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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 273 · 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.Pooja can finish a job in 4 days and Aditya in 6 days. Pooja works alone for 2 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  2. 2.Isha works twice as fast as Karan. Together they finish a job in 7 days. How many days would Karan take alone?
  3. 3.Saanvi can finish a job in 11 days and Rahul in 22 days. Saanvi works alone for 7 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  4. 4.Dev works twice as fast as Nisha. Together they finish a job in 11 days. How many days would Nisha take alone?
  5. 5.Ishaan can finish a job in 7 days and Ananya in 14 days. Ishaan works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  6. 6.Sneha works three times as fast as Rohan. Together they finish a job in 2 days. How many days would Rohan take alone?
  7. 7.Karan can finish a job in 17 days and Meera in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  8. 8.Manav can finish a job in 3 days and Rohan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Rohan and Meera together finish a job in 6 days. Rohan alone takes 15 days. How many days would Meera take alone?
  10. 10.Rahul can finish a job in 20 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. =
  11. 11.Rohan works three times as fast as Vivaan. Together they finish a job in 8 days. How many days would Vivaan take alone?
  12. 12.Tara works three times as fast as Isha. Together they finish a job in 12 days. How many days would Isha take alone?
  13. 13.Ananya can finish a job in 11 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. =
  14. 14.Arjun can finish a job in 16 days and Kabir in 6 days. Arjun works alone for 8 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  15. 15.Isha can finish a job in 5 days and Zoya in 10 days. Isha works alone for 1 day and then stops. Zoya finishes the rest. How many days does Zoya take?
  16. 16.Priya can finish a job in 9 days and Farhan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Pooja works three times as fast as Rahul. Together they finish a job in 4 days. How many days would Rahul take alone?
  18. 18.Rahul works three times as fast as Kavya. Together they finish a job in 2 days. How many days would Kavya take alone?
  19. 19.Rahul works twice as fast as Pooja. Together they finish a job in 2 days. How many days would Pooja take alone?
  20. 20.Nisha and Kabir together finish a job in 3 days. Nisha alone takes 6 days. How many days would Kabir take alone?
  21. 21.Priya can finish a job in 19 days and Arjun in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Isha can finish a job in 7 days and Meera in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  23. 23.Kavya and Rohan together finish a job in 2 days. Kavya alone takes 4 days. How many days would Rohan take alone?
  24. 24.Nisha can finish a job in 20 days and Arjun in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Isha and Sneha together finish a job in 6 days. Isha alone takes 9 days. How many days would Sneha take alone?
  26. 26.Zoya works three times as fast as Ananya. Together they finish a job in 2 days. How many days would Ananya take alone?
  27. 27.Dev can finish a job in 9 days and Saanvi in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Saanvi can finish a job in 11 days and Diya in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  29. 29.Rohan can finish a job in 7 days and Saanvi in 14 days. Rohan works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  30. 30.Farhan can finish a job in 3 days and Ishaan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Manav works twice as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  32. 32.Farhan can finish a job in 18 days and Dev in 9 days. Farhan works alone for 6 days and then stops. Dev finishes the rest. How many days does Dev take?
  33. 33.Kavya can finish a job in 5 days and Meera in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Rahul and Pooja together finish a job in 10 days. Rahul alone takes 30 days. How many days would Pooja take alone?
  35. 35.Ishaan can finish a job in 21 days and Manav in 7 days. Ishaan works alone for 6 days and then stops. Manav finishes the rest. How many days does Manav take?
  36. 36.Aarav can finish a job in 16 days and Farhan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Tara can finish a job in 7 days and Aarav in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Rahul can finish a job in 6 days and Aarav in 24 days. Rahul works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  39. 39.Rahul works twice as fast as Pooja. Together they finish a job in 4 days. How many days would Pooja take alone?
  40. 40.Kavya can finish a job in 15 days and Meera in 19 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. 21
  3. 8
  4. 33
  5. 6
  6. 8
  7. 25/68
  8. 39/16
  9. 10
  10. 20/11
  11. 32
  12. 48
  13. 88/19
  14. 3
  15. 8
  16. 36/13
  17. 16
  18. 8
  19. 6
  20. 6
  21. 76/23
  22. 9/14
  23. 4
  24. 4
  25. 18
  26. 8
  27. 45/8
  28. 75/154
  29. 8
  30. 12/7
  31. 12
  32. 6
  33. 15/8
  34. 15
  35. 5
  36. 208/29
  37. 14/9
  38. 16
  39. 12
  40. 285/34

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