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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 159 · 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.Ananya can finish a job in 10 days and Aarav in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Arjun can finish a job in 13 days and Saanvi in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Kabir can finish a job in 5 days and Diya in 30 days. Kabir works alone for 1 day and then stops. Diya finishes the rest. How many days does Diya take?
  4. 4.Tara can finish a job in 16 days and Priya in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  5. 5.Ananya and Ishaan together finish a job in 4 days. Ananya alone takes 8 days. How many days would Ishaan take alone?
  6. 6.Nisha can finish a job in 12 days and Rahul in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  7. 7.Sneha can finish a job in 14 days and Saanvi in 28 days. Sneha works alone for 9 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  8. 8.Isha can finish a job in 6 days and Farhan in 26 days. Isha works alone for 3 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  9. 9.Vivaan can finish a job in 5 days and Kabir in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Ananya can finish a job in 17 days and Priya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Priya works three times as fast as Zoya. Together they finish a job in 4 days. How many days would Zoya take alone?
  12. 12.Ananya can finish a job in 12 days and Karan in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  13. 13.Rohan can finish a job in 18 days and Isha in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Farhan can finish a job in 10 days and Priya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Rahul and Vivaan together finish a job in 6 days. Rahul alone takes 24 days. How many days would Vivaan take alone?
  16. 16.Rahul can finish a job in 9 days and Priya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Kavya can finish a job in 9 days and Aarav in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Vivaan can finish a job in 20 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. =
  19. 19.Rahul can finish a job in 8 days and Isha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Diya and Sneha together finish a job in 4 days. Diya alone takes 6 days. How many days would Sneha take alone?
  21. 21.Kavya can finish a job in 20 days and Dev in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Saanvi can finish a job in 16 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. =
  23. 23.Aarav can finish a job in 20 days and Manav in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  24. 24.Manav works twice as fast as Farhan. Together they finish a job in 3 days. How many days would Farhan take alone?
  25. 25.Vivaan can finish a job in 10 days and Aarav in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Kavya can finish a job in 7 days and Nisha in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Isha can finish a job in 15 days and Zoya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Vivaan can finish a job in 16 days and Meera in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  29. 29.Tara and Arjun together finish a job in 5 days. Tara alone takes 6 days. How many days would Arjun take alone?
  30. 30.Farhan can finish a job in 18 days and Arjun in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Ishaan can finish a job in 10 days and Arjun in 28 days. Ishaan works alone for 5 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  32. 32.Kabir can finish a job in 8 days and Dev in 16 days. Kabir works alone for 7 days and then stops. Dev finishes the rest. How many days does Dev take?
  33. 33.Ananya can finish a job in 7 days and Rohan in 14 days. Ananya works alone for 1 day and then stops. Rohan finishes the rest. How many days does Rohan take?
  34. 34.Pooja and Manav together finish a job in 10 days. Pooja alone takes 14 days. How many days would Manav take alone?
  35. 35.Rohan can finish a job in 7 days and Arjun in 14 days. Rohan works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  36. 36.Sneha can finish a job in 4 days and Diya in 22 days. Sneha works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  37. 37.Kabir can finish a job in 19 days and Diya in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  38. 38.Kabir can finish a job in 13 days and Tara in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Kabir can finish a job in 17 days and Farhan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Ishaan works three times as fast as Vivaan. Together they finish a job in 3 days. How many days would Vivaan take alone?

Answer key

  1. 80/13
  2. 221/30
  3. 24
  4. 11/24
  5. 8
  6. 5/18
  7. 10
  8. 13
  9. 95/24
  10. 34/19
  11. 16
  12. 25/78
  13. 36/5
  14. 70/17
  15. 8
  16. 6
  17. 45/14
  18. 380/39
  19. 16/3
  20. 12
  21. 33/260
  22. 208/29
  23. 81/140
  24. 9
  25. 110/21
  26. 13/21
  27. 30/17
  28. 15/16
  29. 30
  30. 72/13
  31. 14
  32. 2
  33. 12
  34. 35
  35. 10
  36. 11
  37. 32/247
  38. 195/28
  39. 187/28
  40. 12

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