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Time and Work Worksheet

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

Answer key

  1. 12/7
  2. 6
  3. 3
  4. 9
  5. 80/13
  6. 48
  7. 112/23
  8. 32
  9. 30
  10. 30/209
  11. 75/136
  12. 60
  13. 28
  14. 30
  15. 44
  16. 4
  17. 11/24
  18. 14/3
  19. 5
  20. 6
  21. 19/42
  22. 6
  23. 36/7
  24. 15/56
  25. 7/10
  26. 8
  27. 2
  28. 81/170
  29. 3
  30. 35
  31. 12
  32. 10
  33. 24
  34. 20
  35. 15
  36. 33
  37. 132/23
  38. 255/32
  39. 20
  40. 9/14

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