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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 284 · 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.Kabir can finish a job in 14 days and Nisha in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Meera can finish a job in 8 days and Diya in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  3. 3.Pooja works twice as fast as Rahul. Together they finish a job in 5 days. How many days would Rahul take alone?
  4. 4.Aarav works three times as fast as Arjun. Together they finish a job in 2 days. How many days would Arjun take alone?
  5. 5.Sneha works three times as fast as Vivaan. Together they finish a job in 2 days. How many days would Vivaan take alone?
  6. 6.Karan can finish a job in 4 days and Rohan in 12 days. Karan works alone for 1 day and then stops. Rohan finishes the rest. How many days does Rohan take?
  7. 7.Sneha and Priya together finish a job in 9 days. Sneha alone takes 18 days. How many days would Priya take alone?
  8. 8.Rohan and Isha together finish a job in 2 days. Rohan alone takes 3 days. How many days would Isha take alone?
  9. 9.Priya can finish a job in 13 days and Pooja in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Karan and Zoya together finish a job in 2 days. Karan alone takes 3 days. How many days would Zoya take alone?
  11. 11.Ishaan can finish a job in 12 days and Saanvi in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Aditya can finish a job in 11 days and Farhan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Nisha can finish a job in 9 days and Farhan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Pooja and Manav together finish a job in 3 days. Pooja alone takes 4 days. How many days would Manav take alone?
  15. 15.Farhan can finish a job in 15 days and Dev in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  16. 16.Priya can finish a job in 7 days and Arjun in 28 days. Priya works alone for 1 day and then stops. Arjun finishes the rest. How many days does Arjun take?
  17. 17.Diya can finish a job in 7 days and Kabir in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  18. 18.Saanvi can finish a job in 6 days and Kavya in 15 days. Saanvi works alone for 4 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  19. 19.Isha can finish a job in 13 days and Manav in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  20. 20.Vivaan can finish a job in 20 days and Meera in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Isha can finish a job in 11 days and Zoya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Kavya works three times as fast as Pooja. Together they finish a job in 12 days. How many days would Pooja take alone?
  23. 23.Meera and Farhan together finish a job in 18 days. Meera alone takes 30 days. How many days would Farhan take alone?
  24. 24.Rohan and Saanvi together finish a job in 10 days. Rohan alone takes 14 days. How many days would Saanvi take alone?
  25. 25.Ananya works three times as fast as Ishaan. Together they finish a job in 6 days. How many days would Ishaan take alone?
  26. 26.Kavya can finish a job in 8 days and Zoya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Diya can finish a job in 17 days and Saanvi in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Meera works three times as fast as Ishaan. Together they finish a job in 3 days. How many days would Ishaan take alone?
  29. 29.Kavya can finish a job in 5 days and Sneha in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  30. 30.Ananya can finish a job in 12 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. =
  31. 31.Diya works twice as fast as Meera. Together they finish a job in 8 days. How many days would Meera take alone?
  32. 32.Sneha works three times as fast as Diya. Together they finish a job in 7 days. How many days would Diya take alone?
  33. 33.Kabir and Tara together finish a job in 2 days. Kabir alone takes 6 days. How many days would Tara take alone?
  34. 34.Arjun can finish a job in 8 days and Aarav in 16 days. Arjun works alone for 7 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  35. 35.Farhan can finish a job in 9 days and Saanvi in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Rohan and Tara together finish a job in 9 days. Rohan alone takes 10 days. How many days would Tara take alone?
  37. 37.Arjun works twice as fast as Isha. Together they finish a job in 7 days. How many days would Isha take alone?
  38. 38.Priya can finish a job in 10 days and Saanvi in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  39. 39.Aarav can finish a job in 18 days and Kavya in 9 days. Aarav works alone for 14 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  40. 40.Karan can finish a job in 7 days and Meera in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 210/29
  2. 75/136
  3. 15
  4. 8
  5. 8
  6. 9
  7. 18
  8. 6
  9. 156/25
  10. 6
  11. 17/20
  12. 187/28
  13. 144/25
  14. 12
  15. 64/255
  16. 24
  17. 52/133
  18. 5
  19. 31/117
  20. 3/20
  21. 198/29
  22. 48
  23. 45
  24. 35
  25. 24
  26. 24/7
  27. 323/36
  28. 12
  29. 16/55
  30. 36/7
  31. 24
  32. 28
  33. 3
  34. 2
  35. 9/4
  36. 90
  37. 21
  38. 63/110
  39. 2
  40. 14/9

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