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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 149 · 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.Vivaan can finish a job in 19 days and Dev in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Diya can finish a job in 7 days and Kabir in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Diya and Meera together finish a job in 3 days. Diya alone takes 4 days. How many days would Meera take alone?
  4. 4.Karan can finish a job in 12 days and Rahul in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Sneha can finish a job in 17 days and Diya in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  6. 6.Aditya can finish a job in 7 days and Ananya in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  7. 7.Kabir can finish a job in 20 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. =
  8. 8.Tara works three times as fast as Diya. Together they finish a job in 10 days. How many days would Diya take alone?
  9. 9.Priya and Farhan together finish a job in 4 days. Priya alone takes 5 days. How many days would Farhan take alone?
  10. 10.Vivaan works three times as fast as Rahul. Together they finish a job in 6 days. How many days would Rahul take alone?
  11. 11.Sneha can finish a job in 6 days and Diya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Ananya can finish a job in 6 days and Manav in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Pooja works three times as fast as Tara. Together they finish a job in 10 days. How many days would Tara take alone?
  14. 14.Kabir can finish a job in 20 days and Vivaan in 18 days. Kabir works alone for 10 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  15. 15.Zoya can finish a job in 4 days and Tara in 14 days. Zoya works alone for 2 days and then stops. Tara finishes the rest. How many days does Tara take?
  16. 16.Diya can finish a job in 14 days and Zoya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Meera can finish a job in 6 days and Zoya in 30 days. Meera works alone for 1 day and then stops. Zoya finishes the rest. How many days does Zoya take?
  18. 18.Zoya works twice as fast as Priya. Together they finish a job in 12 days. How many days would Priya take alone?
  19. 19.Meera can finish a job in 20 days and Rahul in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  20. 20.Aditya can finish a job in 8 days and Saanvi in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Farhan and Arjun together finish a job in 12 days. Farhan alone takes 14 days. How many days would Arjun take alone?
  22. 22.Nisha can finish a job in 6 days and Zoya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Karan can finish a job in 8 days and Vivaan in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Tara can finish a job in 9 days and Farhan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Ishaan can finish a job in 14 days and Kabir in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Saanvi can finish a job in 20 days and Tara in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  27. 27.Ishaan can finish a job in 2 days and Vivaan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Tara works twice as fast as Rahul. Together they finish a job in 5 days. How many days would Rahul take alone?
  29. 29.Ishaan can finish a job in 4 days and Pooja in 8 days. Ishaan works alone for 2 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  30. 30.Aarav can finish a job in 12 days and Karan in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  31. 31.Aditya can finish a job in 16 days and Ananya in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  32. 32.Meera can finish a job in 8 days and Pooja in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  33. 33.Pooja can finish a job in 16 days and Isha in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  34. 34.Vivaan can finish a job in 15 days and Karan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Tara can finish a job in 11 days and Isha in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  36. 36.Diya works three times as fast as Sneha. Together they finish a job in 8 days. How many days would Sneha take alone?
  37. 37.Dev can finish a job in 18 days and Karan in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  38. 38.Rohan can finish a job in 12 days and Isha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Rohan can finish a job in 12 days and Aditya in 15 days. Rohan works alone for 4 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  40. 40.Kavya can finish a job in 6 days and Ishaan in 18 days. What fraction of the job do they finish if they work together for 3 days? =

Answer key

  1. 39/380
  2. 126/25
  3. 12
  4. 20/3
  5. 37/340
  6. 19/28
  7. 340/37
  8. 40
  9. 20
  10. 24
  11. 3/2
  12. 13/42
  13. 40
  14. 9
  15. 7
  16. 126/23
  17. 25
  18. 36
  19. 13/20
  20. 24/11
  21. 84
  22. 48/11
  23. 13/72
  24. 9/4
  25. 33/56
  26. 3/4
  27. 10/7
  28. 15
  29. 4
  30. 25/78
  31. 27/88
  32. 15/28
  33. 63/80
  34. 30/17
  35. 29/66
  36. 32
  37. 19/180
  38. 36/5
  39. 10
  40. 2/3

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