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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 389 · 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 works three times as fast as Zoya. Together they finish a job in 3 days. How many days would Zoya take alone?
  2. 2.Manav can finish a job in 7 days and Ishaan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Sneha and Meera together finish a job in 3 days. Sneha alone takes 6 days. How many days would Meera take alone?
  4. 4.Tara can finish a job in 11 days and Ananya in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  5. 5.Priya works twice as fast as Meera. Together they finish a job in 7 days. How many days would Meera take alone?
  6. 6.Diya can finish a job in 5 days and Isha in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  7. 7.Meera and Ananya together finish a job in 3 days. Meera alone takes 6 days. How many days would Ananya take alone?
  8. 8.Rohan and Nisha together finish a job in 15 days. Rohan alone takes 24 days. How many days would Nisha take alone?
  9. 9.Rahul works three times as fast as Ananya. Together they finish a job in 8 days. How many days would Ananya take alone?
  10. 10.Farhan and Tara together finish a job in 9 days. Farhan alone takes 10 days. How many days would Tara take alone?
  11. 11.Pooja can finish a job in 17 days and Dev in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Diya can finish a job in 18 days and Manav in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Rohan can finish a job in 6 days and Priya in 12 days. Rohan works alone for 2 days and then stops. Priya finishes the rest. How many days does Priya take?
  14. 14.Tara can finish a job in 13 days and Ishaan in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  15. 15.Arjun can finish a job in 6 days and Tara in 4 days. Arjun works alone for 3 days and then stops. Tara finishes the rest. How many days does Tara take?
  16. 16.Meera and Karan together finish a job in 3 days. Meera alone takes 6 days. How many days would Karan take alone?
  17. 17.Vivaan can finish a job in 6 days and Meera in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Karan and Diya together finish a job in 2 days. Karan alone takes 3 days. How many days would Diya take alone?
  19. 19.Rahul can finish a job in 4 days and Rohan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Zoya can finish a job in 9 days and Meera in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Rohan can finish a job in 8 days and Kabir in 16 days. Rohan works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  22. 22.Manav can finish a job in 12 days and Tara in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Diya works twice as fast as Kavya. Together they finish a job in 6 days. How many days would Kavya take alone?
  24. 24.Isha can finish a job in 16 days and Dev in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  25. 25.Meera can finish a job in 11 days and Priya in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Priya can finish a job in 18 days and Kavya in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  27. 27.Zoya works twice as fast as Arjun. Together they finish a job in 8 days. How many days would Arjun take alone?
  28. 28.Aditya can finish a job in 6 days and Manav in 21 days. Aditya works alone for 4 days and then stops. Manav finishes the rest. How many days does Manav take?
  29. 29.Rohan 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. =
  30. 30.Diya can finish a job in 21 days and Kavya in 12 days. Diya works alone for 14 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  31. 31.Ishaan works twice as fast as Farhan. Together they finish a job in 3 days. How many days would Farhan take alone?
  32. 32.Kabir can finish a job in 5 days and Sneha in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Priya works three times as fast as Aarav. Together they finish a job in 11 days. How many days would Aarav take alone?
  34. 34.Zoya and Dev together finish a job in 2 days. Zoya alone takes 3 days. How many days would Dev take alone?
  35. 35.Kabir can finish a job in 8 days and Zoya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Zoya and Vivaan together finish a job in 6 days. Zoya alone takes 10 days. How many days would Vivaan take alone?
  37. 37.Kabir can finish a job in 19 days and Manav in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Kabir can finish a job in 5 days and Kavya in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  39. 39.Saanvi and Ananya together finish a job in 2 days. Saanvi alone takes 3 days. How many days would Ananya take alone?
  40. 40.Vivaan works three times as fast as Farhan. Together they finish a job in 10 days. How many days would Farhan take alone?

Answer key

  1. 12
  2. 77/18
  3. 6
  4. 36/77
  5. 21
  6. 13/20
  7. 6
  8. 40
  9. 32
  10. 90
  11. 221/30
  12. 63/8
  13. 8
  14. 56/195
  15. 2
  16. 6
  17. 24/7
  18. 6
  19. 12/5
  20. 26/153
  21. 12
  22. 204/29
  23. 18
  24. 15/56
  25. 81/176
  26. 37/114
  27. 24
  28. 7
  29. 21/5
  30. 4
  31. 9
  32. 1/4
  33. 44
  34. 6
  35. 24/7
  36. 15
  37. 69/76
  38. 13/40
  39. 6
  40. 40

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