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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 163 · 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.Tara can finish a job in 4 days and Dev in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Vivaan can finish a job in 4 days and Aarav in 16 days. Vivaan works alone for 3 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  3. 3.Aarav and Ananya together finish a job in 2 days. Aarav alone takes 4 days. How many days would Ananya take alone?
  4. 4.Rohan can finish a job in 15 days and Sneha in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  5. 5.Karan can finish a job in 2 days and Rahul in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Farhan can finish a job in 15 days and Ananya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Manav can finish a job in 4 days and Isha in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  8. 8.Karan works three times as fast as Aditya. Together they finish a job in 12 days. How many days would Aditya take alone?
  9. 9.Ananya can finish a job in 15 days and Meera in 20 days. Ananya works alone for 12 days and then stops. Meera finishes the rest. How many days does Meera take?
  10. 10.Meera can finish a job in 4 days and Tara in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Sneha can finish a job in 5 days and Ishaan in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Farhan can finish a job in 11 days and Rohan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Kavya can finish a job in 7 days and Kabir in 28 days. Kavya works alone for 3 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  14. 14.Kavya can finish a job in 20 days and Dev in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Pooja can finish a job in 8 days and Dev in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Aditya can finish a job in 16 days and Saanvi in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Aarav and Sneha together finish a job in 2 days. Aarav alone takes 4 days. How many days would Sneha take alone?
  18. 18.Saanvi can finish a job in 15 days and Arjun in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  19. 19.Manav can finish a job in 16 days and Rahul in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Manav can finish a job in 12 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. =
  21. 21.Pooja and Arjun together finish a job in 10 days. Pooja alone takes 14 days. How many days would Arjun take alone?
  22. 22.Vivaan can finish a job in 19 days and Nisha in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Saanvi works twice as fast as Pooja. Together they finish a job in 10 days. How many days would Pooja take alone?
  24. 24.Manav works twice as fast as Ananya. Together they finish a job in 7 days. How many days would Ananya take alone?
  25. 25.Meera and Diya together finish a job in 4 days. Meera alone takes 12 days. How many days would Diya take alone?
  26. 26.Meera can finish a job in 19 days and Ananya in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  27. 27.Ishaan and Karan together finish a job in 6 days. Ishaan alone takes 15 days. How many days would Karan take alone?
  28. 28.Manav can finish a job in 14 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. =
  29. 29.Karan can finish a job in 9 days and Zoya in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  30. 30.Sneha can finish a job in 17 days and Vivaan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Saanvi works twice as fast as Manav. Together they finish a job in 2 days. How many days would Manav take alone?
  32. 32.Tara can finish a job in 13 days and Isha in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  33. 33.Pooja can finish a job in 9 days and Aditya in 12 days. Pooja works alone for 3 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  34. 34.Nisha can finish a job in 18 days and Manav in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  35. 35.Meera can finish a job in 17 days and Manav in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Rahul can finish a job in 18 days and Vivaan in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Farhan can finish a job in 4 days and Meera in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  38. 38.Aditya can finish a job in 19 days and Isha in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  39. 39.Ananya works three times as fast as Diya. Together they finish a job in 4 days. How many days would Diya take alone?
  40. 40.Aarav and Meera together finish a job in 2 days. Aarav alone takes 3 days. How many days would Meera take alone?

Answer key

  1. 68/21
  2. 4
  3. 4
  4. 11/45
  5. 16/9
  6. 5/2
  7. 9/28
  8. 48
  9. 4
  10. 8/3
  11. 63/80
  12. 110/21
  13. 16
  14. 7/60
  15. 72/13
  16. 304/35
  17. 4
  18. 9/20
  19. 48/7
  20. 12/5
  21. 35
  22. 39/380
  23. 30
  24. 21
  25. 6
  26. 72/95
  27. 10
  28. 70/19
  29. 29/180
  30. 221/30
  31. 6
  32. 28/65
  33. 8
  34. 31/234
  35. 30/221
  36. 11/90
  37. 3/4
  38. 31/114
  39. 16
  40. 6

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