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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 376 · 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 17 days and Nisha in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Arjun can finish a job in 8 days and Saanvi in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  3. 3.Arjun can finish a job in 9 days and Aarav in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  4. 4.Rohan can finish a job in 17 days and Meera in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Ananya can finish a job in 3 days and Farhan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Arjun works three times as fast as Kabir. Together they finish a job in 8 days. How many days would Kabir take alone?
  7. 7.Farhan and Isha together finish a job in 2 days. Farhan alone takes 4 days. How many days would Isha take alone?
  8. 8.Zoya can finish a job in 20 days and Sneha in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Saanvi can finish a job in 13 days and Zoya in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Kabir works three times as fast as Dev. Together they finish a job in 9 days. How many days would Dev take alone?
  11. 11.Meera can finish a job in 18 days and Pooja in 9 days. Meera works alone for 8 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  12. 12.Farhan works twice as fast as Aarav. Together they finish a job in 6 days. How many days would Aarav take alone?
  13. 13.Aarav and Rohan together finish a job in 4 days. Aarav alone takes 5 days. How many days would Rohan take alone?
  14. 14.Karan and Rohan together finish a job in 2 days. Karan alone takes 4 days. How many days would Rohan take alone?
  15. 15.Manav can finish a job in 4 days and Ananya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Kavya can finish a job in 19 days and Aditya in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  17. 17.Aarav works twice as fast as Meera. Together they finish a job in 12 days. How many days would Meera take alone?
  18. 18.Ishaan and Diya together finish a job in 8 days. Ishaan alone takes 16 days. How many days would Diya take alone?
  19. 19.Diya works twice as fast as Rahul. Together they finish a job in 12 days. How many days would Rahul take alone?
  20. 20.Kavya can finish a job in 26 days and Sneha in 22 days. Kavya works alone for 13 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  21. 21.Karan can finish a job in 18 days and Ishaan in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  22. 22.Diya can finish a job in 7 days and Vivaan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Aarav can finish a job in 5 days and Kavya in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Manav can finish a job in 30 days and Priya in 20 days. Manav works alone for 9 days and then stops. Priya finishes the rest. How many days does Priya take?
  25. 25.Kavya and Rohan together finish a job in 3 days. Kavya alone takes 6 days. How many days would Rohan take alone?
  26. 26.Sneha works three times as fast as Rahul. Together they finish a job in 8 days. How many days would Rahul take alone?
  27. 27.Aarav works three times as fast as Meera. Together they finish a job in 8 days. How many days would Meera take alone?
  28. 28.Isha can finish a job in 4 days and Saanvi in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  29. 29.Sneha can finish a job in 9 days and Aditya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Tara works twice as fast as Karan. Together they finish a job in 10 days. How many days would Karan take alone?
  31. 31.Vivaan can finish a job in 13 days and Karan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Tara and Kavya together finish a job in 4 days. Tara alone takes 5 days. How many days would Kavya take alone?
  33. 33.Saanvi and Pooja together finish a job in 7 days. Saanvi alone takes 14 days. How many days would Pooja take alone?
  34. 34.Sneha can finish a job in 2 days and Nisha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Arjun can finish a job in 12 days and Aarav in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Arjun can finish a job in 12 days and Ishaan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Pooja and Diya together finish a job in 10 days. Pooja alone takes 20 days. How many days would Diya take alone?
  38. 38.Tara can finish a job in 7 days and Manav in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  39. 39.Nisha and Dev together finish a job in 4 days. Nisha alone takes 8 days. How many days would Dev take alone?
  40. 40.Pooja can finish a job in 2 days and Saanvi in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 170/27
  2. 11/28
  3. 52/153
  4. 68/21
  5. 2
  6. 32
  7. 4
  8. 260/33
  9. 33/130
  10. 36
  11. 5
  12. 18
  13. 20
  14. 4
  15. 28/11
  16. 24/95
  17. 36
  18. 16
  19. 36
  20. 11
  21. 11/12
  22. 70/17
  23. 48/95
  24. 14
  25. 6
  26. 32
  27. 32
  28. 69/76
  29. 36/7
  30. 30
  31. 39/16
  32. 20
  33. 14
  34. 22/13
  35. 31/114
  36. 60/17
  37. 20
  38. 78/133
  39. 8
  40. 26/15

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