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Time and Work Worksheet

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

Answer key

  1. 24/11
  2. 15/28
  3. 7/24
  4. 12
  5. 12
  6. 85/22
  7. 72
  8. 12
  9. 12
  10. 20
  11. 6
  12. 2/5
  13. 25/144
  14. 30/11
  15. 144/25
  16. 6
  17. 12
  18. 24
  19. 6
  20. 56
  21. 72/13
  22. 6
  23. 12
  24. 14
  25. 2/3
  26. 19/78
  27. 15/8
  28. 8
  29. 24
  30. 24
  31. 22
  32. 144/25
  33. 4
  34. 90
  35. 126/25
  36. 81/140
  37. 17/60
  38. 24
  39. 25/72
  40. 35/102

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