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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 316 · 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 14 days and Ishaan in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Karan can finish a job in 9 days and Vivaan in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  3. 3.Manav can finish a job in 20 days and Vivaan in 5 days. Manav works alone for 16 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  4. 4.Aarav works twice as fast as Priya. Together they finish a job in 5 days. How many days would Priya take alone?
  5. 5.Pooja and Rohan together finish a job in 12 days. Pooja alone takes 24 days. How many days would Rohan take alone?
  6. 6.Vivaan can finish a job in 2 days and Ananya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Saanvi works three times as fast as Ishaan. Together they finish a job in 8 days. How many days would Ishaan take alone?
  8. 8.Zoya can finish a job in 15 days and Vivaan in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Aditya and Priya together finish a job in 11 days. Aditya alone takes 22 days. How many days would Priya take alone?
  10. 10.Rohan and Aditya together finish a job in 2 days. Rohan alone takes 3 days. How many days would Aditya take alone?
  11. 11.Ananya works twice as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?
  12. 12.Kabir works twice as fast as Aditya. Together they finish a job in 3 days. How many days would Aditya take alone?
  13. 13.Kabir can finish a job in 9 days and Sneha in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  14. 14.Pooja can finish a job in 8 days and Kabir in 24 days. Pooja works alone for 3 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  15. 15.Kavya can finish a job in 13 days and Sneha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Manav can finish a job in 7 days and Kavya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Karan can finish a job in 10 days and Priya in 26 days. Karan works alone for 5 days and then stops. Priya finishes the rest. How many days does Priya take?
  18. 18.Kabir works three times as fast as Pooja. Together they finish a job in 5 days. How many days would Pooja take alone?
  19. 19.Zoya can finish a job in 7 days and Meera in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Meera can finish a job in 9 days and Arjun in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Vivaan can finish a job in 20 days and Rohan in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  22. 22.Arjun can finish a job in 19 days and Tara in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Nisha works three times as fast as Kabir. Together they finish a job in 8 days. How many days would Kabir take alone?
  24. 24.Diya can finish a job in 13 days and Kavya in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  25. 25.Sneha works three times as fast as Saanvi. Together they finish a job in 9 days. How many days would Saanvi take alone?
  26. 26.Karan can finish a job in 6 days and Isha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Meera can finish a job in 5 days and Zoya in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  28. 28.Kabir can finish a job in 18 days and Isha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Rohan can finish a job in 8 days and Ananya in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  30. 30.Aarav and Aditya together finish a job in 3 days. Aarav alone takes 12 days. How many days would Aditya take alone?
  31. 31.Vivaan can finish a job in 11 days and Ishaan in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Dev works twice as fast as Arjun. Together they finish a job in 7 days. How many days would Arjun take alone?
  33. 33.Dev can finish a job in 4 days and Aarav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Diya and Ananya together finish a job in 4 days. Diya alone takes 5 days. How many days would Ananya take alone?
  35. 35.Aarav can finish a job in 6 days and Saanvi in 12 days. Aarav works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  36. 36.Pooja can finish a job in 9 days and Ananya in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Manav and Kavya together finish a job in 7 days. Manav alone takes 8 days. How many days would Kavya take alone?
  38. 38.Pooja can finish a job in 14 days and Aditya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Dev works three times as fast as Ishaan. Together they finish a job in 4 days. How many days would Ishaan take alone?
  40. 40.Diya works twice as fast as Rohan. Together they finish a job in 5 days. How many days would Rohan take alone?

Answer key

  1. 11/56
  2. 5/6
  3. 1
  4. 15
  5. 24
  6. 20/11
  7. 32
  8. 19/30
  9. 22
  10. 6
  11. 12
  12. 9
  13. 13/18
  14. 15
  15. 78/19
  16. 42/13
  17. 13
  18. 20
  19. 11/28
  20. 20/33
  21. 27/70
  22. 57/22
  23. 32
  24. 63/104
  25. 36
  26. 12/5
  27. 23/45
  28. 18/7
  29. 11/56
  30. 4
  31. 63/110
  32. 21
  33. 12/5
  34. 20
  35. 10
  36. 16/45
  37. 56
  38. 210/29
  39. 16
  40. 15

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