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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 183 · 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.Priya can finish a job in 5 days and Nisha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Kabir can finish a job in 18 days and Rohan in 30 days. Kabir works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  3. 3.Vivaan can finish a job in 5 days and Zoya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Arjun works three times as fast as Kabir. Together they finish a job in 2 days. How many days would Kabir take alone?
  5. 5.Kabir can finish a job in 12 days and Isha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Manav can finish a job in 19 days and Ishaan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Rohan can finish a job in 9 days and Manav in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  8. 8.Sneha can finish a job in 24 days and Meera in 14 days. Sneha works alone for 12 days and then stops. Meera finishes the rest. How many days does Meera take?
  9. 9.Arjun can finish a job in 4 days and Rahul in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Aditya can finish a job in 4 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. =
  11. 11.Farhan can finish a job in 6 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. =
  12. 12.Karan and Meera together finish a job in 8 days. Karan alone takes 9 days. How many days would Meera take alone?
  13. 13.Ananya can finish a job in 8 days and Ishaan in 10 days. Ananya works alone for 4 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  14. 14.Diya can finish a job in 13 days and Arjun in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Pooja can finish a job in 15 days and Meera in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Kavya works twice as fast as Ishaan. Together they finish a job in 8 days. How many days would Ishaan take alone?
  17. 17.Rohan can finish a job in 17 days and Diya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Rahul can finish a job in 4 days and Pooja in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  19. 19.Diya and Pooja together finish a job in 6 days. Diya alone takes 15 days. How many days would Pooja take alone?
  20. 20.Dev can finish a job in 12 days and Pooja in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Farhan can finish a job in 5 days and Rohan in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Aarav works three times as fast as Isha. Together they finish a job in 3 days. How many days would Isha take alone?
  23. 23.Sneha can finish a job in 6 days and Aarav in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Tara works three times as fast as Pooja. Together they finish a job in 2 days. How many days would Pooja take alone?
  25. 25.Saanvi can finish a job in 14 days and Kabir in 24 days. Saanvi works alone for 7 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  26. 26.Rohan can finish a job in 12 days and Isha in 28 days. Rohan works alone for 9 days and then stops. Isha finishes the rest. How many days does Isha take?
  27. 27.Meera and Diya together finish a job in 6 days. Meera alone takes 12 days. How many days would Diya take alone?
  28. 28.Saanvi can finish a job in 12 days and Kavya in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  29. 29.Kabir works twice as fast as Isha. Together they finish a job in 9 days. How many days would Isha take alone?
  30. 30.Rohan can finish a job in 20 days and Isha in 28 days. Rohan works alone for 15 days and then stops. Isha finishes the rest. How many days does Isha take?
  31. 31.Rohan can finish a job in 9 days and Rahul in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Karan can finish a job in 16 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. =
  33. 33.Arjun can finish a job in 5 days and Saanvi in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  34. 34.Diya works three times as fast as Nisha. Together they finish a job in 8 days. How many days would Nisha take alone?
  35. 35.Kabir can finish a job in 17 days and Rahul in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Aditya can finish a job in 12 days and Kabir in 18 days. Aditya works alone for 8 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  37. 37.Aditya can finish a job in 18 days and Karan in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Meera works three times as fast as Diya. Together they finish a job in 5 days. How many days would Diya take alone?
  39. 39.Diya can finish a job in 12 days and Tara in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  40. 40.Rohan works three times as fast as Nisha. Together they finish a job in 10 days. How many days would Nisha take alone?

Answer key

  1. 20/9
  2. 25
  3. 85/22
  4. 8
  5. 3
  6. 323/36
  7. 22/39
  8. 7
  9. 15/22
  10. 52/17
  11. 2
  12. 72
  13. 5
  14. 52/17
  15. 45/8
  16. 24
  17. 102/23
  18. 3/8
  19. 10
  20. 23/132
  21. 24/95
  22. 12
  23. 10/21
  24. 8
  25. 12
  26. 7
  27. 12
  28. 23/132
  29. 27
  30. 7
  31. 36/13
  32. 80/13
  33. 39/40
  34. 32
  35. 136/25
  36. 6
  37. 19/60
  38. 20
  39. 1/2
  40. 40

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