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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 67 · 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.Meera works twice as fast as Pooja. Together they finish a job in 4 days. How many days would Pooja take alone?
  2. 2.Rahul can finish a job in 9 days and Aarav in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Sneha can finish a job in 16 days and Rohan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Saanvi can finish a job in 10 days and Kavya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Dev and Karan together finish a job in 6 days. Dev alone takes 8 days. How many days would Karan take alone?
  6. 6.Ananya can finish a job in 9 days and Kabir in 21 days. Ananya works alone for 3 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  7. 7.Meera works three times as fast as Isha. Together they finish a job in 10 days. How many days would Isha take alone?
  8. 8.Ishaan can finish a job in 18 days and Aditya in 16 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 2 days and Pooja 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 4 days and Kabir in 28 days. Ananya works alone for 1 day and then stops. Kabir finishes the rest. How many days does Kabir take?
  11. 11.Dev can finish a job in 24 days and Diya in 6 days. Dev works alone for 16 days and then stops. Diya finishes the rest. How many days does Diya take?
  12. 12.Ananya works three times as fast as Vivaan. Together they finish a job in 4 days. How many days would Vivaan take alone?
  13. 13.Nisha works three times as fast as Sneha. Together they finish a job in 11 days. How many days would Sneha take alone?
  14. 14.Nisha can finish a job in 17 days and Meera in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  15. 15.Aarav and Kavya together finish a job in 3 days. Aarav alone takes 6 days. How many days would Kavya take alone?
  16. 16.Kabir can finish a job in 19 days and Karan in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  17. 17.Rahul works three times as fast as Kabir. Together they finish a job in 11 days. How many days would Kabir take alone?
  18. 18.Rahul and Pooja together finish a job in 2 days. Rahul alone takes 6 days. How many days would Pooja take alone?
  19. 19.Tara and Pooja together finish a job in 2 days. Tara alone takes 6 days. How many days would Pooja take alone?
  20. 20.Priya can finish a job in 4 days and Rohan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Ananya and Aditya together finish a job in 2 days. Ananya alone takes 4 days. How many days would Aditya take alone?
  22. 22.Farhan can finish a job in 17 days and Aditya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Priya can finish a job in 18 days and Nisha in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Zoya can finish a job in 21 days and Sneha in 9 days. Zoya works alone for 7 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  25. 25.Kabir can finish a job in 9 days and Saanvi in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  26. 26.Ananya can finish a job in 7 days and Dev in 28 days. Ananya works alone for 4 days and then stops. Dev finishes the rest. How many days does Dev take?
  27. 27.Farhan can finish a job in 9 days and Rohan in 18 days. Farhan works alone for 8 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  28. 28.Kabir can finish a job in 20 days and Farhan in 4 days. Kabir works alone for 10 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  29. 29.Ananya can finish a job in 11 days and Tara in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  30. 30.Aditya can finish a job in 8 days and Rahul in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Rahul can finish a job in 7 days and Tara in 28 days. Rahul works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
  32. 32.Rohan works three times as fast as Ananya. Together they finish a job in 10 days. How many days would Ananya take alone?
  33. 33.Dev can finish a job in 8 days and Ishaan in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  34. 34.Rahul works twice as fast as Kavya. Together they finish a job in 2 days. How many days would Kavya take alone?
  35. 35.Ishaan works twice as fast as Diya. Together they finish a job in 7 days. How many days would Diya take alone?
  36. 36.Saanvi and Aarav together finish a job in 12 days. Saanvi alone takes 30 days. How many days would Aarav take alone?
  37. 37.Kavya works three times as fast as Diya. Together they finish a job in 4 days. How many days would Diya take alone?
  38. 38.Rohan can finish a job in 30 days and Meera in 27 days. Rohan works alone for 10 days and then stops. Meera finishes the rest. How many days does Meera take?
  39. 39.Manav can finish a job in 16 days and Karan in 28 days. Manav works alone for 8 days and then stops. Karan finishes the rest. How many days does Karan take?
  40. 40.Pooja works twice as fast as Rahul. Together they finish a job in 11 days. How many days would Rahul take alone?

Answer key

  1. 12
  2. 19/90
  3. 16/5
  4. 40/9
  5. 24
  6. 14
  7. 40
  8. 144/17
  9. 38/21
  10. 21
  11. 2
  12. 16
  13. 44
  14. 31/119
  15. 6
  16. 23/76
  17. 44
  18. 3
  19. 3
  20. 60/19
  21. 4
  22. 51/20
  23. 11/45
  24. 6
  25. 44/117
  26. 12
  27. 2
  28. 2
  29. 30/209
  30. 88/19
  31. 12
  32. 40
  33. 21/52
  34. 6
  35. 21
  36. 20
  37. 16
  38. 18
  39. 14
  40. 33

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