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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 367 · 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.Tara works twice as fast as Zoya. Together they finish a job in 12 days. How many days would Zoya take alone?
  2. 2.Pooja can finish a job in 3 days and Farhan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Aarav works twice as fast as Isha. Together they finish a job in 11 days. How many days would Isha take alone?
  4. 4.Tara and Aarav together finish a job in 9 days. Tara alone takes 10 days. How many days would Aarav take alone?
  5. 5.Isha works twice as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
  6. 6.Kavya can finish a job in 8 days and Ishaan in 14 days. Kavya works alone for 4 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  7. 7.Ananya works three times as fast as Karan. Together they finish a job in 5 days. How many days would Karan take alone?
  8. 8.Ishaan can finish a job in 10 days and Meera in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Arjun and Aarav together finish a job in 6 days. Arjun alone takes 24 days. How many days would Aarav take alone?
  10. 10.Aarav can finish a job in 10 days and Diya in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  11. 11.Diya can finish a job in 20 days and Ishaan in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  12. 12.Isha works three times as fast as Pooja. Together they finish a job in 9 days. How many days would Pooja take alone?
  13. 13.Dev and Priya together finish a job in 6 days. Dev alone takes 8 days. How many days would Priya take alone?
  14. 14.Dev can finish a job in 30 days and Kabir in 12 days. Dev works alone for 20 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  15. 15.Dev works twice as fast as Ishaan. Together they finish a job in 2 days. How many days would Ishaan take alone?
  16. 16.Diya can finish a job in 9 days and Nisha in 27 days. Diya works alone for 5 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  17. 17.Dev can finish a job in 4 days and Aarav in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  18. 18.Manav can finish a job in 12 days and Dev in 21 days. Manav works alone for 4 days and then stops. Dev finishes the rest. How many days does Dev take?
  19. 19.Saanvi can finish a job in 14 days and Pooja in 7 days. Saanvi works alone for 4 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  20. 20.Zoya can finish a job in 13 days and Sneha in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Kabir and Tara together finish a job in 8 days. Kabir alone takes 9 days. How many days would Tara take alone?
  22. 22.Nisha can finish a job in 11 days and Rahul in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Ananya and Diya together finish a job in 21 days. Ananya alone takes 28 days. How many days would Diya take alone?
  24. 24.Dev can finish a job in 5 days and Tara in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Vivaan can finish a job in 5 days and Kavya in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  26. 26.Ananya can finish a job in 20 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. =
  27. 27.Aarav can finish a job in 4 days and Sneha in 26 days. Aarav works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  28. 28.Ishaan can finish a job in 11 days and Aarav in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  29. 29.Aditya works three times as fast as Isha. Together they finish a job in 10 days. How many days would Isha take alone?
  30. 30.Kabir and Sneha together finish a job in 2 days. Kabir alone takes 3 days. How many days would Sneha take alone?
  31. 31.Diya can finish a job in 9 days and Tara in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Dev works twice as fast as Farhan. Together they finish a job in 2 days. How many days would Farhan take alone?
  33. 33.Karan can finish a job in 12 days and Ishaan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Rohan can finish a job in 7 days and Isha in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  35. 35.Kabir and Zoya together finish a job in 6 days. Kabir alone takes 15 days. How many days would Zoya take alone?
  36. 36.Arjun can finish a job in 2 days and Diya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Meera can finish a job in 7 days and Diya in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  38. 38.Dev and Zoya together finish a job in 5 days. Dev alone takes 6 days. How many days would Zoya take alone?
  39. 39.Sneha and Saanvi together finish a job in 2 days. Sneha alone takes 3 days. How many days would Saanvi take alone?
  40. 40.Rahul and Aarav together finish a job in 2 days. Rahul alone takes 4 days. How many days would Aarav take alone?

Answer key

  1. 36
  2. 24/11
  3. 33
  4. 90
  5. 12
  6. 7
  7. 20
  8. 5/3
  9. 8
  10. 29/95
  11. 39/190
  12. 36
  13. 24
  14. 4
  15. 6
  16. 12
  17. 11/12
  18. 14
  19. 5
  20. 21/52
  21. 72
  22. 18/77
  23. 84
  24. 35/12
  25. 19/35
  26. 15/2
  27. 13
  28. 63/110
  29. 40
  30. 6
  31. 90/19
  32. 6
  33. 60/17
  34. 48/119
  35. 10
  36. 4/3
  37. 15/28
  38. 30
  39. 6
  40. 4

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