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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 420 · 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.Rohan can finish a job in 28 days and Arjun in 26 days. Rohan works alone for 14 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  2. 2.Isha can finish a job in 7 days and Ananya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Dev can finish a job in 20 days and Aarav in 28 days. Dev works alone for 15 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  4. 4.Isha can finish a job in 5 days and Zoya in 10 days. Isha works alone for 4 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  5. 5.Saanvi can finish a job in 6 days and Meera in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Kabir can finish a job in 8 days and Rohan in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  7. 7.Rohan and Isha together finish a job in 2 days. Rohan alone takes 6 days. How many days would Isha take alone?
  8. 8.Sneha works twice as fast as Rohan. Together they finish a job in 9 days. How many days would Rohan take alone?
  9. 9.Diya can finish a job in 17 days and Kabir in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Zoya can finish a job in 19 days and Arjun in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Kabir and Rahul together finish a job in 3 days. Kabir alone takes 4 days. How many days would Rahul take alone?
  12. 12.Tara can finish a job in 18 days and Nisha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Aarav and Farhan together finish a job in 2 days. Aarav alone takes 4 days. How many days would Farhan take alone?
  14. 14.Arjun can finish a job in 12 days and Tara in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  15. 15.Saanvi can finish a job in 2 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. =
  16. 16.Vivaan can finish a job in 8 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. =
  17. 17.Ananya can finish a job in 7 days and Rohan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Diya works twice as fast as Rohan. Together they finish a job in 4 days. How many days would Rohan take alone?
  19. 19.Dev can finish a job in 8 days and Diya in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Kabir can finish a job in 14 days and Karan in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Meera can finish a job in 20 days and Isha in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  22. 22.Manav and Meera together finish a job in 15 days. Manav alone takes 20 days. How many days would Meera take alone?
  23. 23.Saanvi can finish a job in 17 days and Dev in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Kabir and Priya together finish a job in 9 days. Kabir alone takes 18 days. How many days would Priya take alone?
  25. 25.Farhan can finish a job in 18 days and Kabir in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Isha can finish a job in 7 days and Kabir in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Sneha and Aditya together finish a job in 4 days. Sneha alone takes 12 days. How many days would Aditya take alone?
  28. 28.Sneha can finish a job in 6 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. =
  29. 29.Aditya and Diya together finish a job in 6 days. Aditya alone takes 7 days. How many days would Diya take alone?
  30. 30.Karan can finish a job in 2 days and Aditya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Manav works three times as fast as Karan. Together they finish a job in 7 days. How many days would Karan take alone?
  32. 32.Aditya works twice as fast as Zoya. Together they finish a job in 8 days. How many days would Zoya take alone?
  33. 33.Pooja can finish a job in 19 days and Diya in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  34. 34.Priya and Manav together finish a job in 4 days. Priya alone takes 8 days. How many days would Manav take alone?
  35. 35.Diya can finish a job in 8 days and Rohan in 24 days. Diya works alone for 1 day and then stops. Rohan finishes the rest. How many days does Rohan take?
  36. 36.Tara and Zoya together finish a job in 12 days. Tara alone takes 21 days. How many days would Zoya take alone?
  37. 37.Karan and Tara together finish a job in 4 days. Karan alone takes 6 days. How many days would Tara take alone?
  38. 38.Rohan and Meera together finish a job in 4 days. Rohan alone takes 5 days. How many days would Meera take alone?
  39. 39.Diya can finish a job in 15 days and Arjun in 20 days. Diya works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  40. 40.Zoya can finish a job in 4 days and Aditya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 13
  2. 14/9
  3. 7
  4. 2
  5. 21/5
  6. 13/24
  7. 3
  8. 27
  9. 187/28
  10. 78/133
  11. 12
  12. 18/7
  13. 4
  14. 13/28
  15. 8/5
  16. 136/25
  17. 126/25
  18. 12
  19. 9/40
  20. 93/238
  21. 13/20
  22. 60
  23. 255/32
  24. 18
  25. 25/42
  26. 91/20
  27. 6
  28. 66/17
  29. 42
  30. 12/7
  31. 28
  32. 24
  33. 32/247
  34. 8
  35. 21
  36. 28
  37. 12
  38. 20
  39. 16
  40. 52/17

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