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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 425 · 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 15 days and Tara in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Nisha and Manav together finish a job in 4 days. Nisha alone takes 6 days. How many days would Manav take alone?
  3. 3.Arjun works three times as fast as Karan. Together they finish a job in 9 days. How many days would Karan take alone?
  4. 4.Pooja and Ananya together finish a job in 3 days. Pooja alone takes 6 days. How many days would Ananya take alone?
  5. 5.Tara can finish a job in 7 days and Saanvi in 28 days. Tara works alone for 6 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  6. 6.Diya works twice as fast as Rohan. Together they finish a job in 5 days. How many days would Rohan take alone?
  7. 7.Arjun can finish a job in 2 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. =
  8. 8.Arjun and Diya together finish a job in 2 days. Arjun alone takes 4 days. How many days would Diya take alone?
  9. 9.Aarav can finish a job in 19 days and Nisha in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  10. 10.Nisha can finish a job in 24 days and Karan in 22 days. Nisha works alone for 12 days and then stops. Karan finishes the rest. How many days does Karan take?
  11. 11.Karan and Kavya together finish a job in 4 days. Karan alone takes 8 days. How many days would Kavya take alone?
  12. 12.Saanvi can finish a job in 20 days and Karan in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  13. 13.Kabir can finish a job in 9 days and Arjun in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  14. 14.Vivaan can finish a job in 12 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. =
  15. 15.Arjun can finish a job in 24 days and Tara in 6 days. Arjun works alone for 20 days and then stops. Tara finishes the rest. How many days does Tara take?
  16. 16.Farhan can finish a job in 8 days and Nisha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Rohan can finish a job in 4 days and Arjun in 24 days. Rohan works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  18. 18.Karan can finish a job in 4 days and Manav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Farhan can finish a job in 7 days and Saanvi in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Aditya works three times as fast as Dev. Together they finish a job in 6 days. How many days would Dev take alone?
  21. 21.Rahul can finish a job in 16 days and Karan in 8 days. Rahul works alone for 2 days and then stops. Karan finishes the rest. How many days does Karan take?
  22. 22.Sneha and Kavya together finish a job in 4 days. Sneha alone takes 20 days. How many days would Kavya take alone?
  23. 23.Farhan can finish a job in 6 days and Priya in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Kabir can finish a job in 9 days and Arjun in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Meera can finish a job in 12 days and Farhan in 27 days. Meera works alone for 8 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  26. 26.Rahul and Nisha together finish a job in 6 days. Rahul alone takes 7 days. How many days would Nisha take alone?
  27. 27.Kabir works twice as fast as Meera. Together they finish a job in 6 days. How many days would Meera take alone?
  28. 28.Saanvi can finish a job in 10 days and Isha in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  29. 29.Aarav works three times as fast as Priya. Together they finish a job in 4 days. How many days would Priya take alone?
  30. 30.Kabir works twice as fast as Karan. Together they finish a job in 12 days. How many days would Karan take alone?
  31. 31.Farhan can finish a job in 5 days and Diya in 15 days. Farhan works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  32. 32.Nisha and Rahul together finish a job in 2 days. Nisha alone takes 3 days. How many days would Rahul take alone?
  33. 33.Vivaan can finish a job in 5 days and Rohan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Isha can finish a job in 7 days and Vivaan in 28 days. Isha works alone for 2 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  35. 35.Kavya can finish a job in 14 days and Karan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Ishaan can finish a job in 14 days and Aditya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Rahul can finish a job in 19 days and Aditya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Saanvi and Pooja together finish a job in 2 days. Saanvi alone takes 3 days. How many days would Pooja take alone?
  39. 39.Nisha can finish a job in 19 days and Meera in 12 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 19 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. =

Answer key

  1. 11/90
  2. 12
  3. 36
  4. 6
  5. 4
  6. 15
  7. 6/5
  8. 4
  9. 105/304
  10. 11
  11. 8
  12. 21/40
  13. 25/72
  14. 228/31
  15. 1
  16. 24/11
  17. 6
  18. 12/5
  19. 16/63
  20. 24
  21. 7
  22. 5
  23. 7/15
  24. 29/180
  25. 9
  26. 42
  27. 18
  28. 14/45
  29. 16
  30. 36
  31. 9
  32. 6
  33. 20/9
  34. 20
  35. 7/4
  36. 238/31
  37. 342/37
  38. 6
  39. 228/31
  40. 57/22

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