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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 369 · 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 and Saanvi together finish a job in 2 days. Aditya alone takes 4 days. How many days would Saanvi take alone?
  2. 2.Pooja works twice as fast as Vivaan. Together they finish a job in 3 days. How many days would Vivaan take alone?
  3. 3.Pooja works three times as fast as Karan. Together they finish a job in 5 days. How many days would Karan take alone?
  4. 4.Pooja and Manav together finish a job in 2 days. Pooja alone takes 3 days. How many days would Manav take alone?
  5. 5.Tara and Vivaan together finish a job in 21 days. Tara alone takes 30 days. How many days would Vivaan take alone?
  6. 6.Pooja can finish a job in 4 days and Farhan in 28 days. Pooja works alone for 3 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  7. 7.Nisha and Saanvi together finish a job in 4 days. Nisha alone takes 5 days. How many days would Saanvi take alone?
  8. 8.Dev works twice as fast as Kavya. Together they finish a job in 12 days. How many days would Kavya take alone?
  9. 9.Aarav can finish a job in 14 days and Saanvi in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Arjun works three times as fast as Farhan. Together they finish a job in 7 days. How many days would Farhan take alone?
  11. 11.Farhan can finish a job in 10 days and Diya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Arjun and Tara together finish a job in 2 days. Arjun alone takes 4 days. How many days would Tara take alone?
  13. 13.Tara can finish a job in 6 days and Nisha in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  14. 14.Sneha can finish a job in 3 days and Pooja in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Dev and Isha together finish a job in 2 days. Dev alone takes 3 days. How many days would Isha take alone?
  16. 16.Rohan can finish a job in 6 days and Priya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Ananya and Kabir together finish a job in 8 days. Ananya alone takes 24 days. How many days would Kabir take alone?
  18. 18.Manav can finish a job in 12 days and Tara in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Isha and Diya together finish a job in 2 days. Isha alone takes 3 days. How many days would Diya take alone?
  20. 20.Kabir can finish a job in 4 days and Saanvi in 24 days. Kabir works alone for 2 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  21. 21.Aarav and Arjun together finish a job in 2 days. Aarav alone takes 3 days. How many days would Arjun take alone?
  22. 22.Vivaan can finish a job in 6 days and Karan in 21 days. Vivaan works alone for 4 days and then stops. Karan finishes the rest. How many days does Karan take?
  23. 23.Manav can finish a job in 30 days and Farhan in 5 days. Manav works alone for 12 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  24. 24.Zoya works three times as fast as Sneha. Together they finish a job in 3 days. How many days would Sneha take alone?
  25. 25.Kabir can finish a job in 6 days and Rahul in 30 days. Kabir works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  26. 26.Rahul can finish a job in 8 days and Farhan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Manav can finish a job in 20 days and Isha in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  28. 28.Priya can finish a job in 16 days and Rohan in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  29. 29.Kabir can finish a job in 14 days and Dev in 28 days. Kabir works alone for 7 days and then stops. Dev finishes the rest. How many days does Dev take?
  30. 30.Kabir and Diya together finish a job in 9 days. Kabir alone takes 12 days. How many days would Diya take alone?
  31. 31.Vivaan works three times as fast as Karan. Together they finish a job in 6 days. How many days would Karan take alone?
  32. 32.Sneha works three times as fast as Aarav. Together they finish a job in 10 days. How many days would Aarav take alone?
  33. 33.Isha and Rohan together finish a job in 5 days. Isha alone takes 6 days. How many days would Rohan take alone?
  34. 34.Rohan can finish a job in 8 days and Meera in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  35. 35.Rohan and Dev together finish a job in 5 days. Rohan alone takes 6 days. How many days would Dev take alone?
  36. 36.Ananya and Dev together finish a job in 4 days. Ananya alone takes 6 days. How many days would Dev take alone?
  37. 37.Pooja can finish a job in 9 days and Rahul in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Aditya can finish a job in 4 days and Sneha in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Rohan works twice as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?
  40. 40.Meera can finish a job in 2 days and Pooja in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 4
  2. 9
  3. 20
  4. 6
  5. 70
  6. 7
  7. 20
  8. 36
  9. 31/238
  10. 28
  11. 35/6
  12. 4
  13. 10/21
  14. 6/5
  15. 6
  16. 60/13
  17. 12
  18. 132/23
  19. 6
  20. 12
  21. 6
  22. 7
  23. 3
  24. 12
  25. 10
  26. 8/5
  27. 13/60
  28. 21/40
  29. 14
  30. 36
  31. 24
  32. 40
  33. 30
  34. 63/104
  35. 30
  36. 12
  37. 36/13
  38. 20/7
  39. 12
  40. 34/19

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