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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 81 · 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.Priya can finish a job in 14 days and Zoya in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  2. 2.Meera works twice as fast as Manav. Together they finish a job in 6 days. How many days would Manav take alone?
  3. 3.Tara can finish a job in 14 days and Kabir in 28 days. Tara works alone for 4 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  4. 4.Ananya and Sneha together finish a job in 2 days. Ananya alone takes 3 days. How many days would Sneha take alone?
  5. 5.Manav works three times as fast as Aditya. Together they finish a job in 2 days. How many days would Aditya take alone?
  6. 6.Nisha can finish a job in 6 days and Karan in 20 days. Nisha works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
  7. 7.Kavya can finish a job in 14 days and Zoya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Pooja can finish a job in 13 days and Ananya in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Sneha can finish a job in 21 days and Arjun in 7 days. Sneha works alone for 15 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  10. 10.Saanvi can finish a job in 8 days and Farhan in 24 days. Saanvi works alone for 4 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  11. 11.Ananya works twice as fast as Nisha. Together they finish a job in 6 days. How many days would Nisha take alone?
  12. 12.Meera and Zoya together finish a job in 5 days. Meera alone takes 6 days. How many days would Zoya take alone?
  13. 13.Zoya can finish a job in 18 days and Meera in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  14. 14.Isha and Aarav together finish a job in 3 days. Isha alone takes 4 days. How many days would Aarav take alone?
  15. 15.Dev can finish a job in 5 days and Farhan in 15 days. Dev works alone for 3 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  16. 16.Vivaan and Diya together finish a job in 4 days. Vivaan alone takes 5 days. How many days would Diya take alone?
  17. 17.Aditya can finish a job in 4 days and Dev in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Ishaan and Meera together finish a job in 4 days. Ishaan alone takes 5 days. How many days would Meera take alone?
  19. 19.Meera can finish a job in 4 days and Ananya in 12 days. Meera works alone for 1 day and then stops. Ananya finishes the rest. How many days does Ananya take?
  20. 20.Pooja and Arjun together finish a job in 8 days. Pooja alone takes 10 days. How many days would Arjun take alone?
  21. 21.Ishaan can finish a job in 6 days and Karan in 10 days. Ishaan works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
  22. 22.Meera can finish a job in 14 days and Vivaan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Ananya and Sneha together finish a job in 6 days. Ananya alone takes 9 days. How many days would Sneha take alone?
  24. 24.Priya 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. =
  25. 25.Farhan can finish a job in 13 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. =
  26. 26.Saanvi can finish a job in 15 days and Rahul in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Dev can finish a job in 15 days and Rohan in 24 days. Dev works alone for 10 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  28. 28.Tara works twice as fast as Ishaan. Together they finish a job in 6 days. How many days would Ishaan take alone?
  29. 29.Pooja and Rahul together finish a job in 3 days. Pooja alone takes 4 days. How many days would Rahul take alone?
  30. 30.Ananya can finish a job in 5 days and Saanvi in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Ananya can finish a job in 14 days and Kavya in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  32. 32.Karan can finish a job in 4 days and Meera in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Nisha can finish a job in 6 days and Dev in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Kabir can finish a job in 20 days and Saanvi in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Manav and Ishaan together finish a job in 2 days. Manav alone takes 6 days. How many days would Ishaan take alone?
  36. 36.Diya works twice as fast as Nisha. Together they finish a job in 7 days. How many days would Nisha take alone?
  37. 37.Ananya can finish a job in 14 days and Aditya in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Rahul can finish a job in 9 days and Isha in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Ishaan can finish a job in 21 days and Tara in 30 days. Ishaan works alone for 7 days and then stops. Tara finishes the rest. How many days does Tara take?
  40. 40.Aarav can finish a job in 10 days and Ishaan in 18 days. What fraction of the job do they finish if they work together for 2 days? =

Answer key

  1. 57/70
  2. 18
  3. 20
  4. 6
  5. 8
  6. 10
  7. 42/17
  8. 60/221
  9. 2
  10. 12
  11. 18
  12. 30
  13. 29/66
  14. 12
  15. 6
  16. 20
  17. 3
  18. 20
  19. 9
  20. 40
  21. 5
  22. 28/9
  23. 18
  24. 21/5
  25. 78/19
  26. 60/7
  27. 8
  28. 18
  29. 12
  30. 95/24
  31. 17/70
  32. 3
  33. 2
  34. 220/31
  35. 3
  36. 21
  37. 5/7
  38. 36/7
  39. 20
  40. 14/45

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