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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 474 · 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.Priya can finish a job in 3 days and Arjun in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Sneha works twice as fast as Nisha. Together they finish a job in 10 days. How many days would Nisha take alone?
  3. 3.Kavya can finish a job in 7 days and Meera in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Rohan can finish a job in 9 days and Saanvi in 27 days. Rohan works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  5. 5.Karan and Vivaan together finish a job in 2 days. Karan alone takes 3 days. How many days would Vivaan take alone?
  6. 6.Kabir works three times as fast as Sneha. Together they finish a job in 4 days. How many days would Sneha take alone?
  7. 7.Priya can finish a job in 10 days and Dev in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  8. 8.Saanvi can finish a job in 18 days and Pooja in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  9. 9.Ishaan can finish a job in 10 days and Manav in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Tara can finish a job in 24 days and Saanvi in 6 days. Tara works alone for 12 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  11. 11.Sneha can finish a job in 14 days and Zoya in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Priya can finish a job in 4 days and Rohan in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  13. 13.Rahul can finish a job in 8 days and Pooja in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  14. 14.Dev can finish a job in 3 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. =
  15. 15.Isha can finish a job in 24 days and Diya in 8 days. Isha works alone for 21 days and then stops. Diya finishes the rest. How many days does Diya take?
  16. 16.Aarav can finish a job in 14 days and Ananya in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  17. 17.Isha and Farhan together finish a job in 2 days. Isha alone takes 6 days. How many days would Farhan take alone?
  18. 18.Tara can finish a job in 7 days and Sneha in 21 days. Tara works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  19. 19.Tara can finish a job in 16 days and Diya in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Arjun and Ananya together finish a job in 8 days. Arjun alone takes 10 days. How many days would Ananya take alone?
  21. 21.Meera and Rahul together finish a job in 5 days. Meera alone takes 6 days. How many days would Rahul take alone?
  22. 22.Zoya can finish a job in 8 days and Nisha in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Priya can finish a job in 5 days and Nisha in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Zoya can finish a job in 15 days and Priya in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  25. 25.Manav works three times as fast as Vivaan. Together they finish a job in 4 days. How many days would Vivaan take alone?
  26. 26.Kavya can finish a job in 14 days and Rahul in 22 days. Kavya works alone for 7 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  27. 27.Vivaan can finish a job in 9 days and Tara in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  28. 28.Tara can finish a job in 14 days and Zoya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Ananya and Meera together finish a job in 4 days. Ananya alone takes 20 days. How many days would Meera take alone?
  30. 30.Priya can finish a job in 4 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. =
  31. 31.Manav and Vivaan together finish a job in 14 days. Manav alone takes 18 days. How many days would Vivaan take alone?
  32. 32.Diya and Arjun together finish a job in 7 days. Diya alone takes 14 days. How many days would Arjun take alone?
  33. 33.Saanvi can finish a job in 16 days and Zoya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Zoya can finish a job in 12 days and Isha in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Diya can finish a job in 7 days and Rahul in 28 days. Diya works alone for 1 day and then stops. Rahul finishes the rest. How many days does Rahul take?
  36. 36.Saanvi can finish a job in 7 days and Tara in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Nisha can finish a job in 7 days and Aarav in 21 days. Nisha works alone for 1 day and then stops. Aarav finishes the rest. How many days does Aarav take?
  38. 38.Aditya can finish a job in 8 days and Rohan in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  39. 39.Rahul can finish a job in 11 days and Aarav in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  40. 40.Ananya can finish a job in 6 days and Aarav in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 51/20
  2. 30
  3. 42/13
  4. 24
  5. 6
  6. 16
  7. 3/5
  8. 11/30
  9. 130/23
  10. 3
  11. 23/42
  12. 69/76
  13. 13/36
  14. 48/19
  15. 1
  16. 16/63
  17. 3
  18. 15
  19. 33/272
  20. 40
  21. 30
  22. 3/8
  23. 4/15
  24. 22/35
  25. 16
  26. 11
  27. 25/72
  28. 7/4
  29. 5
  30. 68/21
  31. 63
  32. 14
  33. 304/35
  34. 84/13
  35. 24
  36. 19/42
  37. 18
  38. 7/8
  39. 17/66
  40. 30/11

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