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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 233 · 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 works three times as fast as Vivaan. Together they finish a job in 9 days. How many days would Vivaan take alone?
  2. 2.Kabir can finish a job in 18 days and Rohan in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Kabir can finish a job in 3 days and Diya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Farhan can finish a job in 15 days and Ananya in 20 days. Farhan works alone for 3 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  5. 5.Saanvi can finish a job in 12 days and Karan in 9 days. Saanvi works alone for 8 days and then stops. Karan finishes the rest. How many days does Karan take?
  6. 6.Ishaan can finish a job in 4 days and Aditya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Arjun can finish a job in 5 days and Kavya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Meera can finish a job in 5 days and Kabir in 15 days. Meera works alone for 4 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  9. 9.Aarav can finish a job in 8 days and Rohan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Manav can finish a job in 17 days and Aarav in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  11. 11.Isha and Pooja together finish a job in 6 days. Isha alone takes 7 days. How many days would Pooja take alone?
  12. 12.Meera and Aditya together finish a job in 12 days. Meera alone takes 20 days. How many days would Aditya take alone?
  13. 13.Manav and Kavya together finish a job in 12 days. Manav alone takes 24 days. How many days would Kavya take alone?
  14. 14.Saanvi can finish a job in 22 days and Vivaan in 11 days. Saanvi works alone for 20 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  15. 15.Tara can finish a job in 6 days and Vivaan in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Aarav can finish a job in 13 days and Zoya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Meera can finish a job in 6 days and Kabir in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Pooja can finish a job in 16 days and Aarav in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Aarav and Priya together finish a job in 10 days. Aarav alone takes 20 days. How many days would Priya take alone?
  20. 20.Ishaan can finish a job in 9 days and Diya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Kabir works three times as fast as Arjun. Together they finish a job in 11 days. How many days would Arjun take alone?
  22. 22.Manav can finish a job in 8 days and Isha in 26 days. Manav works alone for 4 days and then stops. Isha finishes the rest. How many days does Isha take?
  23. 23.Diya works twice as fast as Pooja. Together they finish a job in 9 days. How many days would Pooja take alone?
  24. 24.Nisha and Ananya together finish a job in 2 days. Nisha alone takes 3 days. How many days would Ananya take alone?
  25. 25.Rahul works twice as fast as Vivaan. Together they finish a job in 12 days. How many days would Vivaan take alone?
  26. 26.Dev can finish a job in 14 days and Kavya in 18 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 11 days and Aarav in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Zoya can finish a job in 15 days and Meera in 30 days. Zoya works alone for 1 day and then stops. Meera finishes the rest. How many days does Meera take?
  29. 29.Meera and Karan together finish a job in 2 days. Meera alone takes 3 days. How many days would Karan take alone?
  30. 30.Diya and Manav together finish a job in 5 days. Diya alone takes 10 days. How many days would Manav take alone?
  31. 31.Arjun and Meera together finish a job in 2 days. Arjun alone takes 4 days. How many days would Meera take alone?
  32. 32.Karan can finish a job in 5 days and Meera in 15 days. Karan works alone for 1 day and then stops. Meera finishes the rest. How many days does Meera take?
  33. 33.Aarav can finish a job in 13 days and Zoya in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  34. 34.Meera and Diya together finish a job in 2 days. Meera alone takes 3 days. How many days would Diya take alone?
  35. 35.Ananya and Karan together finish a job in 12 days. Ananya alone takes 30 days. How many days would Karan take alone?
  36. 36.Ananya can finish a job in 8 days and Zoya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Manav works three times as fast as Aarav. Together they finish a job in 10 days. How many days would Aarav take alone?
  38. 38.Sneha can finish a job in 5 days and Kabir in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  39. 39.Karan can finish a job in 11 days and Tara in 22 days. Karan works alone for 6 days and then stops. Tara finishes the rest. How many days does Tara take?
  40. 40.Aditya can finish a job in 14 days and Vivaan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 36
  2. 5/36
  3. 12/7
  4. 16
  5. 3
  6. 28/11
  7. 70/19
  8. 3
  9. 72/17
  10. 64/255
  11. 42
  12. 30
  13. 24
  14. 1
  15. 13/42
  16. 247/32
  17. 7/24
  18. 48/19
  19. 20
  20. 117/22
  21. 44
  22. 13
  23. 27
  24. 6
  25. 36
  26. 63/8
  27. 55/16
  28. 28
  29. 6
  30. 10
  31. 4
  32. 12
  33. 99/260
  34. 6
  35. 20
  36. 24/11
  37. 40
  38. 9/10
  39. 10
  40. 154/25

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