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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 94 · 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.Kabir can finish a job in 5 days and Aditya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Rohan can finish a job in 11 days and Pooja in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Meera can finish a job in 19 days and Sneha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Vivaan can finish a job in 8 days and Kabir in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  5. 5.Vivaan can finish a job in 16 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. =
  6. 6.Aarav works twice as fast as Meera. Together they finish a job in 7 days. How many days would Meera take alone?
  7. 7.Aditya can finish a job in 9 days and Pooja in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Pooja can finish a job in 13 days and Aarav in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Vivaan can finish a job in 6 days and Rohan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Diya and Farhan together finish a job in 2 days. Diya alone takes 3 days. How many days would Farhan take alone?
  11. 11.Karan can finish a job in 17 days and Sneha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Meera and Dev together finish a job in 14 days. Meera alone takes 18 days. How many days would Dev take alone?
  13. 13.Meera works twice as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
  14. 14.Sneha can finish a job in 4 days and Arjun in 10 days. Sneha works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  15. 15.Saanvi and Sneha together finish a job in 3 days. Saanvi alone takes 4 days. How many days would Sneha take alone?
  16. 16.Aarav can finish a job in 12 days and Manav in 26 days. Aarav works alone for 6 days and then stops. Manav finishes the rest. How many days does Manav take?
  17. 17.Saanvi can finish a job in 17 days and Zoya in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Isha and Meera together finish a job in 3 days. Isha alone takes 4 days. How many days would Meera take alone?
  19. 19.Kavya can finish a job in 11 days and Nisha in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Meera can finish a job in 14 days and Aditya in 21 days. Meera works alone for 10 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  21. 21.Tara can finish a job in 6 days and Priya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Kavya can finish a job in 5 days and Aarav in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Manav works three times as fast as Diya. Together they finish a job in 7 days. How many days would Diya take alone?
  24. 24.Saanvi can finish a job in 5 days and Ananya in 10 days. Saanvi works alone for 3 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  25. 25.Rohan can finish a job in 4 days and Vivaan in 20 days. Rohan works alone for 1 day and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  26. 26.Rohan works three times as fast as Farhan. Together they finish a job in 10 days. How many days would Farhan take alone?
  27. 27.Meera and Ishaan together finish a job in 2 days. Meera alone takes 4 days. How many days would Ishaan take alone?
  28. 28.Dev and Arjun together finish a job in 3 days. Dev alone takes 4 days. How many days would Arjun take alone?
  29. 29.Tara can finish a job in 8 days and Ananya in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Kabir can finish a job in 19 days and Zoya in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Vivaan works three times as fast as Rahul. Together they finish a job in 10 days. How many days would Rahul take alone?
  32. 32.Zoya can finish a job in 11 days and Arjun in 22 days. Zoya works alone for 6 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  33. 33.Kabir and Rohan together finish a job in 2 days. Kabir alone takes 3 days. How many days would Rohan take alone?
  34. 34.Priya can finish a job in 19 days and Zoya in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  35. 35.Ishaan and Tara together finish a job in 7 days. Ishaan alone takes 8 days. How many days would Tara take alone?
  36. 36.Ishaan can finish a job in 6 days and Aarav in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Tara can finish a job in 9 days and Kavya in 27 days. Tara works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  38. 38.Ishaan works twice as fast as Vivaan. Together they finish a job in 8 days. How many days would Vivaan take alone?
  39. 39.Pooja and Ishaan together finish a job in 2 days. Pooja alone takes 6 days. How many days would Ishaan take alone?
  40. 40.Farhan can finish a job in 14 days and Saanvi in 20 days. What fraction of the job do they finish if they work together for 3 days? =

Answer key

  1. 65/18
  2. 99/20
  3. 133/26
  4. 23/120
  5. 144/25
  6. 21
  7. 153/26
  8. 104/21
  9. 30/7
  10. 6
  11. 306/35
  12. 63
  13. 24
  14. 5
  15. 12
  16. 13
  17. 25/136
  18. 12
  19. 25/154
  20. 6
  21. 114/25
  22. 44/85
  23. 28
  24. 4
  25. 15
  26. 40
  27. 4
  28. 12
  29. 45/56
  30. 36/323
  31. 40
  32. 10
  33. 6
  34. 48/95
  35. 56
  36. 4/5
  37. 21
  38. 24
  39. 3
  40. 51/140

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