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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 294 · 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.Zoya works three times as fast as Sneha. Together they finish a job in 8 days. How many days would Sneha take alone?
  2. 2.Isha works three times as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?
  3. 3.Arjun 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? =
  4. 4.Kabir can finish a job in 12 days and Ishaan in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  5. 5.Ishaan can finish a job in 19 days and Aarav in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Dev can finish a job in 7 days and Arjun in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  7. 7.Dev can finish a job in 15 days and Diya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Kavya can finish a job in 18 days and Sneha in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  9. 9.Sneha can finish a job in 3 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. =
  10. 10.Nisha works three times as fast as Meera. Together they finish a job in 12 days. How many days would Meera take alone?
  11. 11.Ananya can finish a job in 4 days and Saanvi in 16 days. Ananya works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  12. 12.Kavya can finish a job in 7 days and Manav in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  13. 13.Arjun can finish a job in 5 days and Meera in 25 days. Arjun works alone for 4 days and then stops. Meera finishes the rest. How many days does Meera take?
  14. 14.Kavya and Aditya together finish a job in 8 days. Kavya alone takes 9 days. How many days would Aditya take alone?
  15. 15.Rohan can finish a job in 6 days and Priya in 30 days. Rohan works alone for 5 days and then stops. Priya finishes the rest. How many days does Priya take?
  16. 16.Farhan works twice as fast as Karan. Together they finish a job in 3 days. How many days would Karan take alone?
  17. 17.Arjun can finish a job in 4 days and Kabir in 12 days. Arjun works alone for 1 day and then stops. Kabir finishes the rest. How many days does Kabir take?
  18. 18.Rahul can finish a job in 10 days and Ananya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Priya and Zoya together finish a job in 15 days. Priya alone takes 20 days. How many days would Zoya take alone?
  20. 20.Manav can finish a job in 19 days and Ananya in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Meera works twice as fast as Aarav. Together they finish a job in 12 days. How many days would Aarav take alone?
  22. 22.Vivaan works twice as fast as Aditya. Together they finish a job in 2 days. How many days would Aditya take alone?
  23. 23.Zoya works three times as fast as Nisha. Together they finish a job in 7 days. How many days would Nisha take alone?
  24. 24.Tara works twice as fast as Aditya. Together they finish a job in 6 days. How many days would Aditya take alone?
  25. 25.Ishaan can finish a job in 16 days and Karan in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Aditya can finish a job in 7 days and Karan in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  27. 27.Priya can finish a job in 7 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. =
  28. 28.Priya and Nisha together finish a job in 2 days. Priya alone takes 4 days. How many days would Nisha take alone?
  29. 29.Saanvi can finish a job in 8 days and Dev in 6 days. Saanvi works alone for 4 days and then stops. Dev finishes the rest. How many days does Dev take?
  30. 30.Nisha can finish a job in 5 days and Rohan in 25 days. Nisha works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  31. 31.Meera works three times as fast as Saanvi. Together they finish a job in 3 days. How many days would Saanvi take alone?
  32. 32.Vivaan can finish a job in 9 days and Dev in 6 days. Vivaan works alone for 3 days and then stops. Dev finishes the rest. How many days does Dev take?
  33. 33.Arjun works twice as fast as Karan. Together they finish a job in 8 days. How many days would Karan take alone?
  34. 34.Arjun can finish a job in 14 days and Pooja in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  35. 35.Tara can finish a job in 7 days and Dev in 28 days. Tara works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
  36. 36.Kavya can finish a job in 10 days and Ananya in 20 days. Kavya works alone for 5 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  37. 37.Nisha can finish a job in 6 days and Kavya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Saanvi works twice as fast as Ananya. Together they finish a job in 12 days. How many days would Ananya take alone?
  39. 39.Pooja can finish a job in 7 days and Meera in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Pooja can finish a job in 5 days and Tara in 25 days. Pooja works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?

Answer key

  1. 32
  2. 16
  3. 29/68
  4. 7/12
  5. 133/26
  6. 16/21
  7. 255/32
  8. 7/15
  9. 12/7
  10. 48
  11. 4
  12. 19/28
  13. 5
  14. 72
  15. 5
  16. 9
  17. 9
  18. 15/4
  19. 60
  20. 69/76
  21. 36
  22. 6
  23. 28
  24. 18
  25. 13/80
  26. 16/63
  27. 28/11
  28. 4
  29. 3
  30. 10
  31. 12
  32. 4
  33. 24
  34. 10/21
  35. 20
  36. 10
  37. 24/7
  38. 36
  39. 126/25
  40. 20

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