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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 405 · 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 10 days and Karan in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  2. 2.Priya can finish a job in 6 days and Manav in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  3. 3.Farhan can finish a job in 14 days and Isha in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Aditya can finish a job in 7 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. =
  5. 5.Diya can finish a job in 4 days and Kavya in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  6. 6.Manav works three times as fast as Rahul. Together they finish a job in 11 days. How many days would Rahul take alone?
  7. 7.Aarav can finish a job in 10 days and Tara in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  8. 8.Ishaan and Farhan together finish a job in 4 days. Ishaan alone takes 5 days. How many days would Farhan take alone?
  9. 9.Dev works twice as fast as Ishaan. Together they finish a job in 9 days. How many days would Ishaan take alone?
  10. 10.Manav can finish a job in 13 days and Farhan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Kavya can finish a job in 4 days and Arjun in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Meera can finish a job in 18 days and Dev in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Farhan can finish a job in 2 days and Sneha in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Saanvi and Priya together finish a job in 21 days. Saanvi alone takes 28 days. How many days would Priya take alone?
  15. 15.Tara and Aarav together finish a job in 4 days. Tara alone takes 20 days. How many days would Aarav take alone?
  16. 16.Kabir can finish a job in 12 days and Ishaan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Diya can finish a job in 14 days and Saanvi in 7 days. Diya works alone for 12 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  18. 18.Priya and Pooja together finish a job in 8 days. Priya alone takes 9 days. How many days would Pooja take alone?
  19. 19.Nisha and Isha together finish a job in 2 days. Nisha alone takes 4 days. How many days would Isha take alone?
  20. 20.Dev can finish a job in 13 days and Saanvi in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Arjun can finish a job in 17 days and Zoya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Meera and Isha together finish a job in 12 days. Meera alone takes 20 days. How many days would Isha take alone?
  23. 23.Kavya and Tara together finish a job in 12 days. Kavya alone takes 18 days. How many days would Tara take alone?
  24. 24.Priya and Saanvi together finish a job in 2 days. Priya alone takes 3 days. How many days would Saanvi take alone?
  25. 25.Aditya can finish a job in 15 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. =
  26. 26.Dev can finish a job in 16 days and Manav in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Aarav can finish a job in 2 days and Dev in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Kabir can finish a job in 7 days and Isha in 14 days. Kabir works alone for 6 days and then stops. Isha finishes the rest. How many days does Isha take?
  29. 29.Saanvi can finish a job in 10 days and Tara in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Rahul can finish a job in 15 days and Nisha in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  31. 31.Dev and Isha together finish a job in 12 days. Dev alone takes 30 days. How many days would Isha take alone?
  32. 32.Pooja can finish a job in 18 days and Rohan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Rohan 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. =
  34. 34.Nisha can finish a job in 22 days and Kavya in 28 days. Nisha works alone for 11 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  35. 35.Saanvi can finish a job in 12 days and Karan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Nisha works three times as fast as Priya. Together they finish a job in 5 days. How many days would Priya take alone?
  37. 37.Rahul can finish a job in 18 days and Priya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Vivaan works three times as fast as Rohan. Together they finish a job in 7 days. How many days would Rohan take alone?
  39. 39.Saanvi can finish a job in 10 days and Arjun in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Arjun can finish a job in 17 days and Kabir in 16 days. What fraction of the job do they finish if they work together for 1 day? =

Answer key

  1. 7/10
  2. 19/26
  3. 33/56
  4. 14/9
  5. 15/16
  6. 44
  7. 8/15
  8. 20
  9. 27
  10. 182/27
  11. 10/3
  12. 234/31
  13. 20/11
  14. 84
  15. 5
  16. 3
  17. 1
  18. 72
  19. 4
  20. 96/247
  21. 170/27
  22. 30
  23. 36
  24. 6
  25. 30/17
  26. 16/5
  27. 3/2
  28. 2
  29. 130/23
  30. 1/2
  31. 20
  32. 144/17
  33. 28/11
  34. 14
  35. 156/25
  36. 20
  37. 342/37
  38. 28
  39. 20/3
  40. 33/272

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