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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 224 · 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.Sneha works twice as fast as Ishaan. Together they finish a job in 11 days. How many days would Ishaan take alone?
  2. 2.Sneha can finish a job in 6 days and Manav in 14 days. Sneha works alone for 3 days and then stops. Manav finishes the rest. How many days does Manav take?
  3. 3.Meera works twice as fast as Diya. Together they finish a job in 7 days. How many days would Diya take alone?
  4. 4.Ishaan can finish a job in 6 days and Aditya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Zoya can finish a job in 19 days and Kabir in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Rahul and Saanvi together finish a job in 6 days. Rahul alone takes 10 days. How many days would Saanvi take alone?
  7. 7.Pooja works three times as fast as Isha. Together they finish a job in 11 days. How many days would Isha take alone?
  8. 8.Pooja can finish a job in 9 days and Manav in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Manav can finish a job in 10 days and Arjun in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Sneha can finish a job in 5 days and Ananya in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  11. 11.Rohan can finish a job in 20 days and Kabir in 10 days. Rohan works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  12. 12.Kavya can finish a job in 9 days and Zoya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Diya can finish a job in 16 days and Karan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Meera can finish a job in 4 days and Nisha in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Farhan can finish a job in 14 days and Pooja in 20 days. Farhan works alone for 7 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  16. 16.Diya works twice as fast as Nisha. Together they finish a job in 11 days. How many days would Nisha take alone?
  17. 17.Priya works three times as fast as Rohan. Together they finish a job in 6 days. How many days would Rohan take alone?
  18. 18.Kabir works twice as fast as Farhan. Together they finish a job in 6 days. How many days would Farhan take alone?
  19. 19.Tara can finish a job in 11 days and Vivaan in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Ananya can finish a job in 17 days and Sneha in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Zoya can finish a job in 14 days and Pooja in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Diya works three times as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  23. 23.Rohan and Aditya together finish a job in 8 days. Rohan alone takes 10 days. How many days would Aditya take alone?
  24. 24.Manav can finish a job in 4 days and Zoya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Rohan can finish a job in 3 days and Meera in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Sneha can finish a job in 8 days and Diya in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  27. 27.Pooja and Saanvi together finish a job in 3 days. Pooja alone takes 4 days. How many days would Saanvi take alone?
  28. 28.Meera can finish a job in 19 days and Dev in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Arjun and Rahul together finish a job in 2 days. Arjun alone takes 4 days. How many days would Rahul take alone?
  30. 30.Tara can finish a job in 4 days and Meera in 8 days. Tara works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  31. 31.Nisha can finish a job in 9 days and Ananya in 6 days. Nisha works alone for 3 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  32. 32.Manav can finish a job in 14 days and Ishaan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Meera can finish a job in 6 days and Aarav in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Nisha can finish a job in 10 days and Farhan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Dev can finish a job in 8 days and Aditya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Zoya works twice as fast as Aditya. Together they finish a job in 8 days. How many days would Aditya take alone?
  37. 37.Karan can finish a job in 12 days and Rahul in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Diya can finish a job in 9 days and Pooja in 27 days. Diya works alone for 1 day and then stops. Pooja finishes the rest. How many days does Pooja take?
  39. 39.Rahul and Aarav together finish a job in 5 days. Rahul alone takes 6 days. How many days would Aarav take alone?
  40. 40.Vivaan can finish a job in 15 days and Priya in 18 days. Vivaan works alone for 5 days and then stops. Priya finishes the rest. How many days does Priya take?

Answer key

  1. 33
  2. 7
  3. 21
  4. 48/11
  5. 152/27
  6. 15
  7. 44
  8. 72/17
  9. 21/55
  10. 28/45
  11. 9
  12. 36/7
  13. 16/5
  14. 1/3
  15. 10
  16. 33
  17. 24
  18. 18
  19. 21/110
  20. 66/85
  21. 154/25
  22. 16
  23. 40
  24. 20/9
  25. 60/23
  26. 9/40
  27. 12
  28. 38/21
  29. 4
  30. 2
  31. 4
  32. 210/29
  33. 66/17
  34. 20/3
  35. 8/5
  36. 24
  37. 20/3
  38. 24
  39. 30
  40. 12

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