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Time and Work Worksheet

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

Answer key

  1. 10/7
  2. 84/187
  3. 25
  4. 29/99
  5. 13/20
  6. 5/2
  7. 36
  8. 48
  9. 16/63
  10. 40
  11. 342/37
  12. 6
  13. 32
  14. 39/190
  15. 3
  16. 91/20
  17. 63/80
  18. 12
  19. 10
  20. 272/33
  21. 11/90
  22. 77/18
  23. 20
  24. 8/15
  25. 8/45
  26. 2
  27. 17/35
  28. 5
  29. 18
  30. 36/65
  31. 17/26
  32. 15
  33. 6
  34. 40
  35. 24
  36. 90/221
  37. 24
  38. 6
  39. 304/35
  40. 6

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