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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 269 · 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.Meera can finish a job in 13 days and Karan in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Sneha can finish a job in 15 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. =
  3. 3.Rahul 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. =
  4. 4.Ananya and Rohan together finish a job in 8 days. Ananya alone takes 12 days. How many days would Rohan take alone?
  5. 5.Pooja works twice as fast as Tara. Together they finish a job in 4 days. How many days would Tara take alone?
  6. 6.Farhan and Priya together finish a job in 4 days. Farhan alone takes 5 days. How many days would Priya take alone?
  7. 7.Sneha can finish a job in 14 days and Tara in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  8. 8.Meera can finish a job in 20 days and Diya in 26 days. Meera works alone for 10 days and then stops. Diya finishes the rest. How many days does Diya take?
  9. 9.Aarav can finish a job in 7 days and Ishaan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Kabir can finish a job in 6 days and Meera in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Isha and Vivaan together finish a job in 8 days. Isha alone takes 12 days. How many days would Vivaan take alone?
  12. 12.Sneha and Meera together finish a job in 6 days. Sneha alone takes 9 days. How many days would Meera take alone?
  13. 13.Vivaan and Karan together finish a job in 9 days. Vivaan alone takes 10 days. How many days would Karan take alone?
  14. 14.Aarav works three times as fast as Ananya. Together they finish a job in 8 days. How many days would Ananya take alone?
  15. 15.Isha can finish a job in 5 days and Arjun in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Sneha works twice as fast as Manav. Together they finish a job in 5 days. How many days would Manav take alone?
  17. 17.Priya can finish a job in 15 days and Aarav in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  18. 18.Arjun and Kabir together finish a job in 8 days. Arjun alone takes 9 days. How many days would Kabir take alone?
  19. 19.Pooja can finish a job in 28 days and Farhan in 14 days. Pooja works alone for 26 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  20. 20.Aarav can finish a job in 6 days and Kavya in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Manav can finish a job in 14 days and Nisha in 28 days. Manav works alone for 10 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  22. 22.Aditya and Nisha together finish a job in 2 days. Aditya alone takes 3 days. How many days would Nisha take alone?
  23. 23.Saanvi and Meera together finish a job in 2 days. Saanvi alone takes 4 days. How many days would Meera take alone?
  24. 24.Meera can finish a job in 15 days and Priya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Farhan and Zoya together finish a job in 2 days. Farhan alone takes 3 days. How many days would Zoya take alone?
  26. 26.Kabir can finish a job in 13 days and Pooja in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Aditya can finish a job in 12 days and Saanvi in 24 days. Aditya works alone for 8 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  28. 28.Farhan works twice as fast as Rahul. Together they finish a job in 6 days. How many days would Rahul take alone?
  29. 29.Ishaan can finish a job in 21 days and Saanvi in 18 days. Ishaan works alone for 14 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  30. 30.Dev can finish a job in 18 days and Meera in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Nisha can finish a job in 14 days and Rohan in 28 days. Nisha works alone for 11 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  32. 32.Dev can finish a job in 8 days and Diya in 28 days. Dev works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  33. 33.Rahul works twice as fast as Ishaan. Together they finish a job in 3 days. How many days would Ishaan take alone?
  34. 34.Kabir can finish a job in 7 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. =
  35. 35.Kavya can finish a job in 6 days and Ishaan in 12 days. Kavya works alone for 1 day and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  36. 36.Kabir can finish a job in 8 days and Diya in 18 days. Kabir works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
  37. 37.Vivaan and Zoya together finish a job in 10 days. Vivaan alone takes 14 days. How many days would Zoya take alone?
  38. 38.Vivaan and Isha together finish a job in 2 days. Vivaan alone takes 4 days. How many days would Isha take alone?
  39. 39.Tara can finish a job in 13 days and Farhan in 26 days. Tara works alone for 4 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  40. 40.Pooja can finish a job in 17 days and Nisha in 15 days. What fraction of the job do they finish if they work together for 1 day? =

Answer key

  1. 32/247
  2. 60/19
  3. 56/11
  4. 24
  5. 12
  6. 20
  7. 81/182
  8. 13
  9. 42/13
  10. 18/5
  11. 24
  12. 18
  13. 90
  14. 32
  15. 60/17
  16. 15
  17. 4/5
  18. 72
  19. 1
  20. 23/51
  21. 8
  22. 6
  23. 4
  24. 195/28
  25. 6
  26. 25/78
  27. 8
  28. 18
  29. 6
  30. 90/23
  31. 6
  32. 21
  33. 9
  34. 35/12
  35. 10
  36. 9
  37. 35
  38. 4
  39. 18
  40. 32/255

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