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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 406 · 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.Isha can finish a job in 18 days and Kavya in 6 days. Isha works alone for 15 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  2. 2.Vivaan can finish a job in 2 days and Zoya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Kabir can finish a job in 9 days and Dev in 6 days. Kabir works alone for 3 days and then stops. Dev finishes the rest. How many days does Dev take?
  4. 4.Isha and Zoya together finish a job in 2 days. Isha alone takes 4 days. How many days would Zoya take alone?
  5. 5.Farhan can finish a job in 14 days and Ishaan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Ananya can finish a job in 2 days and Sneha in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Kavya can finish a job in 9 days and Sneha in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Priya can finish a job in 5 days and Zoya in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Tara can finish a job in 3 days and Kabir in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Karan can finish a job in 15 days and Farhan in 6 days. Karan works alone for 5 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  11. 11.Aarav can finish a job in 10 days and Kavya in 5 days. Aarav works alone for 8 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  12. 12.Sneha can finish a job in 26 days and Farhan in 20 days. Sneha works alone for 13 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  13. 13.Saanvi works twice as fast as Arjun. Together they finish a job in 2 days. How many days would Arjun take alone?
  14. 14.Ananya can finish a job in 2 days and Rahul in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Nisha can finish a job in 4 days and Kabir in 24 days. Nisha works alone for 3 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  16. 16.Kavya works twice as fast as Saanvi. Together they finish a job in 5 days. How many days would Saanvi take alone?
  17. 17.Ananya can finish a job in 11 days and Meera in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Nisha works twice as fast as Saanvi. Together they finish a job in 5 days. How many days would Saanvi take alone?
  19. 19.Isha works twice as fast as Manav. Together they finish a job in 11 days. How many days would Manav take alone?
  20. 20.Rahul can finish a job in 13 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. =
  21. 21.Rohan can finish a job in 14 days and Nisha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Meera can finish a job in 18 days and Vivaan in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  23. 23.Diya can finish a job in 6 days and Dev in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Meera can finish a job in 7 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. =
  25. 25.Vivaan and Arjun together finish a job in 8 days. Vivaan alone takes 9 days. How many days would Arjun take alone?
  26. 26.Kabir and Vivaan together finish a job in 8 days. Kabir alone takes 16 days. How many days would Vivaan take alone?
  27. 27.Diya can finish a job in 10 days and Aarav in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Priya can finish a job in 20 days and Karan in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  29. 29.Kabir and Meera together finish a job in 8 days. Kabir alone takes 16 days. How many days would Meera take alone?
  30. 30.Vivaan and Ananya together finish a job in 5 days. Vivaan alone takes 6 days. How many days would Ananya take alone?
  31. 31.Meera and Aarav together finish a job in 8 days. Meera alone takes 16 days. How many days would Aarav take alone?
  32. 32.Tara can finish a job in 3 days and Meera in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Rohan and Manav together finish a job in 2 days. Rohan alone takes 6 days. How many days would Manav take alone?
  34. 34.Vivaan can finish a job in 10 days and Tara in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  35. 35.Pooja works three times as fast as Kabir. Together they finish a job in 9 days. How many days would Kabir take alone?
  36. 36.Arjun can finish a job in 12 days and Tara in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Rahul can finish a job in 20 days and Priya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Sneha can finish a job in 12 days and Dev in 6 days. Sneha works alone for 8 days and then stops. Dev finishes the rest. How many days does Dev take?
  39. 39.Diya works twice as fast as Meera. Together they finish a job in 8 days. How many days would Meera take alone?
  40. 40.Vivaan can finish a job in 9 days and Ananya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 1
  2. 6/5
  3. 4
  4. 4
  5. 182/27
  6. 8/5
  7. 36/7
  8. 23/45
  9. 6/5
  10. 4
  11. 1
  12. 10
  13. 6
  14. 22/13
  15. 6
  16. 15
  17. 26/165
  18. 15
  19. 33
  20. 156/25
  21. 70/19
  22. 13/24
  23. 5/6
  24. 35/12
  25. 72
  26. 16
  27. 130/23
  28. 9/40
  29. 16
  30. 30
  31. 16
  32. 48/19
  33. 3
  34. 13/40
  35. 36
  36. 5/36
  37. 180/19
  38. 2
  39. 24
  40. 18/11

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