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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 193 · 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.Rahul can finish a job in 25 days and Rohan in 20 days. Rahul works alone for 5 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  2. 2.Karan can finish a job in 24 days and Ananya in 4 days. Karan works alone for 12 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  3. 3.Aditya can finish a job in 4 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. =
  4. 4.Saanvi can finish a job in 9 days and Ishaan in 6 days. Saanvi works alone for 6 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  5. 5.Aditya can finish a job in 28 days and Nisha in 7 days. Aditya works alone for 16 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  6. 6.Tara can finish a job in 9 days and Arjun in 18 days. Tara works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  7. 7.Rahul can finish a job in 16 days and Pooja in 24 days. Rahul works alone for 2 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  8. 8.Priya can finish a job in 13 days and Sneha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Nisha can finish a job in 12 days and Manav in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Arjun can finish a job in 9 days and Aarav in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Tara can finish a job in 16 days and Kabir in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Sneha and Manav together finish a job in 8 days. Sneha alone takes 16 days. How many days would Manav take alone?
  13. 13.Farhan and Meera together finish a job in 5 days. Farhan alone takes 30 days. How many days would Meera take alone?
  14. 14.Farhan can finish a job in 9 days and Aarav in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  15. 15.Arjun and Sneha together finish a job in 5 days. Arjun alone takes 10 days. How many days would Sneha take alone?
  16. 16.Kabir and Arjun together finish a job in 2 days. Kabir alone takes 3 days. How many days would Arjun take alone?
  17. 17.Aarav can finish a job in 12 days and Manav in 24 days. Aarav works alone for 11 days and then stops. Manav finishes the rest. How many days does Manav take?
  18. 18.Tara can finish a job in 13 days and Aarav in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Ananya can finish a job in 4 days and Saanvi in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  20. 20.Aarav can finish a job in 6 days and Aditya in 15 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 12 days and Kavya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Kabir can finish a job in 4 days and Saanvi in 22 days. Kabir works alone for 2 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  23. 23.Zoya can finish a job in 5 days and Karan in 10 days. Zoya works alone for 1 day and then stops. Karan finishes the rest. How many days does Karan take?
  24. 24.Karan works three times as fast as Rohan. Together they finish a job in 3 days. How many days would Rohan take alone?
  25. 25.Saanvi and Arjun together finish a job in 7 days. Saanvi alone takes 14 days. How many days would Arjun take alone?
  26. 26.Pooja works twice as fast as Zoya. Together they finish a job in 3 days. How many days would Zoya take alone?
  27. 27.Karan can finish a job in 3 days and Arjun in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Aarav can finish a job in 6 days and Kavya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Isha can finish a job in 8 days and Manav in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  30. 30.Farhan can finish a job in 4 days and Vivaan in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Rahul can finish a job in 11 days and Saanvi in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Arjun and Rohan together finish a job in 5 days. Arjun alone takes 10 days. How many days would Rohan take alone?
  33. 33.Arjun can finish a job in 16 days and Isha in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Dev can finish a job in 19 days and Kavya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Farhan can finish a job in 13 days and Diya in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Saanvi can finish a job in 4 days and Nisha in 12 days. Saanvi works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  37. 37.Arjun and Pooja together finish a job in 3 days. Arjun alone takes 6 days. How many days would Pooja take alone?
  38. 38.Dev can finish a job in 16 days and Kavya in 24 days. Dev works alone for 6 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  39. 39.Tara can finish a job in 10 days and Meera in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Priya works twice as fast as Kavya. Together they finish a job in 6 days. How many days would Kavya take alone?

Answer key

  1. 16
  2. 2
  3. 4/3
  4. 2
  5. 3
  6. 10
  7. 21
  8. 143/24
  9. 15/2
  10. 14/15
  11. 80/9
  12. 16
  13. 6
  14. 28/57
  15. 10
  16. 6
  17. 2
  18. 104/21
  19. 9/10
  20. 30/7
  21. 132/23
  22. 11
  23. 8
  24. 12
  25. 14
  26. 9
  27. 30/13
  28. 30/7
  29. 13/72
  30. 9/28
  31. 99/20
  32. 10
  33. 16/3
  34. 266/33
  35. 19/78
  36. 3
  37. 6
  38. 15
  39. 170/27
  40. 18

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