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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 89 · 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.Rohan can finish a job in 18 days and Ananya in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  2. 2.Priya can finish a job in 7 days and Kabir in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Meera can finish a job in 20 days and Rohan in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  4. 4.Meera works twice as fast as Saanvi. Together they finish a job in 5 days. How many days would Saanvi take alone?
  5. 5.Vivaan can finish a job in 10 days and Ananya in 28 days. Vivaan works alone for 5 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  6. 6.Nisha can finish a job in 12 days and Kabir in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  7. 7.Diya can finish a job in 4 days and Isha in 8 days. Diya works alone for 1 day and then stops. Isha finishes the rest. How many days does Isha take?
  8. 8.Saanvi can finish a job in 19 days and Kavya in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Arjun works three times as fast as Meera. Together they finish a job in 3 days. How many days would Meera take alone?
  10. 10.Rahul can finish a job in 8 days and Ishaan in 6 days. Rahul works alone for 4 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  11. 11.Zoya can finish a job in 12 days and Dev in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  12. 12.Ananya can finish a job in 10 days and Rohan in 30 days. Ananya works alone for 2 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  13. 13.Rohan can finish a job in 19 days and Arjun in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Aditya and Tara together finish a job in 2 days. Aditya alone takes 4 days. How many days would Tara take alone?
  15. 15.Sneha can finish a job in 8 days and Nisha in 30 days. Sneha works alone for 4 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  16. 16.Arjun and Isha together finish a job in 4 days. Arjun alone takes 12 days. How many days would Isha take alone?
  17. 17.Arjun and Farhan together finish a job in 2 days. Arjun alone takes 4 days. How many days would Farhan take alone?
  18. 18.Saanvi works three times as fast as Manav. Together they finish a job in 5 days. How many days would Manav take alone?
  19. 19.Zoya can finish a job in 9 days and Manav in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  20. 20.Farhan can finish a job in 14 days and Rahul in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Meera and Ananya together finish a job in 6 days. Meera alone takes 7 days. How many days would Ananya take alone?
  22. 22.Zoya can finish a job in 3 days and Aditya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Rohan works twice as fast as Manav. Together they finish a job in 12 days. How many days would Manav take alone?
  24. 24.Tara works twice as fast as Sneha. Together they finish a job in 6 days. How many days would Sneha take alone?
  25. 25.Ishaan can finish a job in 6 days and Nisha in 24 days. Ishaan works alone for 2 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  26. 26.Karan can finish a job in 14 days and Arjun in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  27. 27.Ananya can finish a job in 12 days and Manav in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  28. 28.Arjun can finish a job in 6 days and Rahul in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Nisha can finish a job in 8 days and Arjun in 4 days. Nisha works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  30. 30.Tara and Pooja together finish a job in 12 days. Tara alone takes 18 days. How many days would Pooja take alone?
  31. 31.Isha can finish a job in 10 days and Arjun in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Farhan works twice as fast as Sneha. Together they finish a job in 5 days. How many days would Sneha take alone?
  33. 33.Dev works twice as fast as Isha. Together they finish a job in 9 days. How many days would Isha take alone?
  34. 34.Kabir and Aarav together finish a job in 7 days. Kabir alone takes 8 days. How many days would Aarav take alone?
  35. 35.Saanvi works three times as fast as Meera. Together they finish a job in 12 days. How many days would Meera take alone?
  36. 36.Tara can finish a job in 8 days and Priya in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Ishaan and Sneha together finish a job in 6 days. Ishaan alone takes 12 days. How many days would Sneha take alone?
  38. 38.Isha can finish a job in 4 days and Karan in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  39. 39.Manav and Ishaan together finish a job in 3 days. Manav alone takes 4 days. How many days would Ishaan take alone?
  40. 40.Tara can finish a job in 17 days and Aarav in 9 days. What fraction of the job do they finish if they work together for 3 days? =

Answer key

  1. 31/78
  2. 140/27
  3. 27/70
  4. 15
  5. 14
  6. 3/4
  7. 6
  8. 30/209
  9. 12
  10. 3
  11. 1/2
  12. 24
  13. 247/32
  14. 4
  15. 15
  16. 6
  17. 4
  18. 20
  19. 32/63
  20. 13/42
  21. 42
  22. 15/8
  23. 36
  24. 18
  25. 16
  26. 15/112
  27. 7/18
  28. 4
  29. 3
  30. 36
  31. 10/3
  32. 15
  33. 27
  34. 56
  35. 48
  36. 27/152
  37. 12
  38. 3/8
  39. 12
  40. 26/51

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