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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 254 · 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.Meera can finish a job in 6 days and Kabir in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Ishaan can finish a job in 17 days and Ananya in 3 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 8 days and Pooja in 26 days. Arjun works alone for 4 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  4. 4.Tara and Kabir together finish a job in 9 days. Tara alone takes 18 days. How many days would Kabir take alone?
  5. 5.Nisha can finish a job in 6 days and Sneha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Kavya and Vivaan together finish a job in 3 days. Kavya alone takes 4 days. How many days would Vivaan take alone?
  7. 7.Sneha can finish a job in 14 days and Dev in 4 days. Sneha works alone for 7 days and then stops. Dev finishes the rest. How many days does Dev take?
  8. 8.Diya can finish a job in 16 days and Ananya in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Priya can finish a job in 7 days and Arjun in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Farhan can finish a job in 12 days and Aarav in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Rahul works three times as fast as Karan. Together they finish a job in 5 days. How many days would Karan take alone?
  12. 12.Rohan can finish a job in 2 days and Saanvi in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Tara can finish a job in 16 days and Rohan in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Aditya can finish a job in 19 days and Vivaan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Rohan can finish a job in 11 days and Aarav in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Farhan works twice as fast as Aditya. Together they finish a job in 11 days. How many days would Aditya take alone?
  17. 17.Aditya can finish a job in 12 days and Arjun in 16 days. Aditya works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  18. 18.Vivaan can finish a job in 12 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. =
  19. 19.Priya can finish a job in 13 days and Ananya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Kavya can finish a job in 9 days and Isha in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Rahul works twice as fast as Nisha. Together they finish a job in 4 days. How many days would Nisha take alone?
  22. 22.Tara works twice as fast as Farhan. Together they finish a job in 4 days. How many days would Farhan take alone?
  23. 23.Isha works three times as fast as Meera. Together they finish a job in 7 days. How many days would Meera take alone?
  24. 24.Arjun works three times as fast as Rohan. Together they finish a job in 4 days. How many days would Rohan take alone?
  25. 25.Kavya can finish a job in 26 days and Manav in 4 days. Kavya works alone for 13 days and then stops. Manav finishes the rest. How many days does Manav take?
  26. 26.Rahul can finish a job in 21 days and Arjun in 14 days. Rahul works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  27. 27.Rahul can finish a job in 4 days and Aarav in 6 days. Rahul works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  28. 28.Manav works twice as fast as Rohan. Together they finish a job in 4 days. How many days would Rohan take alone?
  29. 29.Rahul can finish a job in 19 days and Nisha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Kavya and Sneha together finish a job in 3 days. Kavya alone takes 4 days. How many days would Sneha take alone?
  31. 31.Diya can finish a job in 15 days and Aditya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Kavya can finish a job in 6 days and Arjun in 18 days. Kavya works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  33. 33.Manav and Pooja together finish a job in 3 days. Manav alone takes 6 days. How many days would Pooja take alone?
  34. 34.Rohan works three times as fast as Aarav. Together they finish a job in 11 days. How many days would Aarav take alone?
  35. 35.Arjun can finish a job in 4 days and Priya in 12 days. Arjun works alone for 2 days and then stops. Priya finishes the rest. How many days does Priya take?
  36. 36.Farhan works twice as fast as Rohan. Together they finish a job in 3 days. How many days would Rohan take alone?
  37. 37.Kavya can finish a job in 16 days and Vivaan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Arjun can finish a job in 15 days and Pooja in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  39. 39.Arjun can finish a job in 2 days and Rohan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Saanvi and Rohan together finish a job in 4 days. Saanvi alone takes 12 days. How many days would Rohan take alone?

Answer key

  1. 4/15
  2. 51/20
  3. 13
  4. 18
  5. 9/2
  6. 12
  7. 2
  8. 11/24
  9. 63/16
  10. 5/8
  11. 20
  12. 30/17
  13. 29/208
  14. 171/28
  15. 187/28
  16. 33
  17. 12
  18. 3
  19. 65/18
  20. 90/19
  21. 12
  22. 12
  23. 28
  24. 16
  25. 2
  26. 12
  27. 3
  28. 12
  29. 114/25
  30. 12
  31. 210/29
  32. 12
  33. 6
  34. 44
  35. 6
  36. 9
  37. 16/9
  38. 34/285
  39. 4/3
  40. 6

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