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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 217 · 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.Tara works twice as fast as Vivaan. Together they finish a job in 9 days. How many days would Vivaan take alone?
  2. 2.Nisha works twice as fast as Pooja. Together they finish a job in 4 days. How many days would Pooja take alone?
  3. 3.Arjun can finish a job in 19 days and Priya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Kabir can finish a job in 10 days and Rohan in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  5. 5.Ishaan can finish a job in 9 days and Rohan in 15 days. Ishaan works alone for 6 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  6. 6.Pooja works twice as fast as Aarav. Together they finish a job in 4 days. How many days would Aarav take alone?
  7. 7.Rohan can finish a job in 20 days and Aditya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Farhan and Rohan together finish a job in 16 days. Farhan alone takes 20 days. How many days would Rohan take alone?
  9. 9.Priya and Kavya together finish a job in 14 days. Priya alone takes 18 days. How many days would Kavya take alone?
  10. 10.Rohan and Aditya together finish a job in 4 days. Rohan alone takes 8 days. How many days would Aditya take alone?
  11. 11.Ananya can finish a job in 15 days and Priya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Saanvi and Aditya together finish a job in 4 days. Saanvi alone takes 6 days. How many days would Aditya take alone?
  13. 13.Kabir and Diya together finish a job in 2 days. Kabir alone takes 4 days. How many days would Diya take alone?
  14. 14.Rohan can finish a job in 8 days and Farhan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Karan and Vivaan together finish a job in 7 days. Karan alone takes 8 days. How many days would Vivaan take alone?
  16. 16.Diya can finish a job in 8 days and Arjun in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Aditya can finish a job in 9 days and Tara in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Zoya and Karan together finish a job in 9 days. Zoya alone takes 10 days. How many days would Karan take alone?
  19. 19.Arjun can finish a job in 4 days and Rahul in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Rohan works three times as fast as Sneha. Together they finish a job in 3 days. How many days would Sneha take alone?
  21. 21.Farhan can finish a job in 20 days and Tara in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  22. 22.Karan and Arjun together finish a job in 5 days. Karan alone takes 6 days. How many days would Arjun take alone?
  23. 23.Rohan works three times as fast as Vivaan. Together they finish a job in 2 days. How many days would Vivaan take alone?
  24. 24.Zoya can finish a job in 19 days and Kabir in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Meera and Arjun together finish a job in 3 days. Meera alone takes 6 days. How many days would Arjun take alone?
  26. 26.Isha can finish a job in 20 days and Karan in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Manav can finish a job in 8 days and Tara in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  28. 28.Saanvi works twice as fast as Meera. Together they finish a job in 10 days. How many days would Meera take alone?
  29. 29.Rahul works three times as fast as Vivaan. Together they finish a job in 3 days. How many days would Vivaan take alone?
  30. 30.Kabir can finish a job in 19 days and Sneha in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Vivaan can finish a job in 2 days and Saanvi in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Priya can finish a job in 19 days and Zoya in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Dev can finish a job in 10 days and Saanvi in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  34. 34.Kabir and Aarav together finish a job in 5 days. Kabir alone takes 10 days. How many days would Aarav take alone?
  35. 35.Sneha can finish a job in 20 days and Rahul in 8 days. Sneha works alone for 15 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  36. 36.Zoya works twice as fast as Rahul. Together they finish a job in 9 days. How many days would Rahul take alone?
  37. 37.Ishaan works twice as fast as Priya. Together they finish a job in 10 days. How many days would Priya take alone?
  38. 38.Aditya works three times as fast as Karan. Together they finish a job in 10 days. How many days would Karan take alone?
  39. 39.Priya and Isha together finish a job in 2 days. Priya alone takes 3 days. How many days would Isha take alone?
  40. 40.Saanvi and Sneha together finish a job in 3 days. Saanvi alone takes 4 days. How many days would Sneha take alone?

Answer key

  1. 27
  2. 12
  3. 38/21
  4. 27/40
  5. 5
  6. 12
  7. 60/13
  8. 80
  9. 63
  10. 8
  11. 120/23
  12. 12
  13. 4
  14. 56/11
  15. 56
  16. 136/25
  17. 72/17
  18. 90
  19. 9/20
  20. 12
  21. 37/170
  22. 30
  23. 8
  24. 304/35
  25. 6
  26. 17/70
  27. 15/28
  28. 30
  29. 12
  30. 24/95
  31. 16/9
  32. 35/304
  33. 12/35
  34. 10
  35. 2
  36. 27
  37. 30
  38. 40
  39. 6
  40. 12

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