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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 276 · 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.Priya can finish a job in 15 days and Rohan in 10 days. Priya works alone for 9 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  2. 2.Ishaan and Rahul together finish a job in 4 days. Ishaan alone takes 12 days. How many days would Rahul take alone?
  3. 3.Rohan and Arjun together finish a job in 2 days. Rohan alone takes 3 days. How many days would Arjun take alone?
  4. 4.Dev can finish a job in 4 days and Meera in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Diya and Kabir together finish a job in 2 days. Diya alone takes 3 days. How many days would Kabir take alone?
  6. 6.Ananya can finish a job in 18 days and Pooja in 6 days. Ananya works alone for 12 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  7. 7.Pooja can finish a job in 8 days and Vivaan in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  8. 8.Meera can finish a job in 19 days and Rahul in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Priya can finish a job in 10 days and Rahul in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Vivaan works twice as fast as Meera. Together they finish a job in 5 days. How many days would Meera take alone?
  11. 11.Farhan can finish a job in 11 days and Arjun in 22 days. Farhan works alone for 7 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  12. 12.Farhan can finish a job in 7 days and Rohan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Priya can finish a job in 7 days and Dev in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Diya and Rohan together finish a job in 2 days. Diya alone takes 3 days. How many days would Rohan take alone?
  15. 15.Pooja can finish a job in 6 days and Nisha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Aarav can finish a job in 3 days and Ananya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Saanvi can finish a job in 11 days and Kavya in 22 days. Saanvi works alone for 7 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  18. 18.Nisha can finish a job in 3 days and Ishaan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Diya can finish a job in 7 days and Manav in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Rohan can finish a job in 7 days and Karan in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Priya can finish a job in 5 days and Diya in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Ananya can finish a job in 9 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. =
  23. 23.Farhan can finish a job in 15 days and Arjun in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Arjun can finish a job in 20 days and Ananya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Zoya works twice as fast as Arjun. Together they finish a job in 4 days. How many days would Arjun take alone?
  26. 26.Tara works twice as fast as Arjun. Together they finish a job in 3 days. How many days would Arjun take alone?
  27. 27.Zoya can finish a job in 12 days and Arjun in 30 days. Zoya works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  28. 28.Rahul can finish a job in 15 days and Tara in 30 days. Rahul works alone for 10 days and then stops. Tara finishes the rest. How many days does Tara take?
  29. 29.Zoya and Aarav together finish a job in 6 days. Zoya alone takes 24 days. How many days would Aarav take alone?
  30. 30.Arjun can finish a job in 8 days and Meera in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  31. 31.Sneha works twice as fast as Ishaan. Together they finish a job in 9 days. How many days would Ishaan take alone?
  32. 32.Ananya can finish a job in 7 days and Ishaan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Pooja works twice as fast as Karan. Together they finish a job in 3 days. How many days would Karan take alone?
  34. 34.Priya can finish a job in 5 days and Arjun in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Kavya works twice as fast as Dev. Together they finish a job in 4 days. How many days would Dev take alone?
  36. 36.Rahul can finish a job in 7 days and Saanvi in 21 days. Rahul works alone for 5 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  37. 37.Sneha and Vivaan together finish a job in 4 days. Sneha alone takes 6 days. How many days would Vivaan take alone?
  38. 38.Priya can finish a job in 4 days and Tara in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  39. 39.Kabir can finish a job in 5 days and Saanvi in 25 days. Kabir works alone for 4 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  40. 40.Zoya can finish a job in 5 days and Arjun in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 4
  2. 6
  3. 6
  4. 76/23
  5. 6
  6. 2
  7. 5/8
  8. 34/285
  9. 27/170
  10. 15
  11. 8
  12. 112/23
  13. 12/35
  14. 6
  15. 30/11
  16. 51/20
  17. 8
  18. 33/14
  19. 11/28
  20. 12/35
  21. 12/35
  22. 117/22
  23. 16/45
  24. 10/3
  25. 12
  26. 9
  27. 20
  28. 10
  29. 8
  30. 5/8
  31. 27
  32. 14/9
  33. 9
  34. 15/8
  35. 12
  36. 6
  37. 12
  38. 15/16
  39. 5
  40. 15/4

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