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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 373 · 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.Sneha can finish a job in 20 days and Nisha in 10 days. Sneha works alone for 12 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  2. 2.Priya can finish a job in 12 days and Rohan in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Kabir can finish a job in 3 days and Nisha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Dev and Vivaan together finish a job in 3 days. Dev alone takes 4 days. How many days would Vivaan take alone?
  5. 5.Diya and Dev together finish a job in 2 days. Diya alone takes 4 days. How many days would Dev take alone?
  6. 6.Ananya works three times as fast as Karan. Together they finish a job in 4 days. How many days would Karan take alone?
  7. 7.Isha can finish a job in 12 days and Priya in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  8. 8.Kavya works three times as fast as Ananya. Together they finish a job in 4 days. How many days would Ananya take alone?
  9. 9.Rohan works three times as fast as Tara. Together they finish a job in 6 days. How many days would Tara take alone?
  10. 10.Saanvi can finish a job in 4 days and Aarav in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Ananya can finish a job in 12 days and Farhan in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  12. 12.Tara and Kavya together finish a job in 3 days. Tara alone takes 6 days. How many days would Kavya take alone?
  13. 13.Kavya works twice as fast as Priya. Together they finish a job in 7 days. How many days would Priya take alone?
  14. 14.Sneha works twice as fast as Saanvi. Together they finish a job in 7 days. How many days would Saanvi take alone?
  15. 15.Aditya can finish a job in 10 days and Farhan in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Isha works twice as fast as Ananya. Together they finish a job in 11 days. How many days would Ananya take alone?
  17. 17.Isha can finish a job in 17 days and Diya in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Ananya and Arjun together finish a job in 10 days. Ananya alone takes 30 days. How many days would Arjun take alone?
  19. 19.Nisha and Sneha together finish a job in 2 days. Nisha alone takes 4 days. How many days would Sneha take alone?
  20. 20.Farhan can finish a job in 15 days and Pooja in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Rohan can finish a job in 6 days and Diya in 24 days. Rohan works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  22. 22.Aarav and Kabir together finish a job in 2 days. Aarav alone takes 4 days. How many days would Kabir take alone?
  23. 23.Karan can finish a job in 7 days and Vivaan in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  24. 24.Isha and Rohan together finish a job in 4 days. Isha alone takes 5 days. How many days would Rohan take alone?
  25. 25.Kabir can finish a job in 6 days and Rohan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Ishaan and Diya together finish a job in 6 days. Ishaan alone takes 12 days. How many days would Diya take alone?
  27. 27.Priya can finish a job in 8 days and Karan in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  28. 28.Dev and Karan together finish a job in 2 days. Dev alone takes 3 days. How many days would Karan take alone?
  29. 29.Manav and Karan together finish a job in 2 days. Manav alone takes 3 days. How many days would Karan take alone?
  30. 30.Kabir and Isha together finish a job in 8 days. Kabir alone takes 16 days. How many days would Isha take alone?
  31. 31.Meera can finish a job in 4 days and Dev in 12 days. Meera works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
  32. 32.Vivaan can finish a job in 8 days and Tara in 28 days. Vivaan works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
  33. 33.Saanvi works twice as fast as Priya. Together they finish a job in 4 days. How many days would Priya take alone?
  34. 34.Isha works three times as fast as Diya. Together they finish a job in 5 days. How many days would Diya take alone?
  35. 35.Rohan can finish a job in 18 days and Kavya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Ananya and Diya together finish a job in 5 days. Ananya alone takes 10 days. How many days would Diya take alone?
  37. 37.Kabir can finish a job in 12 days and Pooja in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Tara works twice as fast as Manav. Together they finish a job in 5 days. How many days would Manav take alone?
  39. 39.Nisha and Meera together finish a job in 2 days. Nisha alone takes 3 days. How many days would Meera take alone?
  40. 40.Sneha and Saanvi together finish a job in 4 days. Sneha alone takes 8 days. How many days would Saanvi take alone?

Answer key

  1. 4
  2. 13/84
  3. 18/7
  4. 12
  5. 4
  6. 16
  7. 31/114
  8. 16
  9. 24
  10. 52/17
  11. 25/156
  12. 6
  13. 21
  14. 21
  15. 7/15
  16. 33
  17. 25/136
  18. 15
  19. 4
  20. 5/2
  21. 16
  22. 4
  23. 51/70
  24. 20
  25. 102/23
  26. 12
  27. 5/8
  28. 6
  29. 6
  30. 16
  31. 6
  32. 14
  33. 12
  34. 20
  35. 198/29
  36. 10
  37. 9/20
  38. 15
  39. 6
  40. 8

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