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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 470 · 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.Sneha can finish a job in 6 days and Tara in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Karan works twice as fast as Rohan. Together they finish a job in 10 days. How many days would Rohan take alone?
  3. 3.Meera and Diya together finish a job in 2 days. Meera alone takes 4 days. How many days would Diya take alone?
  4. 4.Pooja and Rohan together finish a job in 8 days. Pooja alone takes 9 days. How many days would Rohan take alone?
  5. 5.Arjun can finish a job in 9 days and Ananya in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  6. 6.Kabir can finish a job in 13 days and Zoya in 26 days. Kabir works alone for 11 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  7. 7.Isha can finish a job in 20 days and Rohan in 5 days. Isha works alone for 4 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  8. 8.Rohan and Sneha together finish a job in 4 days. Rohan alone takes 6 days. How many days would Sneha take alone?
  9. 9.Kabir can finish a job in 4 days and Nisha in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Vivaan works twice as fast as Ishaan. Together they finish a job in 7 days. How many days would Ishaan take alone?
  11. 11.Ananya can finish a job in 15 days and Zoya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Karan and Zoya together finish a job in 2 days. Karan alone takes 4 days. How many days would Zoya take alone?
  13. 13.Aditya and Sneha together finish a job in 6 days. Aditya alone takes 9 days. How many days would Sneha take alone?
  14. 14.Manav can finish a job in 9 days and Ananya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Arjun works three times as fast as Manav. Together they finish a job in 7 days. How many days would Manav take alone?
  16. 16.Rahul works three times as fast as Rohan. Together they finish a job in 3 days. How many days would Rohan take alone?
  17. 17.Rohan can finish a job in 22 days and Karan in 11 days. Rohan works alone for 14 days and then stops. Karan finishes the rest. How many days does Karan take?
  18. 18.Kabir can finish a job in 14 days and Arjun in 6 days. Kabir works alone for 7 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  19. 19.Kabir and Karan together finish a job in 2 days. Kabir alone takes 3 days. How many days would Karan take alone?
  20. 20.Farhan and Sneha together finish a job in 4 days. Farhan alone takes 12 days. How many days would Sneha take alone?
  21. 21.Ishaan can finish a job in 16 days and Dev in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Zoya can finish a job in 10 days and Rohan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Isha can finish a job in 20 days and Farhan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Rohan can finish a job in 9 days and Tara in 27 days. Rohan works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
  25. 25.Tara can finish a job in 4 days and Kabir in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Ananya can finish a job in 4 days and Aarav in 30 days. Ananya works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  27. 27.Diya works twice as fast as Kavya. Together they finish a job in 4 days. How many days would Kavya take alone?
  28. 28.Arjun can finish a job in 5 days and Rahul in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Aditya can finish a job in 4 days and Karan in 24 days. Aditya works alone for 1 day and then stops. Karan finishes the rest. How many days does Karan take?
  30. 30.Rahul works twice as fast as Manav. Together they finish a job in 8 days. How many days would Manav take alone?
  31. 31.Saanvi works three times as fast as Kabir. Together they finish a job in 12 days. How many days would Kabir take alone?
  32. 32.Zoya can finish a job in 5 days and Meera in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Dev can finish a job in 7 days and Isha in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Zoya can finish a job in 8 days and Manav in 16 days. Zoya works alone for 6 days and then stops. Manav finishes the rest. How many days does Manav take?
  35. 35.Sneha works twice as fast as Saanvi. Together they finish a job in 5 days. How many days would Saanvi take alone?
  36. 36.Diya can finish a job in 20 days and Pooja in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Arjun can finish a job in 9 days and Dev in 18 days. Arjun works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
  38. 38.Diya works three times as fast as Rohan. Together they finish a job in 9 days. How many days would Rohan take alone?
  39. 39.Priya can finish a job in 9 days and Zoya in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  40. 40.Dev can finish a job in 18 days and Farhan in 20 days. What fraction of the job do they finish if they work together for 1 day? =

Answer key

  1. 66/17
  2. 30
  3. 4
  4. 72
  5. 19/45
  6. 4
  7. 4
  8. 12
  9. 19/60
  10. 21
  11. 5/2
  12. 4
  13. 18
  14. 36/13
  15. 28
  16. 12
  17. 4
  18. 3
  19. 6
  20. 6
  21. 80/9
  22. 20/3
  23. 140/27
  24. 15
  25. 9/20
  26. 15
  27. 12
  28. 90/23
  29. 18
  30. 24
  31. 48
  32. 80/21
  33. 63/16
  34. 4
  35. 15
  36. 29/180
  37. 14
  38. 36
  39. 28/45
  40. 19/180

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