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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 319 · 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 12 days and Rohan in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  2. 2.Saanvi and Isha together finish a job in 4 days. Saanvi alone takes 8 days. How many days would Isha take alone?
  3. 3.Aditya and Kabir together finish a job in 6 days. Aditya alone takes 10 days. How many days would Kabir take alone?
  4. 4.Karan works twice as fast as Saanvi. Together they finish a job in 6 days. How many days would Saanvi take alone?
  5. 5.Zoya can finish a job in 5 days and Vivaan in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  6. 6.Aditya and Kabir together finish a job in 15 days. Aditya alone takes 30 days. How many days would Kabir take alone?
  7. 7.Tara can finish a job in 11 days and Dev in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Diya works twice as fast as Priya. Together they finish a job in 5 days. How many days would Priya take alone?
  9. 9.Karan can finish a job in 20 days and Arjun in 22 days. Karan works alone for 10 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  10. 10.Diya and Aarav together finish a job in 2 days. Diya alone takes 3 days. How many days would Aarav take alone?
  11. 11.Arjun can finish a job in 9 days and Ananya in 27 days. Arjun works alone for 8 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  12. 12.Meera can finish a job in 7 days and Dev in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Meera works three times as fast as Kavya. Together they finish a job in 12 days. How many days would Kavya take alone?
  14. 14.Saanvi can finish a job in 17 days and Vivaan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Kabir works three times as fast as Zoya. Together they finish a job in 6 days. How many days would Zoya take alone?
  16. 16.Rohan can finish a job in 8 days and Kavya in 12 days. Rohan works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  17. 17.Farhan works twice as fast as Zoya. Together they finish a job in 9 days. How many days would Zoya take alone?
  18. 18.Saanvi works twice as fast as Rahul. Together they finish a job in 7 days. How many days would Rahul take alone?
  19. 19.Saanvi can finish a job in 15 days and Rohan in 24 days. Saanvi works alone for 10 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  20. 20.Tara can finish a job in 15 days and Ananya in 30 days. Tara works alone for 12 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  21. 21.Sneha can finish a job in 4 days and Farhan in 24 days. Sneha works alone for 3 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  22. 22.Kavya can finish a job in 16 days and Zoya in 24 days. Kavya works alone for 12 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  23. 23.Aditya works three times as fast as Vivaan. Together they finish a job in 2 days. How many days would Vivaan take alone?
  24. 24.Tara can finish a job in 9 days and Saanvi in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Aditya works three times as fast as Kabir. Together they finish a job in 3 days. How many days would Kabir take alone?
  26. 26.Rohan can finish a job in 16 days and Meera in 26 days. Rohan works alone for 8 days and then stops. Meera finishes the rest. How many days does Meera take?
  27. 27.Meera can finish a job in 17 days and Rohan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Pooja can finish a job in 18 days and Farhan in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  29. 29.Priya can finish a job in 14 days and Rohan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Rohan can finish a job in 11 days and Aarav in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Rahul can finish a job in 12 days and Tara in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Sneha can finish a job in 7 days and Farhan in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  33. 33.Vivaan works three times as fast as Pooja. Together they finish a job in 4 days. How many days would Pooja take alone?
  34. 34.Diya and Tara together finish a job in 9 days. Diya alone takes 12 days. How many days would Tara take alone?
  35. 35.Nisha can finish a job in 17 days and Farhan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Isha and Ananya together finish a job in 2 days. Isha alone takes 3 days. How many days would Ananya take alone?
  37. 37.Zoya and Karan together finish a job in 2 days. Zoya alone takes 3 days. How many days would Karan take alone?
  38. 38.Dev can finish a job in 14 days and Ananya in 7 days. Dev works alone for 10 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  39. 39.Priya can finish a job in 15 days and Ishaan in 20 days. Priya works alone for 6 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  40. 40.Sneha can finish a job in 19 days and Kabir in 5 days. What fraction of the job do they finish if they work together for 2 days? =

Answer key

  1. 7/18
  2. 8
  3. 15
  4. 18
  5. 8/15
  6. 30
  7. 110/21
  8. 15
  9. 11
  10. 6
  11. 3
  12. 28/11
  13. 48
  14. 306/35
  15. 24
  16. 9
  17. 27
  18. 21
  19. 8
  20. 6
  21. 6
  22. 6
  23. 8
  24. 45/14
  25. 12
  26. 13
  27. 136/25
  28. 31/117
  29. 42/17
  30. 28/187
  31. 13/28
  32. 24/35
  33. 16
  34. 36
  35. 340/37
  36. 6
  37. 6
  38. 2
  39. 12
  40. 48/95

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