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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 248 · 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.Ishaan can finish a job in 15 days and Nisha in 5 days. Ishaan works alone for 12 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  2. 2.Farhan can finish a job in 4 days and Vivaan in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Sneha can finish a job in 5 days and Karan in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  4. 4.Priya and Dev together finish a job in 7 days. Priya alone takes 14 days. How many days would Dev take alone?
  5. 5.Zoya can finish a job in 14 days and Meera in 28 days. Zoya works alone for 7 days and then stops. Meera finishes the rest. How many days does Meera take?
  6. 6.Ishaan and Ananya together finish a job in 5 days. Ishaan alone takes 6 days. How many days would Ananya take alone?
  7. 7.Rahul works three times as fast as Aditya. Together they finish a job in 7 days. How many days would Aditya take alone?
  8. 8.Kabir and Saanvi together finish a job in 18 days. Kabir alone takes 30 days. How many days would Saanvi take alone?
  9. 9.Farhan can finish a job in 16 days and Karan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Kabir works three times as fast as Priya. Together they finish a job in 7 days. How many days would Priya take alone?
  11. 11.Rohan works three times as fast as Ananya. Together they finish a job in 7 days. How many days would Ananya take alone?
  12. 12.Dev can finish a job in 20 days and Meera in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Dev can finish a job in 15 days and Aarav in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Rahul works twice as fast as Manav. Together they finish a job in 7 days. How many days would Manav take alone?
  15. 15.Farhan can finish a job in 5 days and Diya in 10 days. Farhan works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  16. 16.Rohan and Manav together finish a job in 18 days. Rohan alone takes 24 days. How many days would Manav take alone?
  17. 17.Priya can finish a job in 13 days and Karan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Aarav can finish a job in 9 days and Rohan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Diya works three times as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  20. 20.Saanvi can finish a job in 12 days and Aditya in 21 days. Saanvi works alone for 8 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  21. 21.Karan can finish a job in 6 days and Priya in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  22. 22.Farhan can finish a job in 4 days and Rahul in 28 days. Farhan works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  23. 23.Zoya can finish a job in 9 days and Karan in 6 days. Zoya works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
  24. 24.Ishaan can finish a job in 12 days and Kavya in 27 days. Ishaan works alone for 8 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  25. 25.Vivaan can finish a job in 28 days and Farhan in 20 days. Vivaan works alone for 21 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  26. 26.Isha can finish a job in 19 days and Tara in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  27. 27.Kavya can finish a job in 14 days and Dev in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Aditya works three times as fast as Meera. Together they finish a job in 6 days. How many days would Meera take alone?
  29. 29.Arjun can finish a job in 26 days and Sneha in 13 days. Arjun works alone for 6 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  30. 30.Aditya works twice as fast as Ishaan. Together they finish a job in 8 days. How many days would Ishaan take alone?
  31. 31.Rohan can finish a job in 4 days and Arjun in 8 days. Rohan works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  32. 32.Kavya can finish a job in 8 days and Aarav in 24 days. Kavya works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  33. 33.Vivaan can finish a job in 2 days and Dev in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Ananya and Rohan together finish a job in 2 days. Ananya alone takes 4 days. How many days would Rohan take alone?
  35. 35.Meera can finish a job in 14 days and Isha in 21 days. Meera works alone for 2 days and then stops. Isha finishes the rest. How many days does Isha take?
  36. 36.Aarav can finish a job in 14 days and Saanvi in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Nisha and Aditya together finish a job in 9 days. Nisha alone takes 10 days. How many days would Aditya take alone?
  38. 38.Saanvi works twice as fast as Pooja. Together they finish a job in 10 days. How many days would Pooja take alone?
  39. 39.Kabir can finish a job in 15 days and Nisha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Aditya can finish a job in 11 days and Rahul in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 1
  2. 7/20
  3. 17/30
  4. 14
  5. 14
  6. 30
  7. 28
  8. 45
  9. 48/19
  10. 28
  11. 28
  12. 3/10
  13. 120/23
  14. 21
  15. 6
  16. 72
  17. 208/29
  18. 117/22
  19. 16
  20. 7
  21. 4/5
  22. 7
  23. 4
  24. 9
  25. 5
  26. 39/380
  27. 35/6
  28. 24
  29. 10
  30. 24
  31. 4
  32. 18
  33. 12/7
  34. 4
  35. 18
  36. 99/266
  37. 90
  38. 30
  39. 15/4
  40. 99/20

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