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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 382 · 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.Isha works twice as fast as Farhan. Together they finish a job in 5 days. How many days would Farhan take alone?
  2. 2.Pooja can finish a job in 27 days and Rohan in 9 days. Pooja works alone for 21 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  3. 3.Rahul can finish a job in 6 days and Kavya in 4 days. Rahul works alone for 3 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  4. 4.Sneha can finish a job in 2 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. =
  5. 5.Tara and Aarav together finish a job in 12 days. Tara alone takes 18 days. How many days would Aarav take alone?
  6. 6.Arjun can finish a job in 9 days and Meera in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  7. 7.Tara works three times as fast as Ishaan. Together they finish a job in 11 days. How many days would Ishaan take alone?
  8. 8.Zoya can finish a job in 4 days and Ishaan in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Isha and Farhan together finish a job in 4 days. Isha alone takes 8 days. How many days would Farhan take alone?
  10. 10.Vivaan works three times as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
  11. 11.Sneha can finish a job in 8 days and Rohan in 14 days. Sneha works alone for 4 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  12. 12.Ishaan can finish a job in 5 days and Rohan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Farhan can finish a job in 12 days and Nisha in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  14. 14.Sneha can finish a job in 15 days and Priya in 30 days. Sneha works alone for 13 days and then stops. Priya finishes the rest. How many days does Priya take?
  15. 15.Sneha works three times as fast as Karan. Together they finish a job in 9 days. How many days would Karan take alone?
  16. 16.Arjun can finish a job in 12 days and Tara in 24 days. Arjun works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
  17. 17.Sneha and Zoya together finish a job in 2 days. Sneha alone takes 3 days. How many days would Zoya take alone?
  18. 18.Saanvi and Diya together finish a job in 4 days. Saanvi alone takes 5 days. How many days would Diya take alone?
  19. 19.Arjun can finish a job in 6 days and Diya in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  20. 20.Farhan can finish a job in 3 days and Isha in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Nisha can finish a job in 15 days and Meera in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  22. 22.Farhan and Kabir together finish a job in 10 days. Farhan alone takes 30 days. How many days would Kabir take alone?
  23. 23.Diya can finish a job in 5 days and Farhan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Isha can finish a job in 20 days and Kavya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Ananya works three times as fast as Kabir. Together they finish a job in 7 days. How many days would Kabir take alone?
  26. 26.Vivaan can finish a job in 19 days and Farhan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Pooja can finish a job in 4 days and Manav in 16 days. Pooja works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  28. 28.Nisha and Rahul together finish a job in 12 days. Nisha alone takes 30 days. How many days would Rahul take alone?
  29. 29.Saanvi can finish a job in 6 days and Arjun in 24 days. Saanvi works alone for 1 day and then stops. Arjun finishes the rest. How many days does Arjun take?
  30. 30.Zoya can finish a job in 12 days and Farhan in 30 days. Zoya works alone for 6 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  31. 31.Sneha can finish a job in 13 days and Kavya in 26 days. Sneha works alone for 3 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  32. 32.Karan can finish a job in 17 days and Nisha in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Vivaan works three times as fast as Farhan. Together they finish a job in 12 days. How many days would Farhan take alone?
  34. 34.Vivaan works three times as fast as Rahul. Together they finish a job in 2 days. How many days would Rahul take alone?
  35. 35.Ananya can finish a job in 15 days and Priya in 10 days. Ananya works alone for 12 days and then stops. Priya finishes the rest. How many days does Priya take?
  36. 36.Aarav can finish a job in 5 days and Tara in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Tara can finish a job in 14 days and Meera in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  38. 38.Nisha works three times as fast as Rahul. Together they finish a job in 4 days. How many days would Rahul take alone?
  39. 39.Nisha can finish a job in 13 days and Priya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Nisha works twice as fast as Arjun. Together they finish a job in 12 days. How many days would Arjun take alone?

Answer key

  1. 15
  2. 2
  3. 2
  4. 34/19
  5. 36
  6. 17/36
  7. 44
  8. 3/4
  9. 8
  10. 32
  11. 7
  12. 30/11
  13. 23/66
  14. 4
  15. 36
  16. 16
  17. 6
  18. 20
  19. 25/38
  20. 60/23
  21. 11/30
  22. 15
  23. 90/23
  24. 180/19
  25. 28
  26. 152/27
  27. 8
  28. 20
  29. 20
  30. 15
  31. 20
  32. 340/37
  33. 48
  34. 8
  35. 2
  36. 21/40
  37. 23/63
  38. 16
  39. 91/20
  40. 36

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