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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 282 · 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 8 days and Ananya in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Ishaan can finish a job in 20 days and Saanvi in 10 days. Ishaan works alone for 6 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  3. 3.Diya can finish a job in 28 days and Meera in 14 days. Diya works alone for 26 days and then stops. Meera finishes the rest. How many days does Meera take?
  4. 4.Priya and Rahul together finish a job in 2 days. Priya alone takes 3 days. How many days would Rahul take alone?
  5. 5.Dev can finish a job in 8 days and Karan in 12 days. Dev works alone for 4 days and then stops. Karan finishes the rest. How many days does Karan take?
  6. 6.Ananya can finish a job in 15 days and Meera in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Sneha works three times as fast as Farhan. Together they finish a job in 4 days. How many days would Farhan take alone?
  8. 8.Rohan can finish a job in 17 days and Nisha in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  9. 9.Pooja and Vivaan together finish a job in 2 days. Pooja alone takes 3 days. How many days would Vivaan take alone?
  10. 10.Diya can finish a job in 24 days and Aarav in 16 days. Diya works alone for 18 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  11. 11.Aarav can finish a job in 12 days and Kabir in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Aditya can finish a job in 13 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. =
  13. 13.Rahul can finish a job in 14 days and Tara in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Vivaan and Kabir together finish a job in 2 days. Vivaan alone takes 4 days. How many days would Kabir take alone?
  15. 15.Zoya works twice as fast as Nisha. Together they finish a job in 12 days. How many days would Nisha take alone?
  16. 16.Arjun can finish a job in 14 days and Rohan in 7 days. Arjun works alone for 8 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  17. 17.Ishaan works twice as fast as Isha. Together they finish a job in 5 days. How many days would Isha take alone?
  18. 18.Saanvi can finish a job in 16 days and Aarav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Zoya can finish a job in 16 days and Farhan in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  20. 20.Arjun and Aarav together finish a job in 12 days. Arjun alone takes 21 days. How many days would Aarav take alone?
  21. 21.Pooja can finish a job in 19 days and Karan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Rohan can finish a job in 8 days and Aditya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Ananya can finish a job in 3 days and Diya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Kavya can finish a job in 24 days and Rahul in 15 days. Kavya works alone for 8 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  25. 25.Saanvi works three times as fast as Aditya. Together they finish a job in 6 days. How many days would Aditya take alone?
  26. 26.Diya can finish a job in 9 days and Rahul in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Isha and Kavya together finish a job in 8 days. Isha alone takes 9 days. How many days would Kavya take alone?
  28. 28.Rohan and Isha together finish a job in 6 days. Rohan alone takes 8 days. How many days would Isha take alone?
  29. 29.Aarav and Ishaan together finish a job in 15 days. Aarav alone takes 20 days. How many days would Ishaan take alone?
  30. 30.Nisha and Karan together finish a job in 2 days. Nisha alone takes 3 days. How many days would Karan take alone?
  31. 31.Diya can finish a job in 2 days and Meera in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Ishaan can finish a job in 18 days and Meera in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Diya can finish a job in 11 days and Manav in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Rahul and Pooja together finish a job in 4 days. Rahul alone takes 5 days. How many days would Pooja take alone?
  35. 35.Farhan can finish a job in 12 days and Kabir in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Aarav works three times as fast as Nisha. Together they finish a job in 5 days. How many days would Nisha take alone?
  37. 37.Priya and Nisha together finish a job in 6 days. Priya alone takes 8 days. How many days would Nisha take alone?
  38. 38.Karan works twice as fast as Nisha. Together they finish a job in 9 days. How many days would Nisha take alone?
  39. 39.Ananya can finish a job in 10 days and Karan in 15 days. Ananya works alone for 8 days and then stops. Karan finishes the rest. How many days does Karan take?
  40. 40.Isha and Aarav together finish a job in 4 days. Isha alone takes 5 days. How many days would Aarav take alone?

Answer key

  1. 19/88
  2. 7
  3. 1
  4. 6
  5. 6
  6. 165/26
  7. 16
  8. 90/221
  9. 6
  10. 4
  11. 60/17
  12. 221/30
  13. 5/21
  14. 4
  15. 36
  16. 3
  17. 15
  18. 48/11
  19. 25/48
  20. 28
  21. 133/26
  22. 24/11
  23. 18/7
  24. 10
  25. 24
  26. 63/16
  27. 72
  28. 24
  29. 60
  30. 6
  31. 14/9
  32. 90/11
  33. 22/13
  34. 20
  35. 84/19
  36. 20
  37. 24
  38. 27
  39. 3
  40. 20

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