 17 days and Kabir in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Vivaan can finish a job in 9 days and Ananya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Rahul works twice as fast as Aditya. Together they finish a job in 5 days. How many days would Aditya take alone?
  28. 28.Dev and Rahul together finish a job in 12 days. Dev alone takes 21 days. How many days would Rahul take alone?
  29. 29.Arjun can finish a job in 17 days and Rahul in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Kabir and Sneha together finish a job in 2 days. Kabir alone takes 6 days. How many days would Sneha take alone?
  31. 31.Ananya and Isha together finish a job in 2 days. Ananya alone takes 6 days. How many days would Isha take alone?
  32. 32.Ishaan can finish a job in 6 days and Pooja in 16 days. Ishaan works alone for 3 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  33. 33.Nisha can finish a job in 20 days and Tara in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Rohan works twice as fast as Arjun. Together they finish a job in 10 days. How many days would Arjun take alone?
  35. 35.Karan works twice as fast as Tara. Together they finish a job in 10 days. How many days would Tara take alone?
  36. 36.Rohan can finish a job in 4 days and Ishaan in 24 days. Rohan works alone for 1 day and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  37. 37.Tara can finish a job in 8 days and Aditya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Nisha can finish a job in 14 days and Dev in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Manav can finish a job in 12 days and Diya in 20 days. Manav works alone for 9 days and then stops. Diya finishes the rest. How many days does Diya take?
  40. 40.Nisha can finish a job in 7 days and Ishaan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 12
  2. 12
  3. 16
  4. 6
  5. 6
  6. 112/15
  7. 12
  8. 9/10
  9. 1
  10. 33
  11. 5
  12. 19/88
  13. 30/13
  14. 18/11
  15. 17/70
  16. 26/165
  17. 12
  18. 70/17
  19. 6
  20. 21/5
  21. 51/20
  22. 6
  23. 8
  24. 27/140
  25. 102/23
  26. 63/16
  27. 15
  28. 28
  29. 306/35
  30. 3
  31. 3
  32. 8
  33. 220/31
  34. 30
  35. 30
  36. 18
  37. 136/25
  38. 112/15
  39. 5
  40. 14/9

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