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Time and Work Worksheet

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

Answer key

  1. 6/5
  2. 180/29
  3. 9
  4. 266/33
  5. 16
  6. 28
  7. 14/3
  8. 9/5
  9. 12
  10. 6
  11. 40/7
  12. 85/22
  13. 15
  14. 15/22
  15. 1/3
  16. 4
  17. 112/23
  18. 3
  19. 3
  20. 8
  21. 4
  22. 40/9
  23. 60
  24. 4
  25. 12
  26. 42
  27. 9
  28. 20
  29. 23/40
  30. 7
  31. 15
  32. 2
  33. 19/78
  34. 16
  35. 36
  36. 12
  37. 12
  38. 48/119
  39. 36
  40. 5

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