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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 211 · 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.Kabir can finish a job in 2 days and Rahul in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Kavya and Manav together finish a job in 9 days. Kavya alone takes 10 days. How many days would Manav take alone?
  3. 3.Vivaan can finish a job in 11 days and Diya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Zoya and Meera together finish a job in 20 days. Zoya alone takes 30 days. How many days would Meera take alone?
  5. 5.Pooja can finish a job in 18 days and Nisha in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  6. 6.Tara works twice as fast as Manav. Together they finish a job in 6 days. How many days would Manav take alone?
  7. 7.Dev and Ananya together finish a job in 2 days. Dev alone takes 3 days. How many days would Ananya take alone?
  8. 8.Tara works twice as fast as Priya. Together they finish a job in 5 days. How many days would Priya take alone?
  9. 9.Karan and Saanvi together finish a job in 8 days. Karan alone takes 9 days. How many days would Saanvi take alone?
  10. 10.Diya can finish a job in 18 days and Isha in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Ananya works three times as fast as Arjun. Together they finish a job in 2 days. How many days would Arjun take alone?
  12. 12.Saanvi can finish a job in 19 days and Vivaan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Zoya can finish a job in 3 days and Kabir in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Manav can finish a job in 19 days and Rahul in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Dev can finish a job in 19 days and Ishaan in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Nisha can finish a job in 4 days and Priya in 16 days. Nisha works alone for 3 days and then stops. Priya finishes the rest. How many days does Priya take?
  17. 17.Aditya can finish a job in 15 days and Manav in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Aarav can finish a job in 20 days and Manav in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Farhan can finish a job in 30 days and Saanvi in 16 days. Farhan works alone for 15 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  20. 20.Nisha can finish a job in 14 days and Tara in 7 days. Nisha works alone for 10 days and then stops. Tara finishes the rest. How many days does Tara take?
  21. 21.Karan and Nisha together finish a job in 9 days. Karan alone takes 10 days. How many days would Nisha take alone?
  22. 22.Vivaan works twice as fast as Arjun. Together they finish a job in 4 days. How many days would Arjun take alone?
  23. 23.Saanvi can finish a job in 11 days and Priya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Tara can finish a job in 28 days and Kabir in 7 days. Tara works alone for 12 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  25. 25.Tara can finish a job in 15 days and Rahul in 5 days. Tara works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  26. 26.Meera and Ishaan together finish a job in 11 days. Meera alone takes 22 days. How many days would Ishaan take alone?
  27. 27.Ananya can finish a job in 9 days and Meera in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  28. 28.Farhan can finish a job in 11 days and Karan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Sneha works twice as fast as Rohan. Together they finish a job in 2 days. How many days would Rohan take alone?
  30. 30.Meera can finish a job in 5 days and Arjun in 10 days. Meera works alone for 1 day and then stops. Arjun finishes the rest. How many days does Arjun take?
  31. 31.Rahul can finish a job in 8 days and Nisha in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Diya can finish a job in 19 days and Ananya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Meera and Isha together finish a job in 12 days. Meera alone takes 20 days. How many days would Isha take alone?
  34. 34.Priya can finish a job in 13 days and Dev in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  35. 35.Vivaan can finish a job in 18 days and Diya in 9 days. Vivaan works alone for 12 days and then stops. Diya finishes the rest. How many days does Diya take?
  36. 36.Dev can finish a job in 4 days and Ishaan in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Karan and Aditya together finish a job in 2 days. Karan alone takes 3 days. How many days would Aditya take alone?
  38. 38.Zoya can finish a job in 24 days and Manav in 27 days. Zoya works alone for 16 days and then stops. Manav finishes the rest. How many days does Manav take?
  39. 39.Zoya and Arjun together finish a job in 6 days. Zoya alone takes 9 days. How many days would Arjun take alone?
  40. 40.Rahul can finish a job in 10 days and Zoya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 38/21
  2. 90
  3. 99/20
  4. 60
  5. 2/3
  6. 18
  7. 6
  8. 15
  9. 72
  10. 11/12
  11. 8
  12. 304/35
  13. 12/7
  14. 38/21
  15. 34/285
  16. 4
  17. 195/28
  18. 60/7
  19. 8
  20. 2
  21. 90
  22. 12
  23. 22/13
  24. 4
  25. 4
  26. 22
  27. 5/18
  28. 77/18
  29. 6
  30. 8
  31. 104/21
  32. 209/30
  33. 30
  34. 36/65
  35. 3
  36. 11/28
  37. 6
  38. 9
  39. 18
  40. 70/17

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