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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 478 · 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.Aditya can finish a job in 18 days and Tara in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Rohan can finish a job in 14 days and Dev in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  3. 3.Nisha and Arjun together finish a job in 3 days. Nisha alone takes 4 days. How many days would Arjun take alone?
  4. 4.Farhan can finish a job in 9 days and Dev in 27 days. Farhan works alone for 1 day and then stops. Dev finishes the rest. How many days does Dev take?
  5. 5.Vivaan can finish a job in 6 days and Aditya in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  6. 6.Pooja works twice as fast as Manav. Together they finish a job in 9 days. How many days would Manav take alone?
  7. 7.Diya can finish a job in 19 days and Farhan in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  8. 8.Diya can finish a job in 21 days and Kabir in 27 days. Diya works alone for 7 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  9. 9.Aditya can finish a job in 15 days and Meera in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Vivaan can finish a job in 6 days and Isha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Dev can finish a job in 10 days and Aarav in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  12. 12.Pooja can finish a job in 6 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. =
  13. 13.Nisha can finish a job in 14 days and Meera in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Ishaan and Karan together finish a job in 10 days. Ishaan alone takes 20 days. How many days would Karan take alone?
  15. 15.Ananya works three times as fast as Nisha. Together they finish a job in 12 days. How many days would Nisha take alone?
  16. 16.Nisha works twice as fast as Zoya. Together they finish a job in 12 days. How many days would Zoya take alone?
  17. 17.Isha can finish a job in 11 days and Karan in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Karan can finish a job in 10 days and Manav in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Ananya works twice as fast as Isha. Together they finish a job in 3 days. How many days would Isha take alone?
  20. 20.Aditya can finish a job in 6 days and Saanvi in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Rahul can finish a job in 7 days and Ananya in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  22. 22.Pooja can finish a job in 7 days and Arjun in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Diya and Rahul together finish a job in 3 days. Diya alone takes 4 days. How many days would Rahul take alone?
  24. 24.Zoya can finish a job in 12 days and Rohan in 6 days. Zoya works alone for 10 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  25. 25.Vivaan can finish a job in 16 days and Rohan in 24 days. Vivaan works alone for 14 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  26. 26.Ananya works twice as fast as Sneha. Together they finish a job in 11 days. How many days would Sneha take alone?
  27. 27.Meera works three times as fast as Nisha. Together they finish a job in 12 days. How many days would Nisha take alone?
  28. 28.Aditya can finish a job in 4 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. =
  29. 29.Karan can finish a job in 15 days and Rohan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Meera works twice as fast as Nisha. Together they finish a job in 10 days. How many days would Nisha take alone?
  31. 31.Kabir can finish a job in 8 days and Aditya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Manav and Farhan together finish a job in 10 days. Manav alone takes 12 days. How many days would Farhan take alone?
  33. 33.Sneha can finish a job in 12 days and Ananya in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  34. 34.Saanvi can finish a job in 19 days and Manav in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  35. 35.Rohan can finish a job in 14 days and Priya in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Dev and Nisha together finish a job in 6 days. Dev alone takes 24 days. How many days would Nisha take alone?
  37. 37.Saanvi can finish a job in 18 days and Tara in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  38. 38.Arjun can finish a job in 15 days and Ananya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Ishaan works twice as fast as Kabir. Together they finish a job in 2 days. How many days would Kabir take alone?
  40. 40.Rahul can finish a job in 19 days and Aarav in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 90/23
  2. 16/63
  3. 12
  4. 24
  5. 5/6
  6. 27
  7. 68/285
  8. 18
  9. 30/17
  10. 66/17
  11. 13/40
  12. 42/13
  13. 238/31
  14. 20
  15. 48
  16. 36
  17. 20/99
  18. 30/13
  19. 9
  20. 15/4
  21. 15/28
  22. 25/126
  23. 12
  24. 1
  25. 3
  26. 33
  27. 48
  28. 44/15
  29. 45/8
  30. 30
  31. 152/27
  32. 60
  33. 25/52
  34. 39/380
  35. 12/35
  36. 8
  37. 2/9
  38. 45/8
  39. 6
  40. 209/30

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