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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 301 · 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 9 days and Saanvi in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Manav can finish a job in 20 days and Priya in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  3. 3.Diya can finish a job in 15 days and Karan in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  4. 4.Ananya and Dev together finish a job in 8 days. Ananya alone takes 24 days. How many days would Dev take alone?
  5. 5.Meera can finish a job in 4 days and Karan in 12 days. Meera works alone for 2 days and then stops. Karan finishes the rest. How many days does Karan take?
  6. 6.Pooja can finish a job in 15 days and Isha in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  7. 7.Meera can finish a job in 30 days and Rohan in 14 days. Meera works alone for 15 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  8. 8.Ananya works twice as fast as Farhan. Together they finish a job in 10 days. How many days would Farhan take alone?
  9. 9.Meera works three times as fast as Sneha. Together they finish a job in 5 days. How many days would Sneha take alone?
  10. 10.Arjun can finish a job in 10 days and Farhan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Sneha and Pooja together finish a job in 4 days. Sneha alone takes 8 days. How many days would Pooja take alone?
  12. 12.Kabir can finish a job in 2 days and Ishaan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Arjun works three times as fast as Rohan. Together they finish a job in 2 days. How many days would Rohan take alone?
  14. 14.Pooja and Kabir together finish a job in 2 days. Pooja alone takes 3 days. How many days would Kabir take alone?
  15. 15.Pooja can finish a job in 19 days and Kavya in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Sneha can finish a job in 12 days and Kavya in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  17. 17.Saanvi can finish a job in 11 days and Sneha in 22 days. Saanvi works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  18. 18.Pooja can finish a job in 18 days and Dev in 6 days. Pooja works alone for 3 days and then stops. Dev finishes the rest. How many days does Dev take?
  19. 19.Manav works three times as fast as Sneha. Together they finish a job in 9 days. How many days would Sneha take alone?
  20. 20.Meera works three times as fast as Manav. Together they finish a job in 10 days. How many days would Manav take alone?
  21. 21.Karan can finish a job in 17 days and Sneha in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Isha can finish a job in 9 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. =
  23. 23.Aditya can finish a job in 8 days and Vivaan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Kabir and Dev together finish a job in 2 days. Kabir alone takes 6 days. How many days would Dev take alone?
  25. 25.Tara can finish a job in 7 days and Zoya in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Meera works three times as fast as Rohan. Together they finish a job in 8 days. How many days would Rohan take alone?
  27. 27.Pooja and Kabir together finish a job in 10 days. Pooja alone takes 30 days. How many days would Kabir take alone?
  28. 28.Tara can finish a job in 17 days and Arjun in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Tara can finish a job in 3 days and Ananya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Kavya can finish a job in 9 days and Meera in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Nisha can finish a job in 4 days and Zoya in 28 days. Nisha works alone for 2 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  32. 32.Aarav can finish a job in 8 days and Vivaan in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Aarav can finish a job in 18 days and Tara in 20 days. Aarav works alone for 9 days and then stops. Tara finishes the rest. How many days does Tara take?
  34. 34.Vivaan works twice as fast as Sneha. Together they finish a job in 2 days. How many days would Sneha take alone?
  35. 35.Diya can finish a job in 13 days and Kavya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Aarav can finish a job in 18 days and Ananya in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Aditya can finish a job in 13 days and Aarav in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  38. 38.Aditya and Meera together finish a job in 8 days. Aditya alone takes 16 days. How many days would Meera take alone?
  39. 39.Ishaan can finish a job in 18 days and Vivaan in 10 days. Ishaan works alone for 9 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  40. 40.Arjun can finish a job in 4 days and Vivaan in 8 days. Arjun works alone for 2 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?

Answer key

  1. 23/126
  2. 117/380
  3. 19/30
  4. 12
  5. 6
  6. 22/35
  7. 7
  8. 30
  9. 20
  10. 10/3
  11. 8
  12. 18/11
  13. 8
  14. 6
  15. 108/323
  16. 1/4
  17. 18
  18. 5
  19. 36
  20. 40
  21. 30/221
  22. 63/16
  23. 16/3
  24. 3
  25. 78/133
  26. 32
  27. 15
  28. 85/22
  29. 2
  30. 7/36
  31. 14
  32. 5/24
  33. 10
  34. 6
  35. 130/23
  36. 5/12
  37. 17/52
  38. 16
  39. 5
  40. 4

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