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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 310 · 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 works twice as fast as Aarav. Together they finish a job in 5 days. How many days would Aarav take alone?
  2. 2.Farhan can finish a job in 11 days and Ananya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Ishaan can finish a job in 24 days and Vivaan in 8 days. Ishaan works alone for 21 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  4. 4.Kabir can finish a job in 14 days and Nisha in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  5. 5.Isha and Ishaan together finish a job in 2 days. Isha alone takes 3 days. How many days would Ishaan take alone?
  6. 6.Tara works twice as fast as Sneha. Together they finish a job in 8 days. How many days would Sneha take alone?
  7. 7.Arjun can finish a job in 2 days and Sneha in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Farhan can finish a job in 9 days and Ananya in 27 days. Farhan works alone for 1 day and then stops. Ananya finishes the rest. How many days does Ananya take?
  9. 9.Arjun and Manav together finish a job in 5 days. Arjun alone takes 6 days. How many days would Manav take alone?
  10. 10.Dev can finish a job in 20 days and Rahul in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Arjun can finish a job in 12 days and Isha in 6 days. Arjun works alone for 8 days and then stops. Isha finishes the rest. How many days does Isha take?
  12. 12.Pooja can finish a job in 24 days and Priya in 8 days. Pooja works alone for 21 days and then stops. Priya finishes the rest. How many days does Priya take?
  13. 13.Sneha works twice as fast as Farhan. Together they finish a job in 10 days. How many days would Farhan take alone?
  14. 14.Tara and Farhan together finish a job in 4 days. Tara alone takes 6 days. How many days would Farhan take alone?
  15. 15.Priya can finish a job in 7 days and Arjun in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Farhan works three times as fast as Arjun. Together they finish a job in 7 days. How many days would Arjun take alone?
  17. 17.Meera works twice as fast as Pooja. Together they finish a job in 10 days. How many days would Pooja take alone?
  18. 18.Kavya can finish a job in 4 days and Vivaan in 12 days. Kavya works alone for 1 day and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  19. 19.Farhan can finish a job in 12 days and Ananya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Diya can finish a job in 18 days and Aarav in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Rohan works twice as fast as Zoya. Together they finish a job in 2 days. How many days would Zoya take alone?
  22. 22.Farhan can finish a job in 17 days and Rohan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Zoya can finish a job in 16 days and Isha in 24 days. Zoya works alone for 14 days and then stops. Isha finishes the rest. How many days does Isha take?
  24. 24.Rahul and Saanvi together finish a job in 10 days. Rahul alone takes 15 days. How many days would Saanvi take alone?
  25. 25.Rohan can finish a job in 9 days and Nisha in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Dev can finish a job in 19 days and Tara in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Vivaan can finish a job in 4 days and Kavya in 16 days. Vivaan works alone for 1 day and then stops. Kavya finishes the rest. How many days does Kavya take?
  28. 28.Rahul and Saanvi together finish a job in 3 days. Rahul alone takes 6 days. How many days would Saanvi take alone?
  29. 29.Aditya and Kavya together finish a job in 3 days. Aditya alone takes 4 days. How many days would Kavya take alone?
  30. 30.Saanvi can finish a job in 6 days and Rohan in 12 days. Saanvi works alone for 1 day and then stops. Rohan finishes the rest. How many days does Rohan take?
  31. 31.Kavya can finish a job in 13 days and Tara in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Ananya can finish a job in 13 days and Aditya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Kabir and Rahul together finish a job in 6 days. Kabir alone takes 10 days. How many days would Rahul take alone?
  34. 34.Ishaan can finish a job in 4 days and Rohan in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  35. 35.Arjun can finish a job in 10 days and Rohan in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Aditya can finish a job in 10 days and Karan in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Ishaan can finish a job in 12 days and Arjun in 22 days. Ishaan works alone for 6 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  38. 38.Zoya can finish a job in 15 days and Isha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Rahul can finish a job in 18 days and Karan in 12 days. Rahul works alone for 9 days and then stops. Karan finishes the rest. How many days does Karan take?
  40. 40.Zoya and Aditya together finish a job in 8 days. Zoya alone takes 16 days. How many days would Aditya take alone?

Answer key

  1. 15
  2. 99/20
  3. 1
  4. 93/238
  5. 6
  6. 24
  7. 26/15
  8. 24
  9. 30
  10. 140/27
  11. 2
  12. 1
  13. 30
  14. 12
  15. 105/22
  16. 28
  17. 30
  18. 9
  19. 4
  20. 6
  21. 6
  22. 323/36
  23. 3
  24. 30
  25. 5/6
  26. 27/76
  27. 12
  28. 6
  29. 12
  30. 10
  31. 21/104
  32. 39/16
  33. 15
  34. 3/4
  35. 11/60
  36. 7/45
  37. 11
  38. 165/26
  39. 6
  40. 16

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