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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 290 · 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.Dev and Ananya together finish a job in 2 days. Dev alone takes 6 days. How many days would Ananya take alone?
  2. 2.Kavya works three times as fast as Aarav. Together they finish a job in 10 days. How many days would Aarav take alone?
  3. 3.Dev and Ananya together finish a job in 2 days. Dev alone takes 4 days. How many days would Ananya take alone?
  4. 4.Karan and Ananya together finish a job in 2 days. Karan alone takes 4 days. How many days would Ananya take alone?
  5. 5.Kabir can finish a job in 8 days and Vivaan in 24 days. Kabir works alone for 6 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  6. 6.Aditya can finish a job in 5 days and Sneha in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Priya works three times as fast as Pooja. Together they finish a job in 12 days. How many days would Pooja take alone?
  8. 8.Isha can finish a job in 6 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. =
  9. 9.Ananya can finish a job in 13 days and Rohan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Vivaan works three times as fast as Ishaan. Together they finish a job in 8 days. How many days would Ishaan take alone?
  11. 11.Kavya and Priya together finish a job in 2 days. Kavya alone takes 3 days. How many days would Priya take alone?
  12. 12.Vivaan can finish a job in 11 days and Saanvi in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Kavya can finish a job in 9 days and Farhan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Karan and Ishaan together finish a job in 12 days. Karan alone takes 16 days. How many days would Ishaan take alone?
  15. 15.Priya can finish a job in 16 days and Nisha in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Tara can finish a job in 15 days and Dev in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  17. 17.Saanvi can finish a job in 6 days and Priya in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Meera can finish a job in 9 days and Karan in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  19. 19.Pooja can finish a job in 5 days and Tara in 30 days. Pooja works alone for 2 days and then stops. Tara finishes the rest. How many days does Tara take?
  20. 20.Diya and Manav together finish a job in 2 days. Diya alone takes 6 days. How many days would Manav take alone?
  21. 21.Ishaan and Dev together finish a job in 6 days. Ishaan alone takes 8 days. How many days would Dev take alone?
  22. 22.Nisha works twice as fast as Kavya. Together they finish a job in 8 days. How many days would Kavya take alone?
  23. 23.Aditya works twice as fast as Farhan. Together they finish a job in 7 days. How many days would Farhan take alone?
  24. 24.Kabir works twice as fast as Dev. Together they finish a job in 2 days. How many days would Dev take alone?
  25. 25.Nisha can finish a job in 7 days and Meera in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Ananya can finish a job in 22 days and Tara in 24 days. Ananya works alone for 11 days and then stops. Tara finishes the rest. How many days does Tara take?
  27. 27.Ishaan works three times as fast as Isha. Together they finish a job in 7 days. How many days would Isha take alone?
  28. 28.Diya can finish a job in 6 days and Sneha in 8 days. Diya works alone for 3 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  29. 29.Meera can finish a job in 13 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. =
  30. 30.Saanvi can finish a job in 4 days and Isha in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Pooja can finish a job in 5 days and Aditya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Ishaan can finish a job in 2 days and Aarav in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Priya can finish a job in 18 days and Tara in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Arjun can finish a job in 3 days and Aarav in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Rohan can finish a job in 6 days and Pooja in 9 days. Rohan works alone for 4 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  36. 36.Kabir and Vivaan together finish a job in 3 days. Kabir alone takes 4 days. How many days would Vivaan take alone?
  37. 37.Kavya can finish a job in 4 days and Aditya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Rohan can finish a job in 10 days and Dev in 8 days. Rohan works alone for 5 days and then stops. Dev finishes the rest. How many days does Dev take?
  39. 39.Meera works three times as fast as Ananya. Together they finish a job in 6 days. How many days would Ananya take alone?
  40. 40.Kabir works three times as fast as Kavya. Together they finish a job in 4 days. How many days would Kavya take alone?

Answer key

  1. 3
  2. 40
  3. 4
  4. 4
  5. 6
  6. 40/13
  7. 48
  8. 102/23
  9. 195/28
  10. 32
  11. 6
  12. 25/154
  13. 126/23
  14. 48
  15. 3/16
  16. 56/195
  17. 19/78
  18. 25/48
  19. 18
  20. 3
  21. 24
  22. 24
  23. 21
  24. 6
  25. 77/18
  26. 12
  27. 28
  28. 4
  29. 234/31
  30. 3/10
  31. 10/3
  32. 8/5
  33. 126/25
  34. 51/20
  35. 3
  36. 12
  37. 20/7
  38. 4
  39. 24
  40. 16

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