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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 431 · 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.Aditya can finish a job in 18 days and Farhan in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Farhan can finish a job in 7 days and Vivaan in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Sneha can finish a job in 6 days and Saanvi in 12 days. Sneha works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  4. 4.Diya can finish a job in 15 days and Ananya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Tara can finish a job in 18 days and Aarav in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  6. 6.Sneha works three times as fast as Nisha. Together they finish a job in 9 days. How many days would Nisha take alone?
  7. 7.Sneha and Rahul together finish a job in 4 days. Sneha alone takes 6 days. How many days would Rahul take alone?
  8. 8.Saanvi works twice as fast as Isha. Together they finish a job in 10 days. How many days would Isha take alone?
  9. 9.Dev can finish a job in 7 days and Aarav in 28 days. Dev works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  10. 10.Saanvi works twice as fast as Diya. Together they finish a job in 6 days. How many days would Diya take alone?
  11. 11.Ananya works three times as fast as Isha. Together they finish a job in 4 days. How many days would Isha take alone?
  12. 12.Vivaan and Sneha together finish a job in 15 days. Vivaan alone takes 24 days. How many days would Sneha take alone?
  13. 13.Isha and Arjun together finish a job in 6 days. Isha alone takes 7 days. How many days would Arjun take alone?
  14. 14.Meera and Aditya together finish a job in 2 days. Meera alone takes 4 days. How many days would Aditya take alone?
  15. 15.Meera can finish a job in 18 days and Aarav in 21 days. Meera works alone for 12 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  16. 16.Karan can finish a job in 12 days and Ananya in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  17. 17.Rohan can finish a job in 5 days and Nisha in 10 days. Rohan works alone for 1 day and then stops. Nisha finishes the rest. How many days does Nisha take?
  18. 18.Manav can finish a job in 4 days and Isha in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Kavya can finish a job in 5 days and Meera in 30 days. Kavya works alone for 1 day and then stops. Meera finishes the rest. How many days does Meera take?
  20. 20.Aditya can finish a job in 19 days and Rohan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Manav can finish a job in 4 days and Rohan in 6 days. Manav works alone for 2 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  22. 22.Rahul works three times as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
  23. 23.Aarav can finish a job in 11 days and Farhan in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  24. 24.Dev can finish a job in 7 days and Nisha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Kabir and Tara together finish a job in 4 days. Kabir alone takes 8 days. How many days would Tara take alone?
  26. 26.Zoya can finish a job in 12 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. =
  27. 27.Sneha works three times as fast as Kabir. Together they finish a job in 12 days. How many days would Kabir take alone?
  28. 28.Aarav works twice as fast as Zoya. Together they finish a job in 7 days. How many days would Zoya take alone?
  29. 29.Diya can finish a job in 4 days and Kabir in 16 days. Diya works alone for 3 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  30. 30.Farhan and Ananya together finish a job in 10 days. Farhan alone takes 15 days. How many days would Ananya take alone?
  31. 31.Kabir can finish a job in 10 days and Rohan in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Kabir and Saanvi together finish a job in 3 days. Kabir alone takes 4 days. How many days would Saanvi take alone?
  33. 33.Zoya and Farhan together finish a job in 2 days. Zoya alone takes 3 days. How many days would Farhan take alone?
  34. 34.Kavya and Karan together finish a job in 9 days. Kavya alone takes 10 days. How many days would Karan take alone?
  35. 35.Rohan works twice as fast as Kavya. Together they finish a job in 5 days. How many days would Kavya take alone?
  36. 36.Farhan works twice as fast as Saanvi. Together they finish a job in 7 days. How many days would Saanvi take alone?
  37. 37.Arjun can finish a job in 7 days and Sneha in 14 days. Arjun works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  38. 38.Zoya can finish a job in 4 days and Aarav in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  39. 39.Farhan can finish a job in 6 days and Dev in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Rahul can finish a job in 19 days and Farhan in 6 days. What fraction of the job do they finish if they work together for 2 days? =

Answer key

  1. 11/36
  2. 16/63
  3. 6
  4. 255/32
  5. 5/36
  6. 36
  7. 12
  8. 30
  9. 20
  10. 18
  11. 16
  12. 40
  13. 42
  14. 4
  15. 7
  16. 7/16
  17. 8
  18. 11/14
  19. 24
  20. 304/35
  21. 3
  22. 32
  23. 90/209
  24. 28/11
  25. 8
  26. 20/3
  27. 48
  28. 21
  29. 4
  30. 30
  31. 1/6
  32. 12
  33. 6
  34. 90
  35. 15
  36. 21
  37. 10
  38. 23/38
  39. 30/11
  40. 25/57

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