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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 265 · 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.Arjun can finish a job in 4 days and Tara in 20 days. Arjun works alone for 3 days and then stops. Tara finishes the rest. How many days does Tara take?
  2. 2.Nisha can finish a job in 6 days and Farhan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Zoya and Isha together finish a job in 16 days. Zoya alone takes 24 days. How many days would Isha take alone?
  4. 4.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. =
  5. 5.Ananya and Dev together finish a job in 2 days. Ananya alone takes 6 days. How many days would Dev take alone?
  6. 6.Rahul can finish a job in 18 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. =
  7. 7.Dev works three times as fast as Arjun. Together they finish a job in 8 days. How many days would Arjun take alone?
  8. 8.Meera can finish a job in 8 days and Sneha in 16 days. Meera works alone for 7 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  9. 9.Nisha can finish a job in 10 days and Pooja in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Ishaan works three times as fast as Priya. Together they finish a job in 7 days. How many days would Priya take alone?
  11. 11.Priya works twice as fast as Isha. Together they finish a job in 6 days. How many days would Isha take alone?
  12. 12.Isha can finish a job in 7 days and Kabir in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Priya can finish a job in 12 days and Rahul in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Sneha can finish a job in 28 days and Isha in 24 days. Sneha works alone for 7 days and then stops. Isha finishes the rest. How many days does Isha take?
  15. 15.Karan can finish a job in 4 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. =
  16. 16.Nisha can finish a job in 18 days and Meera in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Karan can finish a job in 7 days and Nisha in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  18. 18.Rohan can finish a job in 10 days and Karan in 25 days. Rohan works alone for 6 days and then stops. Karan finishes the rest. How many days does Karan take?
  19. 19.Pooja works twice as fast as Karan. Together they finish a job in 6 days. How many days would Karan take alone?
  20. 20.Tara works three times as fast as Kavya. Together they finish a job in 12 days. How many days would Kavya take alone?
  21. 21.Rohan can finish a job in 8 days and Ananya in 24 days. Rohan works alone for 7 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  22. 22.Nisha can finish a job in 8 days and Dev in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Priya can finish a job in 14 days and Kavya in 20 days. Priya works alone for 7 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  24. 24.Meera can finish a job in 8 days and Pooja in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Isha can finish a job in 4 days and Sneha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Kavya can finish a job in 15 days and Farhan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Isha can finish a job in 6 days and Vivaan in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  28. 28.Pooja works three times as fast as Kabir. Together they finish a job in 11 days. How many days would Kabir take alone?
  29. 29.Kabir can finish a job in 8 days and Sneha in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Aditya can finish a job in 3 days and Kabir in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Diya works twice as fast as Zoya. Together they finish a job in 6 days. How many days would Zoya take alone?
  32. 32.Aditya works three times as fast as Dev. Together they finish a job in 12 days. How many days would Dev take alone?
  33. 33.Manav works three times as fast as Vivaan. Together they finish a job in 7 days. How many days would Vivaan take alone?
  34. 34.Saanvi and Kavya together finish a job in 2 days. Saanvi alone takes 3 days. How many days would Kavya take alone?
  35. 35.Nisha can finish a job in 16 days and Meera in 24 days. Nisha works alone for 12 days and then stops. Meera finishes the rest. How many days does Meera take?
  36. 36.Rohan can finish a job in 10 days and Arjun in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Farhan and Meera together finish a job in 21 days. Farhan alone takes 30 days. How many days would Meera take alone?
  38. 38.Vivaan can finish a job in 16 days and Ishaan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Ananya and Zoya together finish a job in 4 days. Ananya alone takes 8 days. How many days would Zoya take alone?
  40. 40.Zoya works three times as fast as Kabir. Together they finish a job in 9 days. How many days would Kabir take alone?

Answer key

  1. 5
  2. 30/7
  3. 48
  4. 51/20
  5. 3
  6. 9/2
  7. 32
  8. 2
  9. 20/7
  10. 28
  11. 18
  12. 11/28
  13. 7/48
  14. 18
  15. 4/3
  16. 6
  17. 52/133
  18. 10
  19. 18
  20. 48
  21. 3
  22. 25/68
  23. 10
  24. 24/7
  25. 20/9
  26. 30/17
  27. 25/114
  28. 44
  29. 24/5
  30. 60/23
  31. 18
  32. 48
  33. 28
  34. 6
  35. 6
  36. 4/15
  37. 70
  38. 176/27
  39. 8
  40. 36

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