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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 222 · 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.Karan and Ishaan together finish a job in 2 days. Karan alone takes 6 days. How many days would Ishaan take alone?
  2. 2.Diya can finish a job in 25 days and Kabir in 15 days. Diya works alone for 15 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  3. 3.Diya can finish a job in 4 days and Arjun in 24 days. Diya works alone for 1 day and then stops. Arjun finishes the rest. How many days does Arjun take?
  4. 4.Manav can finish a job in 7 days and Ananya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Saanvi can finish a job in 4 days and Vivaan in 16 days. Saanvi works alone for 1 day and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  6. 6.Karan and Ananya together finish a job in 5 days. Karan alone takes 6 days. How many days would Ananya take alone?
  7. 7.Farhan and Kabir together finish a job in 6 days. Farhan alone takes 10 days. How many days would Kabir take alone?
  8. 8.Diya and Meera together finish a job in 2 days. Diya alone takes 4 days. How many days would Meera take alone?
  9. 9.Farhan works three times as fast as Diya. Together they finish a job in 9 days. How many days would Diya take alone?
  10. 10.Farhan can finish a job in 5 days and Tara in 10 days. Farhan works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
  11. 11.Rohan works twice as fast as Ananya. Together they finish a job in 12 days. How many days would Ananya take alone?
  12. 12.Arjun can finish a job in 4 days and Saanvi in 24 days. Arjun works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  13. 13.Tara can finish a job in 14 days and Diya in 4 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 7 days and Rahul in 14 days. Isha works alone for 1 day and then stops. Rahul finishes the rest. How many days does Rahul take?
  15. 15.Karan and Isha together finish a job in 15 days. Karan alone takes 24 days. How many days would Isha take alone?
  16. 16.Zoya and Arjun together finish a job in 3 days. Zoya alone takes 4 days. How many days would Arjun take alone?
  17. 17.Tara can finish a job in 12 days and Sneha in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  18. 18.Diya works three times as fast as Zoya. Together they finish a job in 4 days. How many days would Zoya take alone?
  19. 19.Ishaan can finish a job in 24 days and Aditya in 12 days. Ishaan works alone for 16 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  20. 20.Aarav and Zoya together finish a job in 2 days. Aarav alone takes 4 days. How many days would Zoya take alone?
  21. 21.Manav works twice as fast as Farhan. Together they finish a job in 10 days. How many days would Farhan take alone?
  22. 22.Rohan can finish a job in 6 days and Ananya in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Pooja can finish a job in 10 days and Dev in 16 days. Pooja works alone for 5 days and then stops. Dev finishes the rest. How many days does Dev take?
  24. 24.Kavya can finish a job in 19 days and Rohan in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Rahul can finish a job in 10 days and Arjun in 26 days. Rahul works alone for 5 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  26. 26.Pooja works twice as fast as Isha. Together they finish a job in 5 days. How many days would Isha take alone?
  27. 27.Saanvi can finish a job in 8 days and Farhan in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  28. 28.Meera works three times as fast as Arjun. Together they finish a job in 5 days. How many days would Arjun take alone?
  29. 29.Ishaan and Kabir together finish a job in 2 days. Ishaan alone takes 6 days. How many days would Kabir take alone?
  30. 30.Diya works twice as fast as Isha. Together they finish a job in 9 days. How many days would Isha take alone?
  31. 31.Rohan and Saanvi together finish a job in 2 days. Rohan alone takes 4 days. How many days would Saanvi take alone?
  32. 32.Vivaan can finish a job in 17 days and Ishaan in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  33. 33.Aarav can finish a job in 7 days and Diya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Tara works twice as fast as Arjun. Together they finish a job in 10 days. How many days would Arjun take alone?
  35. 35.Manav works twice as fast as Rahul. Together they finish a job in 11 days. How many days would Rahul take alone?
  36. 36.Rahul can finish a job in 13 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. =
  37. 37.Nisha can finish a job in 12 days and Rohan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Ishaan works twice as fast as Arjun. Together they finish a job in 8 days. How many days would Arjun take alone?
  39. 39.Zoya can finish a job in 19 days and Aditya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Aarav can finish a job in 13 days and Ananya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 3
  2. 6
  3. 18
  4. 112/23
  5. 12
  6. 30
  7. 15
  8. 4
  9. 36
  10. 8
  11. 36
  12. 18
  13. 28/9
  14. 12
  15. 40
  16. 12
  17. 31/114
  18. 16
  19. 4
  20. 4
  21. 30
  22. 19/78
  23. 8
  24. 31/228
  25. 13
  26. 15
  27. 17/36
  28. 20
  29. 3
  30. 27
  31. 4
  32. 81/170
  33. 70/17
  34. 30
  35. 33
  36. 143/24
  37. 36/7
  38. 24
  39. 342/37
  40. 65/18

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