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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 226 · 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.Karan works twice as fast as Rahul. Together they finish a job in 2 days. How many days would Rahul take alone?
  2. 2.Kavya can finish a job in 16 days and Kabir in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  3. 3.Tara can finish a job in 12 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. =
  4. 4.Nisha can finish a job in 3 days and Farhan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Diya and Nisha together finish a job in 3 days. Diya alone takes 12 days. How many days would Nisha take alone?
  6. 6.Saanvi can finish a job in 10 days and Zoya in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  7. 7.Kabir can finish a job in 2 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. =
  8. 8.Farhan and Pooja together finish a job in 4 days. Farhan alone takes 5 days. How many days would Pooja take alone?
  9. 9.Ananya works three times as fast as Aarav. Together they finish a job in 7 days. How many days would Aarav take alone?
  10. 10.Vivaan can finish a job in 8 days and Priya in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Diya and Priya together finish a job in 6 days. Diya alone takes 15 days. How many days would Priya take alone?
  12. 12.Saanvi works twice as fast as Karan. Together they finish a job in 5 days. How many days would Karan take alone?
  13. 13.Diya can finish a job in 12 days and Dev in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Rahul can finish a job in 6 days and Ananya in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  15. 15.Kabir works twice as fast as Rohan. Together they finish a job in 6 days. How many days would Rohan take alone?
  16. 16.Aditya can finish a job in 18 days and Diya in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  17. 17.Vivaan can finish a job in 7 days and Aarav in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Kavya works twice as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?
  19. 19.Farhan can finish a job in 30 days and Aarav in 12 days. Farhan works alone for 5 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  20. 20.Ananya can finish a job in 11 days and Kabir in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Zoya works three times as fast as Rohan. Together they finish a job in 2 days. How many days would Rohan take alone?
  22. 22.Nisha works three times as fast as Rohan. Together they finish a job in 11 days. How many days would Rohan take alone?
  23. 23.Sneha can finish a job in 13 days and Kavya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Dev can finish a job in 20 days and Zoya in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Kabir and Ananya together finish a job in 5 days. Kabir alone takes 30 days. How many days would Ananya take alone?
  26. 26.Priya can finish a job in 4 days and Arjun in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Arjun can finish a job in 8 days and Diya in 4 days. Arjun works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  28. 28.Ananya works twice as fast as Zoya. Together they finish a job in 2 days. How many days would Zoya take alone?
  29. 29.Isha can finish a job in 20 days and Tara in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  30. 30.Vivaan can finish a job in 11 days and Ananya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Meera can finish a job in 19 days and Nisha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Nisha works three times as fast as Diya. Together they finish a job in 3 days. How many days would Diya take alone?
  33. 33.Rahul can finish a job in 7 days and Karan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Kabir can finish a job in 20 days and Aditya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Ananya can finish a job in 9 days and Sneha in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Isha can finish a job in 15 days and Vivaan in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Farhan works three times as fast as Isha. Together they finish a job in 3 days. How many days would Isha take alone?
  38. 38.Saanvi can finish a job in 11 days and Kabir in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Kavya can finish a job in 8 days and Aditya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Kabir can finish a job in 8 days and Arjun in 13 days. What fraction of the job do they finish if they work together for 2 days? =

Answer key

  1. 6
  2. 27/88
  3. 12/5
  4. 48/19
  5. 4
  6. 9/20
  7. 9/5
  8. 20
  9. 28
  10. 27/40
  11. 10
  12. 15
  13. 84/13
  14. 17/33
  15. 18
  16. 7/15
  17. 126/25
  18. 12
  19. 10
  20. 209/30
  21. 8
  22. 44
  23. 247/32
  24. 9/80
  25. 6
  26. 20/7
  27. 3
  28. 6
  29. 29/180
  30. 26/165
  31. 133/26
  32. 12
  33. 133/26
  34. 20/11
  35. 90/19
  36. 34/95
  37. 12
  38. 132/23
  39. 16/3
  40. 21/52

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