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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 423 · 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.Farhan can finish a job in 11 days and Kavya in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  2. 2.Ananya can finish a job in 10 days and Rohan in 12 days. Ananya works alone for 5 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  3. 3.Aarav works three times as fast as Kavya. Together they finish a job in 3 days. How many days would Kavya take alone?
  4. 4.Vivaan and Dev together finish a job in 10 days. Vivaan alone takes 15 days. How many days would Dev take alone?
  5. 5.Ishaan and Aarav together finish a job in 10 days. Ishaan alone takes 12 days. How many days would Aarav take alone?
  6. 6.Vivaan can finish a job in 6 days and Kabir in 21 days. Vivaan works alone for 4 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  7. 7.Aditya can finish a job in 25 days and Tara in 5 days. Aditya works alone for 15 days and then stops. Tara finishes the rest. How many days does Tara take?
  8. 8.Ananya and Isha together finish a job in 3 days. Ananya alone takes 4 days. How many days would Isha take alone?
  9. 9.Diya can finish a job in 17 days and Kavya in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Diya and Sneha together finish a job in 6 days. Diya alone takes 7 days. How many days would Sneha take alone?
  11. 11.Isha can finish a job in 15 days and Priya in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  12. 12.Saanvi can finish a job in 19 days and Farhan in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  13. 13.Ishaan can finish a job in 6 days and Nisha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Dev can finish a job in 12 days and Ananya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Karan can finish a job in 9 days and Meera in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Meera and Sneha together finish a job in 3 days. Meera alone takes 4 days. How many days would Sneha take alone?
  17. 17.Farhan and Tara together finish a job in 4 days. Farhan alone takes 5 days. How many days would Tara take alone?
  18. 18.Dev can finish a job in 13 days and Ishaan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Nisha can finish a job in 18 days and Kavya in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  20. 20.Aarav and Vivaan together finish a job in 2 days. Aarav alone takes 4 days. How many days would Vivaan take alone?
  21. 21.Sneha can finish a job in 7 days and Arjun in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  22. 22.Meera can finish a job in 14 days and Karan in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Sneha can finish a job in 20 days and Diya in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  24. 24.Meera can finish a job in 17 days and Sneha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Dev can finish a job in 24 days and Farhan in 6 days. Dev works alone for 20 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  26. 26.Aditya can finish a job in 5 days and Priya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Ishaan works twice as fast as Rohan. Together they finish a job in 5 days. How many days would Rohan take alone?
  28. 28.Aditya and Ishaan together finish a job in 4 days. Aditya alone takes 5 days. How many days would Ishaan take alone?
  29. 29.Arjun works three times as fast as Manav. Together they finish a job in 7 days. How many days would Manav take alone?
  30. 30.Diya and Ishaan together finish a job in 3 days. Diya alone takes 6 days. How many days would Ishaan take alone?
  31. 31.Manav can finish a job in 19 days and Tara in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Isha can finish a job in 8 days and Meera in 12 days. Isha works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
  33. 33.Diya can finish a job in 4 days and Farhan in 28 days. Diya works alone for 3 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  34. 34.Tara can finish a job in 15 days and Rohan in 10 days. Tara works alone for 12 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  35. 35.Pooja and Kabir together finish a job in 14 days. Pooja alone takes 18 days. How many days would Kabir take alone?
  36. 36.Kabir can finish a job in 24 days and Aditya in 16 days. Kabir works alone for 18 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  37. 37.Dev can finish a job in 10 days and Meera in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  38. 38.Sneha can finish a job in 7 days and Rahul in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  39. 39.Meera works three times as fast as Manav. Together they finish a job in 12 days. How many days would Manav take alone?
  40. 40.Aarav can finish a job in 6 days and Nisha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 40/99
  2. 6
  3. 12
  4. 30
  5. 60
  6. 7
  7. 2
  8. 12
  9. 48/119
  10. 42
  11. 34/285
  12. 33/133
  13. 42/13
  14. 204/29
  15. 180/29
  16. 12
  17. 20
  18. 91/20
  19. 31/78
  20. 4
  21. 60/91
  22. 25/77
  23. 117/380
  24. 68/21
  25. 1
  26. 90/23
  27. 15
  28. 20
  29. 28
  30. 6
  31. 95/24
  32. 9
  33. 7
  34. 2
  35. 63
  36. 4
  37. 3/10
  38. 19/42
  39. 48
  40. 102/23

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