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Time and Work Worksheet

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

Answer key

  1. 16
  2. 16/5
  3. 60
  4. 9
  5. 112/15
  6. 23/76
  7. 48
  8. 3/4
  9. 4
  10. 2
  11. 30/17
  12. 27/182
  13. 10
  14. 14
  15. 136/25
  16. 27
  17. 4
  18. 154/25
  19. 36
  20. 228/31
  21. 12/7
  22. 40
  23. 6
  24. 5/24
  25. 9
  26. 60
  27. 16/5
  28. 72/95
  29. 3
  30. 16
  31. 56
  32. 8
  33. 21
  34. 27
  35. 17/70
  36. 29/104
  37. 18/7
  38. 90
  39. 45
  40. 3

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