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Time and Work Worksheet

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

Answer key

  1. 44
  2. 18
  3. 20
  4. 1
  5. 3
  6. 5
  7. 52/153
  8. 190/29
  9. 16
  10. 6
  11. 323/36
  12. 8
  13. 3/10
  14. 68/21
  15. 10
  16. 28/171
  17. 20
  18. 22/13
  19. 323/36
  20. 306/35
  21. 10
  22. 21
  23. 63/8
  24. 10
  25. 17/70
  26. 15/4
  27. 45/8
  28. 76/23
  29. 70
  30. 154/25
  31. 40
  32. 36/77
  33. 33
  34. 36
  35. 20/3
  36. 6
  37. 33
  38. 21/10
  39. 5
  40. 255/32

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