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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 345 · 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.Aditya works three times as fast as Isha. Together they finish a job in 2 days. How many days would Isha take alone?
  2. 2.Arjun can finish a job in 6 days and Ananya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Kabir can finish a job in 8 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. =
  4. 4.Rohan can finish a job in 16 days and Nisha in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  5. 5.Manav works twice as fast as Zoya. Together they finish a job in 8 days. How many days would Zoya take alone?
  6. 6.Arjun can finish a job in 8 days and Tara in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Ananya works twice as fast as Aditya. Together they finish a job in 11 days. How many days would Aditya take alone?
  8. 8.Farhan can finish a job in 11 days and Rahul in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Nisha can finish a job in 10 days and Dev in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Kabir works three times as fast as Saanvi. Together they finish a job in 7 days. How many days would Saanvi take alone?
  11. 11.Dev can finish a job in 6 days and Rohan in 30 days. Dev works alone for 5 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  12. 12.Rahul and Ananya together finish a job in 14 days. Rahul alone takes 18 days. How many days would Ananya take alone?
  13. 13.Pooja can finish a job in 17 days and Manav in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Arjun and Ananya together finish a job in 15 days. Arjun alone takes 24 days. How many days would Ananya take alone?
  15. 15.Vivaan can finish a job in 12 days and Diya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Karan can finish a job in 4 days and Priya in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  17. 17.Nisha can finish a job in 13 days and Ananya in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Rahul and Zoya together finish a job in 6 days. Rahul alone takes 7 days. How many days would Zoya take alone?
  19. 19.Ananya and Vivaan together finish a job in 8 days. Ananya alone takes 9 days. How many days would Vivaan take alone?
  20. 20.Vivaan can finish a job in 4 days and Rahul in 16 days. Vivaan works alone for 1 day and then stops. Rahul finishes the rest. How many days does Rahul take?
  21. 21.Sneha can finish a job in 9 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.Kabir can finish a job in 14 days and Sneha in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Rohan works twice as fast as Kabir. Together they finish a job in 12 days. How many days would Kabir take alone?
  24. 24.Aarav can finish a job in 14 days and Tara in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Rohan works twice as fast as Rahul. Together they finish a job in 3 days. How many days would Rahul take alone?
  26. 26.Sneha can finish a job in 10 days and Saanvi in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Priya can finish a job in 14 days and Rohan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Ishaan can finish a job in 6 days and Rahul in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Aarav and Dev together finish a job in 2 days. Aarav alone takes 3 days. How many days would Dev take alone?
  30. 30.Karan can finish a job in 15 days and Dev in 10 days. Karan works alone for 3 days and then stops. Dev finishes the rest. How many days does Dev take?
  31. 31.Zoya can finish a job in 6 days and Sneha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Tara can finish a job in 19 days and Isha in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Rahul works twice as fast as Karan. Together they finish a job in 10 days. How many days would Karan take alone?
  34. 34.Karan and Manav together finish a job in 10 days. Karan alone takes 20 days. How many days would Manav take alone?
  35. 35.Meera can finish a job in 4 days and Tara in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Pooja and Rohan together finish a job in 5 days. Pooja alone takes 6 days. How many days would Rohan take alone?
  37. 37.Saanvi can finish a job in 16 days and Diya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Rahul can finish a job in 7 days and Aarav in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Kabir can finish a job in 22 days and Pooja in 28 days. Kabir works alone for 11 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  40. 40.Ananya and Priya together finish a job in 2 days. Ananya alone takes 3 days. How many days would Priya take alone?

Answer key

  1. 8
  2. 102/23
  3. 40/13
  4. 21/80
  5. 24
  6. 136/25
  7. 33
  8. 60/209
  9. 6
  10. 28
  11. 5
  12. 63
  13. 272/33
  14. 40
  15. 36/5
  16. 5/6
  17. 18/65
  18. 42
  19. 72
  20. 12
  21. 16
  22. 25/77
  23. 36
  24. 7/4
  25. 9
  26. 6
  27. 7/4
  28. 18/5
  29. 6
  30. 8
  31. 12/5
  32. 190/29
  33. 30
  34. 20
  35. 13/36
  36. 30
  37. 144/17
  38. 126/25
  39. 14
  40. 6

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