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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 236 · 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.Ananya can finish a job in 15 days and Sneha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Karan can finish a job in 5 days and Tara in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Ananya can finish a job in 15 days and Nisha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Aarav works three times as fast as Sneha. Together they finish a job in 9 days. How many days would Sneha take alone?
  5. 5.Farhan can finish a job in 16 days and Pooja in 30 days. Farhan works alone for 8 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  6. 6.Kabir works twice as fast as Zoya. Together they finish a job in 10 days. How many days would Zoya take alone?
  7. 7.Aditya can finish a job in 20 days and Rahul in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  8. 8.Diya works twice as fast as Kabir. Together they finish a job in 3 days. How many days would Kabir take alone?
  9. 9.Isha can finish a job in 10 days and Rahul in 18 days. Isha works alone for 5 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  10. 10.Saanvi and Farhan together finish a job in 3 days. Saanvi alone takes 4 days. How many days would Farhan take alone?
  11. 11.Aditya and Diya together finish a job in 5 days. Aditya alone takes 10 days. How many days would Diya take alone?
  12. 12.Arjun works three times as fast as Rahul. Together they finish a job in 3 days. How many days would Rahul take alone?
  13. 13.Ananya works twice as fast as Arjun. Together they finish a job in 5 days. How many days would Arjun take alone?
  14. 14.Kabir and Farhan together finish a job in 5 days. Kabir alone takes 6 days. How many days would Farhan take alone?
  15. 15.Ananya can finish a job in 16 days and Diya in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Aarav can finish a job in 10 days and Saanvi in 6 days. Aarav works alone for 5 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  17. 17.Zoya works three times as fast as Aditya. Together they finish a job in 2 days. How many days would Aditya take alone?
  18. 18.Karan can finish a job in 5 days and Diya in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Diya works three times as fast as Saanvi. Together they finish a job in 3 days. How many days would Saanvi take alone?
  20. 20.Pooja can finish a job in 16 days and Karan in 28 days. Pooja works alone for 8 days and then stops. Karan finishes the rest. How many days does Karan take?
  21. 21.Aditya can finish a job in 19 days and Farhan in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  22. 22.Priya can finish a job in 28 days and Zoya in 14 days. Priya works alone for 14 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  23. 23.Isha can finish a job in 14 days and Pooja in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Zoya and Ananya together finish a job in 3 days. Zoya alone takes 4 days. How many days would Ananya take alone?
  25. 25.Isha and Meera together finish a job in 2 days. Isha alone takes 4 days. How many days would Meera take alone?
  26. 26.Rohan can finish a job in 4 days and Vivaan in 8 days. Rohan works alone for 3 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  27. 27.Meera can finish a job in 6 days and Karan in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  28. 28.Aditya works twice as fast as Tara. Together they finish a job in 11 days. How many days would Tara take alone?
  29. 29.Rahul works three times as fast as Kavya. Together they finish a job in 2 days. How many days would Kavya take alone?
  30. 30.Sneha can finish a job in 7 days and Tara in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Meera can finish a job in 21 days and Priya in 18 days. Meera works alone for 7 days and then stops. Priya finishes the rest. How many days does Priya take?
  32. 32.Nisha can finish a job in 8 days and Isha in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  33. 33.Rohan and Karan together finish a job in 5 days. Rohan alone takes 6 days. How many days would Karan take alone?
  34. 34.Manav can finish a job in 17 days and Meera in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Aarav can finish a job in 18 days and Vivaan in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  36. 36.Pooja can finish a job in 15 days and Rohan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Ishaan can finish a job in 13 days and Isha in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Diya can finish a job in 11 days and Aditya in 22 days. Diya works alone for 6 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  39. 39.Farhan works three times as fast as Diya. Together they finish a job in 3 days. How many days would Diya take alone?
  40. 40.Kavya works twice as fast as Tara. Together they finish a job in 4 days. How many days would Tara take alone?

Answer key

  1. 255/32
  2. 30/11
  3. 255/32
  4. 36
  5. 15
  6. 30
  7. 7/30
  8. 9
  9. 9
  10. 12
  11. 10
  12. 12
  13. 15
  14. 30
  15. 7/16
  16. 3
  17. 8
  18. 13/20
  19. 12
  20. 14
  21. 87/190
  22. 7
  23. 11/56
  24. 12
  25. 4
  26. 2
  27. 7/8
  28. 33
  29. 8
  30. 105/22
  31. 12
  32. 11/28
  33. 30
  34. 85/22
  35. 7/15
  36. 5/2
  37. 54/65
  38. 10
  39. 12
  40. 12

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