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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 49 · 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.Farhan works three times as fast as Nisha. Together they finish a job in 6 days. How many days would Nisha take alone?
  2. 2.Ananya can finish a job in 15 days and Kabir in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Arjun can finish a job in 12 days and Aditya in 21 days. Arjun works alone for 4 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  4. 4.Nisha can finish a job in 18 days and Arjun in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Kavya can finish a job in 14 days and Meera in 7 days. Kavya works alone for 10 days and then stops. Meera finishes the rest. How many days does Meera take?
  6. 6.Nisha can finish a job in 6 days and Meera in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Farhan can finish a job in 18 days and Kavya in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  8. 8.Kabir and Sneha together finish a job in 2 days. Kabir alone takes 3 days. How many days would Sneha take alone?
  9. 9.Kavya and Tara together finish a job in 10 days. Kavya alone takes 30 days. How many days would Tara take alone?
  10. 10.Karan can finish a job in 8 days and Diya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Priya can finish a job in 8 days and Meera in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  12. 12.Tara works twice as fast as Karan. Together they finish a job in 9 days. How many days would Karan take alone?
  13. 13.Isha and Ishaan together finish a job in 2 days. Isha alone takes 3 days. How many days would Ishaan take alone?
  14. 14.Tara and Farhan together finish a job in 8 days. Tara alone takes 9 days. How many days would Farhan take alone?
  15. 15.Sneha and Rahul together finish a job in 4 days. Sneha alone takes 5 days. How many days would Rahul take alone?
  16. 16.Pooja can finish a job in 13 days and Kavya in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  17. 17.Dev can finish a job in 12 days and Zoya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Saanvi can finish a job in 12 days and Meera in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Meera can finish a job in 10 days and Dev in 25 days. Meera works alone for 8 days and then stops. Dev finishes the rest. How many days does Dev take?
  20. 20.Ananya can finish a job in 20 days and Nisha in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Meera can finish a job in 2 days and Vivaan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Tara can finish a job in 15 days and Vivaan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Arjun and Sneha together finish a job in 3 days. Arjun alone takes 6 days. How many days would Sneha take alone?
  24. 24.Zoya can finish a job in 8 days and Farhan in 4 days. Zoya works alone for 2 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  25. 25.Karan and Nisha together finish a job in 2 days. Karan alone takes 3 days. How many days would Nisha take alone?
  26. 26.Dev works twice as fast as Rohan. Together they finish a job in 10 days. How many days would Rohan take alone?
  27. 27.Manav can finish a job in 13 days and Saanvi in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  28. 28.Karan works twice as fast as Manav. Together they finish a job in 4 days. How many days would Manav take alone?
  29. 29.Karan can finish a job in 24 days and Tara in 16 days. Karan works alone for 6 days and then stops. Tara finishes the rest. How many days does Tara take?
  30. 30.Diya works three times as fast as Ishaan. Together they finish a job in 3 days. How many days would Ishaan take alone?
  31. 31.Kavya can finish a job in 6 days and Vivaan in 24 days. Kavya works alone for 3 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  32. 32.Priya can finish a job in 8 days and Aditya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Meera works three times as fast as Kavya. Together they finish a job in 6 days. How many days would Kavya take alone?
  34. 34.Aditya can finish a job in 4 days and Manav in 22 days. Aditya works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  35. 35.Tara can finish a job in 30 days and Aditya in 27 days. Tara works alone for 10 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  36. 36.Rohan can finish a job in 13 days and Zoya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Vivaan and Arjun together finish a job in 6 days. Vivaan alone takes 7 days. How many days would Arjun take alone?
  38. 38.Farhan can finish a job in 4 days and Kabir in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  39. 39.Arjun and Nisha together finish a job in 6 days. Arjun alone takes 8 days. How many days would Nisha take alone?
  40. 40.Ananya can finish a job in 4 days and Meera in 28 days. Ananya works alone for 1 day and then stops. Meera finishes the rest. How many days does Meera take?

Answer key

  1. 24
  2. 20/3
  3. 14
  4. 180/19
  5. 2
  6. 12/5
  7. 23/90
  8. 6
  9. 15
  10. 120/23
  11. 7/24
  12. 27
  13. 6
  14. 72
  15. 20
  16. 20/91
  17. 60/11
  18. 2/3
  19. 5
  20. 20/3
  21. 12/7
  22. 6
  23. 6
  24. 3
  25. 6
  26. 30
  27. 40/91
  28. 12
  29. 12
  30. 12
  31. 12
  32. 40/9
  33. 24
  34. 11
  35. 18
  36. 143/24
  37. 42
  38. 3/5
  39. 24
  40. 21

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