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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 455 · 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.Zoya and Kabir together finish a job in 2 days. Zoya alone takes 3 days. How many days would Kabir take alone?
  2. 2.Kabir can finish a job in 16 days and Ananya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Nisha can finish a job in 9 days and Diya in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  4. 4.Dev and Nisha together finish a job in 2 days. Dev alone takes 4 days. How many days would Nisha take alone?
  5. 5.Ananya works three times as fast as Zoya. Together they finish a job in 8 days. How many days would Zoya take alone?
  6. 6.Arjun can finish a job in 18 days and Diya in 30 days. Arjun works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
  7. 7.Kabir works three times as fast as Aarav. Together they finish a job in 6 days. How many days would Aarav take alone?
  8. 8.Arjun can finish a job in 10 days and Kabir in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Rohan can finish a job in 10 days and Tara in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Tara can finish a job in 4 days and Ananya in 16 days. Tara works alone for 2 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  11. 11.Sneha can finish a job in 7 days and Dev in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Arjun can finish a job in 4 days and Dev in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Zoya and Nisha together finish a job in 12 days. Zoya alone takes 30 days. How many days would Nisha take alone?
  14. 14.Ananya and Rohan together finish a job in 12 days. Ananya alone takes 21 days. How many days would Rohan take alone?
  15. 15.Rahul can finish a job in 11 days and Kavya in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Tara can finish a job in 6 days and Rohan in 18 days. Tara works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  17. 17.Karan can finish a job in 20 days and Pooja in 22 days. Karan works alone for 10 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  18. 18.Isha can finish a job in 10 days and Arjun in 30 days. Isha works alone for 7 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  19. 19.Rohan can finish a job in 4 days and Manav in 22 days. Rohan works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  20. 20.Zoya can finish a job in 5 days and Aarav in 15 days. Zoya works alone for 4 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  21. 21.Arjun can finish a job in 20 days and Aarav in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Pooja and Vivaan together finish a job in 12 days. Pooja alone takes 15 days. How many days would Vivaan take alone?
  23. 23.Zoya works twice as fast as Manav. Together they finish a job in 2 days. How many days would Manav take alone?
  24. 24.Ananya works three times as fast as Sneha. Together they finish a job in 11 days. How many days would Sneha take alone?
  25. 25.Dev can finish a job in 13 days and Sneha in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Vivaan works twice as fast as Aarav. Together they finish a job in 5 days. How many days would Aarav take alone?
  27. 27.Sneha can finish a job in 11 days and Zoya in 22 days. Sneha works alone for 3 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  28. 28.Nisha works three times as fast as Arjun. Together they finish a job in 7 days. How many days would Arjun take alone?
  29. 29.Meera and Isha together finish a job in 6 days. Meera alone takes 10 days. How many days would Isha take alone?
  30. 30.Kabir can finish a job in 11 days and Nisha in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  31. 31.Aarav works twice as fast as Kavya. Together they finish a job in 8 days. How many days would Kavya take alone?
  32. 32.Tara and Meera together finish a job in 9 days. Tara alone takes 10 days. How many days would Meera take alone?
  33. 33.Diya can finish a job in 7 days and Zoya in 14 days. Diya works alone for 5 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  34. 34.Rohan and Aarav together finish a job in 5 days. Rohan alone takes 10 days. How many days would Aarav take alone?
  35. 35.Arjun can finish a job in 5 days and Manav in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Nisha and Sneha together finish a job in 2 days. Nisha alone takes 3 days. How many days would Sneha take alone?
  37. 37.Isha can finish a job in 12 days and Rohan in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Karan can finish a job in 4 days and Sneha in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  39. 39.Aditya can finish a job in 24 days and Dev in 12 days. Aditya works alone for 8 days and then stops. Dev finishes the rest. How many days does Dev take?
  40. 40.Isha and Tara together finish a job in 6 days. Isha alone takes 7 days. How many days would Tara take alone?

Answer key

  1. 6
  2. 80/9
  3. 17/36
  4. 4
  5. 32
  6. 25
  7. 24
  8. 15/4
  9. 170/27
  10. 8
  11. 16/21
  12. 11/36
  13. 20
  14. 28
  15. 57/88
  16. 9
  17. 11
  18. 9
  19. 11
  20. 3
  21. 180/19
  22. 60
  23. 6
  24. 44
  25. 104/21
  26. 15
  27. 16
  28. 28
  29. 15
  30. 75/154
  31. 24
  32. 90
  33. 4
  34. 10
  35. 15/4
  36. 6
  37. 5/12
  38. 23/76
  39. 8
  40. 42

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