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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 180 · 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.Dev can finish a job in 18 days and Aarav in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Saanvi works three times as fast as Vivaan. Together they finish a job in 2 days. How many days would Vivaan take alone?
  3. 3.Nisha can finish a job in 17 days and Aarav in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Arjun and Ishaan together finish a job in 7 days. Arjun alone takes 14 days. How many days would Ishaan take alone?
  5. 5.Aditya works twice as fast as Tara. Together they finish a job in 11 days. How many days would Tara take alone?
  6. 6.Isha can finish a job in 19 days and Zoya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Zoya and Priya together finish a job in 6 days. Zoya alone takes 7 days. How many days would Priya take alone?
  8. 8.Saanvi can finish a job in 12 days and Sneha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Karan can finish a job in 13 days and Rohan in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Karan works twice as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?
  11. 11.Kavya can finish a job in 7 days and Manav in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Diya can finish a job in 8 days and Saanvi in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  13. 13.Dev can finish a job in 17 days and Aditya in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  14. 14.Farhan can finish a job in 5 days and Kabir in 15 days. Farhan works alone for 3 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  15. 15.Vivaan and Dev together finish a job in 12 days. Vivaan alone takes 14 days. How many days would Dev take alone?
  16. 16.Aarav works twice as fast as Dev. Together they finish a job in 11 days. How many days would Dev take alone?
  17. 17.Vivaan can finish a job in 30 days and Ishaan in 6 days. Vivaan works alone for 20 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  18. 18.Aditya works three times as fast as Rahul. Together they finish a job in 8 days. How many days would Rahul take alone?
  19. 19.Farhan can finish a job in 2 days and Aarav in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Karan can finish a job in 15 days and Vivaan in 6 days. Karan works alone for 10 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  21. 21.Kabir and Karan together finish a job in 9 days. Kabir alone takes 12 days. How many days would Karan take alone?
  22. 22.Arjun works twice as fast as Nisha. Together they finish a job in 7 days. How many days would Nisha take alone?
  23. 23.Ishaan can finish a job in 15 days and Dev in 10 days. Ishaan works alone for 3 days and then stops. Dev finishes the rest. How many days does Dev take?
  24. 24.Aarav works twice as fast as Rohan. Together they finish a job in 11 days. How many days would Rohan take alone?
  25. 25.Isha can finish a job in 5 days and Diya in 25 days. Isha works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  26. 26.Vivaan can finish a job in 18 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.Ishaan can finish a job in 22 days and Zoya in 11 days. Ishaan works alone for 2 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  28. 28.Kabir can finish a job in 24 days and Rohan in 20 days. Kabir works alone for 18 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  29. 29.Ishaan can finish a job in 14 days and Sneha in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Saanvi can finish a job in 20 days and Arjun in 24 days. Saanvi works alone for 15 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  31. 31.Rohan and Aditya together finish a job in 3 days. Rohan alone takes 6 days. How many days would Aditya take alone?
  32. 32.Kabir can finish a job in 9 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. =
  33. 33.Nisha and Rahul together finish a job in 2 days. Nisha alone takes 4 days. How many days would Rahul take alone?
  34. 34.Pooja works twice as fast as Isha. Together they finish a job in 9 days. How many days would Isha take alone?
  35. 35.Rohan and Diya together finish a job in 14 days. Rohan alone takes 21 days. How many days would Diya take alone?
  36. 36.Rohan can finish a job in 10 days and Arjun in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Isha can finish a job in 12 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. =
  38. 38.Kabir works three times as fast as Aditya. Together they finish a job in 8 days. How many days would Aditya take alone?
  39. 39.Ananya can finish a job in 19 days and Isha in 3 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 24 days and Isha in 20 days. Aditya works alone for 6 days and then stops. Isha finishes the rest. How many days does Isha take?

Answer key

  1. 198/29
  2. 8
  3. 22/85
  4. 14
  5. 33
  6. 57/22
  7. 42
  8. 204/29
  9. 21/52
  10. 12
  11. 69/112
  12. 17/36
  13. 32/85
  14. 6
  15. 84
  16. 33
  17. 2
  18. 32
  19. 38/21
  20. 2
  21. 36
  22. 21
  23. 8
  24. 33
  25. 15
  26. 90/23
  27. 10
  28. 5
  29. 93/238
  30. 6
  31. 6
  32. 126/23
  33. 4
  34. 27
  35. 42
  36. 19/30
  37. 60/17
  38. 32
  39. 57/22
  40. 15

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