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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 321 · 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.Kavya works twice as fast as Aarav. Together they finish a job in 2 days. How many days would Aarav take alone?
  2. 2.Sneha can finish a job in 4 days and Rohan in 22 days. Sneha works alone for 2 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  3. 3.Isha works twice as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
  4. 4.Tara and Sneha together finish a job in 6 days. Tara alone takes 7 days. How many days would Sneha take alone?
  5. 5.Zoya works three times as fast as Rahul. Together they finish a job in 2 days. How many days would Rahul take alone?
  6. 6.Saanvi and Sneha together finish a job in 6 days. Saanvi alone takes 10 days. How many days would Sneha take alone?
  7. 7.Ishaan works three times as fast as Pooja. Together they finish a job in 7 days. How many days would Pooja take alone?
  8. 8.Aarav can finish a job in 5 days and Manav in 15 days. Aarav works alone for 1 day and then stops. Manav finishes the rest. How many days does Manav take?
  9. 9.Tara can finish a job in 17 days and Kavya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Nisha can finish a job in 6 days and Aarav in 27 days. Nisha works alone for 4 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  11. 11.Kavya can finish a job in 12 days and Saanvi in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  12. 12.Farhan can finish a job in 11 days and Pooja in 22 days. Farhan works alone for 2 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  13. 13.Priya works twice as fast as Ishaan. Together they finish a job in 8 days. How many days would Ishaan take alone?
  14. 14.Meera can finish a job in 12 days and Kavya in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  15. 15.Sneha can finish a job in 19 days and Diya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Priya can finish a job in 13 days and Ananya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Arjun and Nisha together finish a job in 4 days. Arjun alone takes 12 days. How many days would Nisha take alone?
  18. 18.Meera and Pooja together finish a job in 2 days. Meera alone takes 3 days. How many days would Pooja take alone?
  19. 19.Priya can finish a job in 5 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. =
  20. 20.Farhan can finish a job in 10 days and Isha in 20 days. Farhan works alone for 9 days and then stops. Isha finishes the rest. How many days does Isha take?
  21. 21.Tara works twice as fast as Meera. Together they finish a job in 2 days. How many days would Meera take alone?
  22. 22.Aarav works twice as fast as Manav. Together they finish a job in 12 days. How many days would Manav take alone?
  23. 23.Ananya can finish a job in 13 days and Aarav in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Ishaan and Rahul together finish a job in 3 days. Ishaan alone takes 6 days. How many days would Rahul take alone?
  25. 25.Pooja and Farhan together finish a job in 2 days. Pooja alone takes 3 days. How many days would Farhan take alone?
  26. 26.Saanvi can finish a job in 5 days and Ananya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Karan can finish a job in 18 days and Vivaan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Ananya can finish a job in 3 days and Ishaan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Dev can finish a job in 10 days and Pooja in 5 days. Dev works alone for 2 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  30. 30.Aditya can finish a job in 6 days and Kavya in 12 days. Aditya works alone for 4 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  31. 31.Diya can finish a job in 8 days and Farhan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Sneha can finish a job in 13 days and Rohan in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  33. 33.Pooja and Manav together finish a job in 10 days. Pooja alone takes 15 days. How many days would Manav take alone?
  34. 34.Saanvi can finish a job in 14 days and Nisha in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  35. 35.Aditya can finish a job in 7 days and Rohan in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Nisha can finish a job in 20 days and Aditya in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Ananya works twice as fast as Nisha. Together they finish a job in 3 days. How many days would Nisha take alone?
  38. 38.Vivaan can finish a job in 14 days and Ishaan in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  39. 39.Priya can finish a job in 4 days and Aarav in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Meera can finish a job in 9 days and Rohan in 18 days. Meera works alone for 1 day and then stops. Rohan finishes the rest. How many days does Rohan take?

Answer key

  1. 6
  2. 11
  3. 24
  4. 42
  5. 8
  6. 15
  7. 28
  8. 12
  9. 153/26
  10. 9
  11. 2/3
  12. 18
  13. 24
  14. 23/66
  15. 209/30
  16. 208/29
  17. 6
  18. 6
  19. 4
  20. 2
  21. 6
  22. 36
  23. 28/195
  24. 6
  25. 6
  26. 70/19
  27. 6
  28. 30/13
  29. 4
  30. 4
  31. 152/27
  32. 60/221
  33. 30
  34. 29/105
  35. 17/70
  36. 29/90
  37. 9
  38. 27/182
  39. 12/7
  40. 16

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