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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 418 · 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.Rohan can finish a job in 7 days and Meera in 21 days. Rohan works alone for 4 days and then stops. Meera finishes the rest. How many days does Meera take?
  2. 2.Zoya can finish a job in 14 days and Sneha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Farhan can finish a job in 20 days and Manav in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  4. 4.Arjun can finish a job in 3 days and Isha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Priya can finish a job in 15 days and Ananya in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  6. 6.Diya can finish a job in 16 days and Aarav in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  7. 7.Pooja and Karan together finish a job in 2 days. Pooja alone takes 3 days. How many days would Karan take alone?
  8. 8.Rahul and Farhan together finish a job in 2 days. Rahul alone takes 6 days. How many days would Farhan take alone?
  9. 9.Rahul works three times as fast as Karan. Together they finish a job in 2 days. How many days would Karan take alone?
  10. 10.Rohan and Aditya together finish a job in 6 days. Rohan alone takes 7 days. How many days would Aditya take alone?
  11. 11.Saanvi can finish a job in 5 days and Karan in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Pooja can finish a job in 11 days and Zoya in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  13. 13.Saanvi can finish a job in 8 days and Meera in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  14. 14.Arjun works twice as fast as Vivaan. Together they finish a job in 3 days. How many days would Vivaan take alone?
  15. 15.Vivaan can finish a job in 15 days and Sneha in 21 days. Vivaan works alone for 5 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  16. 16.Manav and Arjun together finish a job in 10 days. Manav alone takes 14 days. How many days would Arjun take alone?
  17. 17.Kavya can finish a job in 18 days and Pooja in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  18. 18.Diya can finish a job in 14 days and Rohan in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  19. 19.Zoya can finish a job in 13 days and Nisha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Aditya can finish a job in 4 days and Rahul in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Priya and Manav together finish a job in 8 days. Priya alone takes 9 days. How many days would Manav take alone?
  22. 22.Aarav can finish a job in 11 days and Pooja in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Zoya can finish a job in 9 days and Arjun in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Priya can finish a job in 10 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. =
  25. 25.Rohan works three times as fast as Aditya. Together they finish a job in 3 days. How many days would Aditya take alone?
  26. 26.Saanvi can finish a job in 19 days and Nisha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Ananya can finish a job in 12 days and Farhan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Aarav works three times as fast as Kabir. Together they finish a job in 3 days. How many days would Kabir take alone?
  29. 29.Priya and Rohan together finish a job in 6 days. Priya alone takes 10 days. How many days would Rohan take alone?
  30. 30.Manav can finish a job in 4 days and Sneha in 20 days. Manav works alone for 1 day and then stops. Sneha finishes the rest. How many days does Sneha take?
  31. 31.Rohan can finish a job in 6 days and Vivaan in 24 days. Rohan works alone for 3 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  32. 32.Nisha can finish a job in 20 days and Kavya in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  33. 33.Isha can finish a job in 2 days and Ishaan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Diya can finish a job in 2 days and Priya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Rahul can finish a job in 16 days and Meera in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Farhan can finish a job in 10 days and Priya in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Tara can finish a job in 15 days and Rahul in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Manav can finish a job in 5 days and Rahul in 10 days. Manav works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  39. 39.Karan can finish a job in 5 days and Diya in 25 days. Karan works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  40. 40.Saanvi works three times as fast as Ishaan. Together they finish a job in 7 days. How many days would Ishaan take alone?

Answer key

  1. 9
  2. 21/5
  3. 19/90
  4. 12/7
  5. 4/15
  6. 45/112
  7. 6
  8. 3
  9. 8
  10. 42
  11. 39/40
  12. 56/187
  13. 21/40
  14. 9
  15. 14
  16. 35
  17. 13/36
  18. 57/70
  19. 26/15
  20. 1/3
  21. 72
  22. 132/23
  23. 13/18
  24. 20/7
  25. 12
  26. 133/26
  27. 36/7
  28. 12
  29. 15
  30. 15
  31. 12
  32. 4/15
  33. 18/11
  34. 8/5
  35. 9/40
  36. 19/45
  37. 20/3
  38. 2
  39. 15
  40. 28

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