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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 464 · 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.Priya and Sneha together finish a job in 8 days. Priya alone takes 12 days. How many days would Sneha take alone?
  2. 2.Meera can finish a job in 12 days and Vivaan in 6 days. Meera works alone for 4 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  3. 3.Aarav can finish a job in 7 days and Vivaan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Karan can finish a job in 16 days and Priya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Sneha works three times as fast as Tara. Together they finish a job in 6 days. How many days would Tara take alone?
  6. 6.Tara can finish a job in 8 days and Vivaan in 4 days. Tara works alone for 4 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  7. 7.Farhan can finish a job in 4 days and Ananya in 28 days. Farhan works alone for 2 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  8. 8.Nisha can finish a job in 26 days and Aarav in 13 days. Nisha works alone for 4 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  9. 9.Aditya and Ishaan together finish a job in 7 days. Aditya alone takes 8 days. How many days would Ishaan take alone?
  10. 10.Farhan can finish a job in 7 days and Rahul in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  11. 11.Vivaan can finish a job in 7 days and Ishaan in 14 days. Vivaan works alone for 5 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  12. 12.Aditya works three times as fast as Rahul. Together they finish a job in 5 days. How many days would Rahul take alone?
  13. 13.Pooja can finish a job in 6 days and Nisha in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Arjun works three times as fast as Rohan. Together they finish a job in 8 days. How many days would Rohan take alone?
  15. 15.Kabir and Zoya together finish a job in 6 days. Kabir alone takes 12 days. How many days would Zoya take alone?
  16. 16.Kavya can finish a job in 12 days and Ishaan in 24 days. Kavya works alone for 6 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  17. 17.Rahul can finish a job in 19 days and Karan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Kavya can finish a job in 19 days and Pooja in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  19. 19.Isha and Ananya together finish a job in 18 days. Isha alone takes 24 days. How many days would Ananya take alone?
  20. 20.Saanvi works twice as fast as Tara. Together they finish a job in 6 days. How many days would Tara take alone?
  21. 21.Kavya can finish a job in 11 days and Aditya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Saanvi can finish a job in 19 days and Pooja in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Pooja can finish a job in 7 days and Karan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Ananya and Vivaan together finish a job in 3 days. Ananya alone takes 4 days. How many days would Vivaan take alone?
  25. 25.Aditya works twice as fast as Pooja. Together they finish a job in 12 days. How many days would Pooja take alone?
  26. 26.Tara and Rahul together finish a job in 4 days. Tara alone takes 5 days. How many days would Rahul take alone?
  27. 27.Pooja works twice as fast as Kabir. Together they finish a job in 5 days. How many days would Kabir take alone?
  28. 28.Priya and Sneha together finish a job in 5 days. Priya alone takes 10 days. How many days would Sneha take alone?
  29. 29.Meera can finish a job in 12 days and Arjun in 30 days. Meera works alone for 10 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  30. 30.Ishaan can finish a job in 10 days and Diya in 15 days. Ishaan works alone for 6 days and then stops. Diya finishes the rest. How many days does Diya take?
  31. 31.Manav and Meera together finish a job in 12 days. Manav alone takes 28 days. How many days would Meera take alone?
  32. 32.Sneha works three times as fast as Tara. Together they finish a job in 4 days. How many days would Tara take alone?
  33. 33.Nisha works twice as fast as Arjun. Together they finish a job in 12 days. How many days would Arjun take alone?
  34. 34.Pooja can finish a job in 24 days and Rohan in 18 days. Pooja works alone for 8 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  35. 35.Kavya can finish a job in 19 days and Rahul in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Kabir can finish a job in 19 days and Aditya in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Nisha can finish a job in 11 days and Isha in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Karan can finish a job in 15 days and Isha in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Kabir can finish a job in 20 days and Aarav in 15 days. Kabir works alone for 4 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  40. 40.Kavya can finish a job in 25 days and Aditya in 20 days. Kavya works alone for 20 days and then stops. Aditya finishes the rest. How many days does Aditya take?

Answer key

  1. 24
  2. 4
  3. 14/3
  4. 112/23
  5. 24
  6. 2
  7. 14
  8. 11
  9. 56
  10. 13/21
  11. 4
  12. 20
  13. 13/60
  14. 32
  15. 12
  16. 12
  17. 247/32
  18. 90/209
  19. 72
  20. 18
  21. 209/30
  22. 38/21
  23. 14/3
  24. 12
  25. 36
  26. 20
  27. 15
  28. 10
  29. 5
  30. 6
  31. 21
  32. 16
  33. 36
  34. 12
  35. 57/22
  36. 37/342
  37. 132/23
  38. 60/7
  39. 12
  40. 4

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