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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 186 · 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 13 days and Tara in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Rohan can finish a job in 17 days and Meera in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Arjun and Farhan together finish a job in 8 days. Arjun alone takes 16 days. How many days would Farhan take alone?
  4. 4.Zoya can finish a job in 16 days and Karan in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  5. 5.Meera can finish a job in 2 days and Ananya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Kavya can finish a job in 10 days and Zoya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Sneha can finish a job in 17 days and Nisha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Isha and Zoya together finish a job in 2 days. Isha alone takes 3 days. How many days would Zoya take alone?
  9. 9.Arjun works three times as fast as Saanvi. Together they finish a job in 6 days. How many days would Saanvi take alone?
  10. 10.Meera and Aarav together finish a job in 6 days. Meera alone takes 24 days. How many days would Aarav take alone?
  11. 11.Isha can finish a job in 10 days and Tara in 20 days. Isha works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
  12. 12.Dev can finish a job in 2 days and Karan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Aditya can finish a job in 6 days and Diya in 18 days. Aditya works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
  14. 14.Priya can finish a job in 5 days and Kavya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Vivaan can finish a job in 15 days and Arjun in 25 days. Vivaan works alone for 6 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  16. 16.Arjun works twice as fast as Isha. Together they finish a job in 12 days. How many days would Isha take alone?
  17. 17.Priya can finish a job in 7 days and Ishaan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Kabir works three times as fast as Karan. Together they finish a job in 11 days. How many days would Karan take alone?
  19. 19.Kabir can finish a job in 4 days and Priya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Vivaan works three times as fast as Nisha. Together they finish a job in 6 days. How many days would Nisha take alone?
  21. 21.Nisha can finish a job in 10 days and Diya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Farhan works twice as fast as Aarav. Together they finish a job in 7 days. How many days would Aarav take alone?
  23. 23.Karan can finish a job in 10 days and Kavya in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Vivaan can finish a job in 6 days and Isha in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Ananya can finish a job in 9 days and Manav in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Karan can finish a job in 5 days and Meera in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Vivaan can finish a job in 8 days and Ananya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Ishaan can finish a job in 7 days and Nisha in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  29. 29.Pooja can finish a job in 7 days and Arjun in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  30. 30.Nisha can finish a job in 7 days and Ishaan in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  31. 31.Manav can finish a job in 4 days and Diya in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Manav can finish a job in 4 days and Farhan in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  33. 33.Zoya can finish a job in 4 days and Karan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Vivaan and Pooja together finish a job in 3 days. Vivaan alone takes 6 days. How many days would Pooja take alone?
  35. 35.Arjun can finish a job in 6 days and Isha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Ishaan and Manav together finish a job in 6 days. Ishaan alone takes 24 days. How many days would Manav take alone?
  37. 37.Karan works three times as fast as Sneha. Together they finish a job in 10 days. How many days would Sneha take alone?
  38. 38.Farhan and Priya together finish a job in 15 days. Farhan alone takes 18 days. How many days would Priya take alone?
  39. 39.Rahul can finish a job in 5 days and Zoya in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  40. 40.Rohan works three times as fast as Aditya. Together they finish a job in 9 days. How many days would Aditya take alone?

Answer key

  1. 65/18
  2. 29/204
  3. 16
  4. 7/48
  5. 26/15
  6. 40/9
  7. 272/33
  8. 6
  9. 24
  10. 8
  11. 18
  12. 10/7
  13. 6
  14. 55/16
  15. 15
  16. 36
  17. 77/18
  18. 44
  19. 60/19
  20. 24
  21. 40/9
  22. 21
  23. 13/40
  24. 5/12
  25. 20/99
  26. 15/8
  27. 120/23
  28. 17/70
  29. 25/63
  30. 23/56
  31. 21/68
  32. 15/16
  33. 76/23
  34. 6
  35. 102/23
  36. 8
  37. 40
  38. 90
  39. 28/45
  40. 36

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