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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 266 · 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.Arjun can finish a job in 7 days and Dev in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Ananya and Rohan together finish a job in 2 days. Ananya alone takes 4 days. How many days would Rohan take alone?
  3. 3.Aditya can finish a job in 17 days and Rahul in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Saanvi works three times as fast as Meera. Together they finish a job in 11 days. How many days would Meera take alone?
  5. 5.Aditya works twice as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?
  6. 6.Rahul can finish a job in 20 days and Rohan in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  7. 7.Ananya can finish a job in 9 days and Meera in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  8. 8.Diya can finish a job in 4 days and Pooja in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Sneha can finish a job in 6 days and Kabir in 30 days. Sneha works alone for 5 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  10. 10.Isha works twice as fast as Sneha. Together they finish a job in 6 days. How many days would Sneha take alone?
  11. 11.Arjun can finish a job in 12 days and Kavya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Aarav works twice as fast as Arjun. Together they finish a job in 3 days. How many days would Arjun take alone?
  13. 13.Vivaan can finish a job in 14 days and Tara in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Isha can finish a job in 9 days and Rohan in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  15. 15.Diya can finish a job in 19 days and Manav in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Rohan works twice as fast as Zoya. Together they finish a job in 4 days. How many days would Zoya take alone?
  17. 17.Ananya works twice as fast as Kabir. Together they finish a job in 2 days. How many days would Kabir take alone?
  18. 18.Ishaan works twice as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
  19. 19.Saanvi can finish a job in 10 days and Kabir in 30 days. Saanvi works alone for 8 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  20. 20.Aditya can finish a job in 20 days and Diya in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Pooja works three times as fast as Kabir. Together they finish a job in 11 days. How many days would Kabir take alone?
  22. 22.Pooja can finish a job in 18 days and Manav in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Priya can finish a job in 11 days and Karan in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Dev can finish a job in 18 days and Ishaan in 27 days. Dev works alone for 14 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  25. 25.Vivaan and Pooja together finish a job in 5 days. Vivaan alone takes 6 days. How many days would Pooja take alone?
  26. 26.Aarav and Ananya together finish a job in 4 days. Aarav alone takes 5 days. How many days would Ananya take alone?
  27. 27.Priya works twice as fast as Dev. Together they finish a job in 9 days. How many days would Dev take alone?
  28. 28.Aarav works three times as fast as Vivaan. Together they finish a job in 10 days. How many days would Vivaan take alone?
  29. 29.Ishaan can finish a job in 14 days and Vivaan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Karan and Rahul together finish a job in 10 days. Karan alone takes 30 days. How many days would Rahul take alone?
  31. 31.Kabir can finish a job in 2 days and Nisha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Aditya can finish a job in 10 days and Aarav in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  33. 33.Vivaan can finish a job in 15 days and Farhan in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  34. 34.Arjun works twice as fast as Tara. Together they finish a job in 2 days. How many days would Tara take alone?
  35. 35.Sneha can finish a job in 8 days and Aditya in 16 days. Sneha works alone for 4 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  36. 36.Diya can finish a job in 21 days and Kavya in 30 days. Diya works alone for 14 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  37. 37.Meera works twice as fast as Sneha. Together they finish a job in 8 days. How many days would Sneha take alone?
  38. 38.Farhan can finish a job in 20 days and Rohan in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  39. 39.Aditya works twice as fast as Karan. Together they finish a job in 9 days. How many days would Karan take alone?
  40. 40.Vivaan and Ananya together finish a job in 4 days. Vivaan alone takes 20 days. How many days would Ananya take alone?

Answer key

  1. 11/28
  2. 4
  3. 84/187
  4. 44
  5. 12
  6. 19/60
  7. 13/36
  8. 36/11
  9. 5
  10. 18
  11. 20/3
  12. 9
  13. 42/17
  14. 14/15
  15. 26/133
  16. 12
  17. 6
  18. 12
  19. 6
  20. 27/140
  21. 44
  22. 36/11
  23. 31/220
  24. 6
  25. 30
  26. 20
  27. 27
  28. 40
  29. 42/17
  30. 15
  31. 10/7
  32. 39/80
  33. 4/15
  34. 6
  35. 8
  36. 10
  37. 24
  38. 7/60
  39. 27
  40. 5

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