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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 109 · 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.Manav can finish a job in 8 days and Pooja in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  2. 2.Dev can finish a job in 2 days and Karan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Rohan and Saanvi together finish a job in 12 days. Rohan alone takes 20 days. How many days would Saanvi take alone?
  4. 4.Meera works twice as fast as Zoya. Together they finish a job in 3 days. How many days would Zoya take alone?
  5. 5.Rohan and Nisha together finish a job in 6 days. Rohan alone takes 10 days. How many days would Nisha take alone?
  6. 6.Meera can finish a job in 17 days and Isha in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Saanvi works three times as fast as Karan. Together they finish a job in 4 days. How many days would Karan take alone?
  8. 8.Rahul works three times as fast as Saanvi. Together they finish a job in 8 days. How many days would Saanvi take alone?
  9. 9.Isha can finish a job in 6 days and Rahul in 12 days. Isha works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  10. 10.Kavya can finish a job in 16 days and Vivaan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Kabir works three times as fast as Zoya. Together they finish a job in 5 days. How many days would Zoya take alone?
  12. 12.Isha can finish a job in 7 days and Arjun in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Sneha works three times as fast as Aarav. Together they finish a job in 9 days. How many days would Aarav take alone?
  14. 14.Manav can finish a job in 24 days and Dev in 15 days. Manav works alone for 16 days and then stops. Dev finishes the rest. How many days does Dev take?
  15. 15.Saanvi can finish a job in 7 days and Kabir in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Vivaan can finish a job in 26 days and Sneha in 28 days. Vivaan works alone for 13 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  17. 17.Saanvi and Meera together finish a job in 2 days. Saanvi alone takes 3 days. How many days would Meera take alone?
  18. 18.Meera can finish a job in 6 days and Dev in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Pooja works twice as fast as Isha. Together they finish a job in 3 days. How many days would Isha take alone?
  20. 20.Kabir can finish a job in 11 days and Saanvi in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Karan can finish a job in 8 days and Meera in 24 days. Karan works alone for 7 days and then stops. Meera finishes the rest. How many days does Meera take?
  22. 22.Sneha can finish a job in 6 days and Karan in 24 days. Sneha works alone for 1 day and then stops. Karan finishes the rest. How many days does Karan take?
  23. 23.Isha and Arjun together finish a job in 3 days. Isha alone takes 6 days. How many days would Arjun take alone?
  24. 24.Sneha can finish a job in 16 days and Meera in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Zoya and Meera together finish a job in 7 days. Zoya alone takes 14 days. How many days would Meera take alone?
  26. 26.Farhan can finish a job in 5 days and Arjun in 25 days. Farhan works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  27. 27.Dev and Priya together finish a job in 2 days. Dev alone takes 3 days. How many days would Priya take alone?
  28. 28.Tara can finish a job in 4 days and Farhan in 20 days. Tara works alone for 1 day and then stops. Farhan finishes the rest. How many days does Farhan take?
  29. 29.Meera can finish a job in 10 days and Tara in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Kabir and Isha together finish a job in 2 days. Kabir alone takes 3 days. How many days would Isha take alone?
  31. 31.Ananya and Zoya together finish a job in 4 days. Ananya alone takes 8 days. How many days would Zoya take alone?
  32. 32.Zoya and Kavya together finish a job in 4 days. Zoya alone takes 6 days. How many days would Kavya take alone?
  33. 33.Manav can finish a job in 13 days and Nisha in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  34. 34.Isha works twice as fast as Rahul. Together they finish a job in 7 days. How many days would Rahul take alone?
  35. 35.Saanvi can finish a job in 6 days and Ananya in 30 days. Saanvi works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  36. 36.Isha can finish a job in 16 days and Rahul in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Tara can finish a job in 7 days and Arjun in 28 days. Tara works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  38. 38.Karan can finish a job in 19 days and Priya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Ishaan can finish a job in 11 days and Farhan in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  40. 40.Isha can finish a job in 17 days and Meera in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 7/8
  2. 14/9
  3. 30
  4. 9
  5. 15
  6. 36/323
  7. 16
  8. 32
  9. 4
  10. 80/9
  11. 20
  12. 91/20
  13. 36
  14. 5
  15. 72/119
  16. 14
  17. 6
  18. 42/13
  19. 9
  20. 66/17
  21. 3
  22. 20
  23. 6
  24. 112/15
  25. 14
  26. 5
  27. 6
  28. 15
  29. 190/29
  30. 6
  31. 8
  32. 12
  33. 31/117
  34. 21
  35. 10
  36. 80/21
  37. 12
  38. 304/35
  39. 31/220
  40. 323/36

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