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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 281 · 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.Ishaan and Sneha together finish a job in 14 days. Ishaan alone takes 18 days. How many days would Sneha take alone?
  2. 2.Diya can finish a job in 3 days and Ishaan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Rohan can finish a job in 9 days and Kabir in 18 days. Rohan works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  4. 4.Rahul works three times as fast as Diya. Together they finish a job in 3 days. How many days would Diya take alone?
  5. 5.Ishaan works twice as fast as Ananya. Together they finish a job in 9 days. How many days would Ananya take alone?
  6. 6.Zoya and Nisha together finish a job in 6 days. Zoya alone takes 7 days. How many days would Nisha take alone?
  7. 7.Aarav works three times as fast as Tara. Together they finish a job in 4 days. How many days would Tara take alone?
  8. 8.Meera can finish a job in 19 days and Kabir in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Aditya can finish a job in 7 days and Nisha in 28 days. Aditya works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  10. 10.Farhan can finish a job in 9 days and Ananya in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Saanvi and Isha together finish a job in 2 days. Saanvi alone takes 4 days. How many days would Isha take alone?
  12. 12.Meera can finish a job in 19 days and Ishaan in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  13. 13.Karan can finish a job in 8 days and Ishaan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Ananya and Aditya together finish a job in 8 days. Ananya alone takes 12 days. How many days would Aditya take alone?
  15. 15.Farhan can finish a job in 18 days and Saanvi in 20 days. Farhan works alone for 9 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  16. 16.Sneha can finish a job in 12 days and Nisha in 18 days. Sneha works alone for 10 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  17. 17.Aditya can finish a job in 20 days and Saanvi in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Sneha works twice as fast as Farhan. Together they finish a job in 9 days. How many days would Farhan take alone?
  19. 19.Ananya can finish a job in 15 days and Aditya in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Sneha can finish a job in 5 days and Aditya in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Ishaan and Isha together finish a job in 2 days. Ishaan alone takes 4 days. How many days would Isha take alone?
  22. 22.Saanvi can finish a job in 10 days and Ishaan in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Ananya works twice as fast as Kabir. Together they finish a job in 6 days. How many days would Kabir take alone?
  24. 24.Rohan and Karan together finish a job in 6 days. Rohan alone takes 10 days. How many days would Karan take alone?
  25. 25.Manav can finish a job in 21 days and Ananya in 27 days. Manav works alone for 14 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  26. 26.Kavya and Aditya together finish a job in 2 days. Kavya alone takes 6 days. How many days would Aditya take alone?
  27. 27.Farhan can finish a job in 15 days and Zoya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Karan and Aditya together finish a job in 8 days. Karan alone takes 24 days. How many days would Aditya take alone?
  29. 29.Karan can finish a job in 10 days and Diya in 20 days. Karan works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  30. 30.Meera can finish a job in 9 days and Nisha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Rahul can finish a job in 4 days and Aarav in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Zoya works twice as fast as Pooja. Together they finish a job in 4 days. How many days would Pooja take alone?
  33. 33.Aditya works twice as fast as Vivaan. Together they finish a job in 6 days. How many days would Vivaan take alone?
  34. 34.Dev can finish a job in 18 days and Pooja in 12 days. Dev works alone for 3 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  35. 35.Ishaan can finish a job in 17 days and Pooja in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Tara can finish a job in 18 days and Isha in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Kabir can finish a job in 12 days and Dev in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Rohan works twice as fast as Ishaan. Together they finish a job in 5 days. How many days would Ishaan take alone?
  39. 39.Priya can finish a job in 3 days and Manav in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Manav can finish a job in 6 days and Rohan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 63
  2. 12/7
  3. 14
  4. 12
  5. 27
  6. 42
  7. 16
  8. 323/36
  9. 16
  10. 22/39
  11. 4
  12. 33/133
  13. 136/25
  14. 24
  15. 10
  16. 3
  17. 40/7
  18. 27
  19. 32/255
  20. 19/70
  21. 4
  22. 13/80
  23. 18
  24. 15
  25. 9
  26. 3
  27. 20/3
  28. 12
  29. 16
  30. 153/26
  31. 36/13
  32. 12
  33. 18
  34. 10
  35. 34/19
  36. 6
  37. 48/7
  38. 15
  39. 51/20
  40. 12/5

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