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Time and Work Worksheet

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

Answer key

  1. 5
  2. 9
  3. 90
  4. 55/16
  5. 12
  6. 9
  7. 6
  8. 221/30
  9. 304/35
  10. 6
  11. 6
  12. 24
  13. 40
  14. 36
  15. 18
  16. 40/13
  17. 210/29
  18. 65/18
  19. 26/55
  20. 170/27
  21. 16
  22. 15
  23. 4
  24. 48/95
  25. 5/12
  26. 90/19
  27. 88/19
  28. 6
  29. 144/25
  30. 3/10
  31. 56/187
  32. 22
  33. 33/266
  34. 15
  35. 23/102
  36. 6
  37. 15
  38. 110/21
  39. 55/16
  40. 180/19

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