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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 362 · 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.Ananya can finish a job in 13 days and Dev in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Ishaan and Zoya together finish a job in 21 days. Ishaan alone takes 30 days. How many days would Zoya take alone?
  3. 3.Zoya can finish a job in 19 days and Priya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Dev can finish a job in 4 days and Farhan in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  5. 5.Tara can finish a job in 9 days and Pooja in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  6. 6.Saanvi can finish a job in 6 days and Ishaan in 24 days. Saanvi works alone for 3 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  7. 7.Sneha and Tara together finish a job in 4 days. Sneha alone takes 20 days. How many days would Tara take alone?
  8. 8.Diya can finish a job in 5 days and Arjun in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Kabir can finish a job in 9 days and Kavya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Aditya can finish a job in 7 days and Ishaan in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  11. 11.Karan can finish a job in 17 days and Kabir in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Manav can finish a job in 17 days and Diya in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Rahul can finish a job in 19 days and Aditya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Diya can finish a job in 15 days and Meera in 20 days. Diya works alone for 9 days and then stops. Meera finishes the rest. How many days does Meera take?
  15. 15.Rohan can finish a job in 14 days and Isha in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Kabir can finish a job in 15 days and Isha in 20 days. Kabir works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
  17. 17.Dev can finish a job in 12 days and Kavya in 26 days. Dev works alone for 6 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  18. 18.Karan works twice as fast as Pooja. Together they finish a job in 3 days. How many days would Pooja take alone?
  19. 19.Sneha works twice as fast as Kabir. Together they finish a job in 12 days. How many days would Kabir take alone?
  20. 20.Meera works three times as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  21. 21.Rohan can finish a job in 4 days and Aditya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Meera can finish a job in 5 days and Aarav in 20 days. Meera works alone for 3 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  23. 23.Priya can finish a job in 7 days and Farhan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Isha can finish a job in 11 days and Saanvi in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  25. 25.Isha and Pooja together finish a job in 5 days. Isha alone takes 6 days. How many days would Pooja take alone?
  26. 26.Nisha can finish a job in 15 days and Kabir in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Nisha can finish a job in 10 days and Aditya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Sneha can finish a job in 4 days and Aarav in 9 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 15 days and Rahul in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  30. 30.Vivaan can finish a job in 21 days and Pooja in 9 days. Vivaan works alone for 14 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  31. 31.Aarav can finish a job in 19 days and Nisha in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Diya can finish a job in 4 days and Farhan in 10 days. Diya works alone for 2 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  33. 33.Diya can finish a job in 8 days and Meera in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  34. 34.Ishaan can finish a job in 4 days and Meera in 22 days. Ishaan works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
  35. 35.Isha can finish a job in 8 days and Kavya in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Kabir and Farhan together finish a job in 3 days. Kabir alone takes 4 days. How many days would Farhan take alone?
  37. 37.Karan can finish a job in 4 days and Farhan in 6 days. Karan works alone for 2 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  38. 38.Kabir can finish a job in 10 days and Rohan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Diya and Pooja together finish a job in 2 days. Diya alone takes 3 days. How many days would Pooja take alone?
  40. 40.Kavya can finish a job in 8 days and Arjun in 10 days. Kavya works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?

Answer key

  1. 208/29
  2. 70
  3. 190/29
  4. 5/8
  5. 44/117
  6. 12
  7. 5
  8. 23/90
  9. 63/16
  10. 18/77
  11. 119/24
  12. 26/153
  13. 171/28
  14. 8
  15. 25/154
  16. 16
  17. 13
  18. 9
  19. 36
  20. 16
  21. 36/13
  22. 8
  23. 63/16
  24. 36/77
  25. 30
  26. 23/60
  27. 6
  28. 36/13
  29. 31/240
  30. 3
  31. 28/57
  32. 5
  33. 23/120
  34. 11
  35. 17/36
  36. 12
  37. 3
  38. 60/11
  39. 6
  40. 5

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