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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 377 · 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.Kabir and Ishaan together finish a job in 2 days. Kabir alone takes 3 days. How many days would Ishaan take alone?
  2. 2.Farhan can finish a job in 12 days and Kavya in 24 days. Farhan works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  3. 3.Isha and Meera together finish a job in 2 days. Isha alone takes 4 days. How many days would Meera take alone?
  4. 4.Zoya can finish a job in 6 days and Vivaan in 12 days. Zoya works alone for 5 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  5. 5.Meera can finish a job in 12 days and Sneha in 24 days. Meera works alone for 1 day and then stops. Sneha finishes the rest. How many days does Sneha take?
  6. 6.Arjun can finish a job in 12 days and Vivaan in 8 days. Arjun works alone for 9 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  7. 7.Dev can finish a job in 18 days and Meera in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  8. 8.Nisha can finish a job in 11 days and Tara in 22 days. Nisha works alone for 10 days and then stops. Tara finishes the rest. How many days does Tara take?
  9. 9.Rohan can finish a job in 4 days and Rahul in 20 days. Rohan works alone for 1 day and then stops. Rahul finishes the rest. How many days does Rahul take?
  10. 10.Sneha can finish a job in 14 days and Rahul in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Rohan can finish a job in 16 days and Vivaan in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Rahul works twice as fast as Farhan. Together they finish a job in 3 days. How many days would Farhan take alone?
  13. 13.Ananya works twice as fast as Farhan. Together they finish a job in 11 days. How many days would Farhan take alone?
  14. 14.Rohan can finish a job in 10 days and Isha in 25 days. Rohan works alone for 4 days and then stops. Isha finishes the rest. How many days does Isha take?
  15. 15.Dev can finish a job in 13 days and Manav in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  16. 16.Priya can finish a job in 14 days and Kabir in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Nisha can finish a job in 6 days and Kavya in 27 days. Nisha works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  18. 18.Nisha can finish a job in 11 days and Aditya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Pooja works twice as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
  20. 20.Priya and Aditya together finish a job in 6 days. Priya alone takes 7 days. How many days would Aditya take alone?
  21. 21.Ananya can finish a job in 15 days and Pooja in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  22. 22.Ishaan can finish a job in 16 days and Rohan in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Dev can finish a job in 2 days and Isha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Diya can finish a job in 10 days and Farhan in 30 days. Diya works alone for 5 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  25. 25.Sneha can finish a job in 5 days and Saanvi in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Kavya can finish a job in 5 days and Ishaan in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Arjun and Pooja together finish a job in 6 days. Arjun alone takes 7 days. How many days would Pooja take alone?
  28. 28.Ishaan and Saanvi together finish a job in 2 days. Ishaan alone takes 4 days. How many days would Saanvi take alone?
  29. 29.Rohan works twice as fast as Ananya. Together they finish a job in 8 days. How many days would Ananya take alone?
  30. 30.Kavya can finish a job in 13 days and Manav in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Farhan can finish a job in 10 days and Aarav in 20 days. Farhan works alone for 7 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  32. 32.Meera works twice as fast as Rohan. Together they finish a job in 10 days. How many days would Rohan take alone?
  33. 33.Isha and Sneha together finish a job in 8 days. Isha alone takes 10 days. How many days would Sneha take alone?
  34. 34.Ananya and Sneha together finish a job in 4 days. Ananya alone takes 12 days. How many days would Sneha take alone?
  35. 35.Manav and Arjun together finish a job in 8 days. Manav alone takes 24 days. How many days would Arjun take alone?
  36. 36.Sneha can finish a job in 12 days and Ishaan in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Aditya works three times as fast as Karan. Together they finish a job in 7 days. How many days would Karan take alone?
  38. 38.Nisha can finish a job in 7 days and Meera in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Karan and Ananya together finish a job in 15 days. Karan alone takes 18 days. How many days would Ananya take alone?
  40. 40.Aarav can finish a job in 10 days and Aditya in 14 days. What fraction of the job do they finish if they work together for 1 day? =

Answer key

  1. 6
  2. 20
  3. 4
  4. 2
  5. 22
  6. 2
  7. 16/63
  8. 2
  9. 15
  10. 9/14
  11. 11/16
  12. 9
  13. 33
  14. 15
  15. 25/78
  16. 238/31
  17. 18
  18. 187/28
  19. 12
  20. 42
  21. 7/20
  22. 21/80
  23. 10/7
  24. 15
  25. 66/85
  26. 32/55
  27. 42
  28. 4
  29. 24
  30. 221/30
  31. 6
  32. 30
  33. 40
  34. 6
  35. 12
  36. 11/30
  37. 28
  38. 119/24
  39. 90
  40. 6/35

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