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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 490 · 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.Aarav can finish a job in 3 days and Meera in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Ishaan can finish a job in 3 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. =
  3. 3.Rahul can finish a job in 18 days and Karan in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Aarav can finish a job in 12 days and Zoya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Priya works twice as fast as Pooja. Together they finish a job in 11 days. How many days would Pooja take alone?
  6. 6.Farhan and Karan together finish a job in 2 days. Farhan alone takes 4 days. How many days would Karan take alone?
  7. 7.Priya and Saanvi together finish a job in 5 days. Priya alone takes 6 days. How many days would Saanvi take alone?
  8. 8.Pooja works three times as fast as Saanvi. Together they finish a job in 11 days. How many days would Saanvi take alone?
  9. 9.Ishaan can finish a job in 7 days and Priya in 28 days. Ishaan works alone for 3 days and then stops. Priya finishes the rest. How many days does Priya take?
  10. 10.Rahul and Farhan together finish a job in 21 days. Rahul alone takes 30 days. How many days would Farhan take alone?
  11. 11.Manav can finish a job in 16 days and Sneha in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  12. 12.Dev works twice as fast as Farhan. Together they finish a job in 12 days. How many days would Farhan take alone?
  13. 13.Ananya can finish a job in 18 days and Rohan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Isha and Vivaan together finish a job in 8 days. Isha alone takes 10 days. How many days would Vivaan take alone?
  15. 15.Isha can finish a job in 4 days and Ishaan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Rohan and Arjun together finish a job in 5 days. Rohan alone takes 6 days. How many days would Arjun take alone?
  17. 17.Vivaan and Karan together finish a job in 4 days. Vivaan alone takes 5 days. How many days would Karan take alone?
  18. 18.Farhan can finish a job in 19 days and Karan in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  19. 19.Meera can finish a job in 19 days and Nisha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Aarav can finish a job in 20 days and Arjun in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Pooja works three times as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
  22. 22.Vivaan can finish a job in 18 days and Kabir in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Meera works twice as fast as Rohan. Together they finish a job in 6 days. How many days would Rohan take alone?
  24. 24.Meera works twice as fast as Dev. Together they finish a job in 9 days. How many days would Dev take alone?
  25. 25.Arjun and Vivaan together finish a job in 8 days. Arjun alone takes 16 days. How many days would Vivaan take alone?
  26. 26.Karan and Kabir together finish a job in 3 days. Karan alone takes 4 days. How many days would Kabir take alone?
  27. 27.Aditya can finish a job in 6 days and Ishaan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Manav can finish a job in 10 days and Isha in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  29. 29.Vivaan can finish a job in 5 days and Kabir in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Diya works twice as fast as Priya. Together they finish a job in 2 days. How many days would Priya take alone?
  31. 31.Saanvi can finish a job in 16 days and Isha in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Meera can finish a job in 5 days and Diya in 10 days. Meera works alone for 1 day and then stops. Diya finishes the rest. How many days does Diya take?
  33. 33.Isha can finish a job in 9 days and Dev in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  34. 34.Arjun works three times as fast as Kabir. Together they finish a job in 8 days. How many days would Kabir take alone?
  35. 35.Aarav works three times as fast as Karan. Together they finish a job in 11 days. How many days would Karan take alone?
  36. 36.Diya can finish a job in 3 days and Ishaan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Farhan works twice as fast as Vivaan. Together they finish a job in 7 days. How many days would Vivaan take alone?
  38. 38.Diya can finish a job in 20 days and Meera in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  39. 39.Karan and Meera together finish a job in 2 days. Karan alone takes 3 days. How many days would Meera take alone?
  40. 40.Nisha and Arjun together finish a job in 6 days. Nisha alone takes 8 days. How many days would Arjun take alone?

Answer key

  1. 5/2
  2. 33/14
  3. 37/114
  4. 4
  5. 33
  6. 4
  7. 30
  8. 44
  9. 16
  10. 70
  11. 15/56
  12. 36
  13. 9/5
  14. 40
  15. 20/9
  16. 30
  17. 20
  18. 35/304
  19. 304/35
  20. 13/60
  21. 16
  22. 16/63
  23. 18
  24. 27
  25. 16
  26. 12
  27. 30/7
  28. 21/110
  29. 72/95
  30. 6
  31. 87/208
  32. 8
  33. 16/21
  34. 32
  35. 44
  36. 42/17
  37. 21
  38. 27/70
  39. 6
  40. 24

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