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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 154 · 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.Farhan can finish a job in 25 days and Pooja in 30 days. Farhan works alone for 5 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  2. 2.Aarav can finish a job in 26 days and Dev in 14 days. Aarav works alone for 13 days and then stops. Dev finishes the rest. How many days does Dev take?
  3. 3.Arjun can finish a job in 19 days and Isha in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Aarav and Tara together finish a job in 2 days. Aarav alone takes 3 days. How many days would Tara take alone?
  5. 5.Nisha and Farhan together finish a job in 6 days. Nisha alone takes 8 days. How many days would Farhan take alone?
  6. 6.Kavya and Rohan together finish a job in 2 days. Kavya alone takes 3 days. How many days would Rohan take alone?
  7. 7.Ishaan can finish a job in 7 days and Dev in 28 days. Ishaan works alone for 1 day and then stops. Dev finishes the rest. How many days does Dev take?
  8. 8.Ananya can finish a job in 30 days and Aarav in 4 days. Ananya works alone for 15 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  9. 9.Meera can finish a job in 18 days and Dev in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Nisha can finish a job in 6 days and Aarav in 18 days. Nisha works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  11. 11.Karan can finish a job in 17 days and Vivaan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Ananya can finish a job in 2 days and Aditya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Nisha can finish a job in 9 days and Meera 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 17 days and Karan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Kabir can finish a job in 8 days and Dev in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  16. 16.Kabir works three times as fast as Ananya. Together they finish a job in 5 days. How many days would Ananya take alone?
  17. 17.Rahul can finish a job in 9 days and Karan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Meera can finish a job in 18 days and Isha in 13 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 10 days and Aarav in 18 days. Rahul works alone for 5 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  20. 20.Rahul can finish a job in 17 days and Vivaan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Aarav can finish a job in 10 days and Tara in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Farhan can finish a job in 13 days and Ananya in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  23. 23.Tara can finish a job in 14 days and Diya in 28 days. Tara works alone for 1 day and then stops. Diya finishes the rest. How many days does Diya take?
  24. 24.Kabir can finish a job in 14 days and Isha in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  25. 25.Farhan can finish a job in 12 days and Manav in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Meera can finish a job in 6 days and Manav in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Zoya can finish a job in 9 days and Kavya in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  28. 28.Rahul can finish a job in 9 days and Pooja in 24 days. Rahul works alone for 6 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  29. 29.Manav can finish a job in 19 days and Isha in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  30. 30.Dev works twice as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
  31. 31.Manav can finish a job in 14 days and Zoya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Rohan can finish a job in 15 days and Sneha in 10 days. Rohan works alone for 9 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  33. 33.Kavya and Meera together finish a job in 4 days. Kavya alone takes 5 days. How many days would Meera take alone?
  34. 34.Isha works three times as fast as Tara. Together they finish a job in 9 days. How many days would Tara take alone?
  35. 35.Farhan can finish a job in 5 days and Meera in 25 days. Farhan works alone for 1 day and then stops. Meera finishes the rest. How many days does Meera take?
  36. 36.Kabir can finish a job in 12 days and Ishaan in 30 days. Kabir works alone for 6 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  37. 37.Ananya works twice as fast as Tara. Together they finish a job in 7 days. How many days would Tara take alone?
  38. 38.Pooja can finish a job in 14 days and Zoya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Tara can finish a job in 11 days and Meera in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Isha works twice as fast as Saanvi. Together they finish a job in 2 days. How many days would Saanvi take alone?

Answer key

  1. 24
  2. 7
  3. 90/209
  4. 6
  5. 24
  6. 6
  7. 24
  8. 2
  9. 11/45
  10. 12
  11. 119/24
  12. 3/2
  13. 36/7
  14. 170/27
  15. 7/20
  16. 20
  17. 45/8
  18. 234/31
  19. 9
  20. 204/29
  21. 35/6
  22. 69/130
  23. 26
  24. 15/56
  25. 36/5
  26. 15/4
  27. 19/90
  28. 8
  29. 37/171
  30. 24
  31. 126/23
  32. 4
  33. 20
  34. 36
  35. 20
  36. 15
  37. 21
  38. 14/3
  39. 55/16
  40. 6

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