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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 218 · 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.Priya works three times as fast as Ananya. Together they finish a job in 9 days. How many days would Ananya take alone?
  2. 2.Aarav and Diya together finish a job in 4 days. Aarav alone takes 6 days. How many days would Diya take alone?
  3. 3.Dev can finish a job in 10 days and Saanvi in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Manav can finish a job in 13 days and Arjun in 26 days. Manav works alone for 7 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  5. 5.Meera can finish a job in 5 days and Karan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Dev can finish a job in 14 days and Isha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Farhan can finish a job in 4 days and Vivaan in 28 days. Farhan works alone for 3 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  8. 8.Ishaan and Zoya together finish a job in 12 days. Ishaan alone takes 18 days. How many days would Zoya take alone?
  9. 9.Rohan can finish a job in 15 days and Meera in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Zoya can finish a job in 3 days and Arjun in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Vivaan and Pooja together finish a job in 6 days. Vivaan alone takes 9 days. How many days would Pooja take alone?
  12. 12.Isha can finish a job in 9 days and Saanvi in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  13. 13.Arjun and Aditya together finish a job in 2 days. Arjun alone takes 6 days. How many days would Aditya take alone?
  14. 14.Kabir works three times as fast as Diya. Together they finish a job in 2 days. How many days would Diya take alone?
  15. 15.Aarav can finish a job in 3 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. =
  16. 16.Isha works three times as fast as Pooja. Together they finish a job in 12 days. How many days would Pooja take alone?
  17. 17.Rahul and Kavya together finish a job in 3 days. Rahul alone takes 6 days. How many days would Kavya take alone?
  18. 18.Rahul and Saanvi together finish a job in 9 days. Rahul alone takes 12 days. How many days would Saanvi take alone?
  19. 19.Pooja and Nisha together finish a job in 14 days. Pooja alone takes 28 days. How many days would Nisha take alone?
  20. 20.Vivaan can finish a job in 20 days and Rohan in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Meera can finish a job in 7 days and Ananya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Pooja can finish a job in 6 days and Kabir in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Manav and Saanvi together finish a job in 9 days. Manav alone takes 10 days. How many days would Saanvi take alone?
  24. 24.Rohan works three times as fast as Ishaan. Together they finish a job in 9 days. How many days would Ishaan take alone?
  25. 25.Saanvi and Diya together finish a job in 16 days. Saanvi alone takes 24 days. How many days would Diya take alone?
  26. 26.Karan and Kavya together finish a job in 3 days. Karan alone takes 4 days. How many days would Kavya take alone?
  27. 27.Farhan and Aarav together finish a job in 3 days. Farhan alone takes 4 days. How many days would Aarav take alone?
  28. 28.Aditya can finish a job in 14 days and Isha in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Kabir can finish a job in 25 days and Isha in 20 days. Kabir works alone for 20 days and then stops. Isha finishes the rest. How many days does Isha take?
  30. 30.Meera works twice as fast as Nisha. Together they finish a job in 7 days. How many days would Nisha take alone?
  31. 31.Dev and Isha together finish a job in 5 days. Dev alone takes 6 days. How many days would Isha take alone?
  32. 32.Karan works three times as fast as Vivaan. Together they finish a job in 11 days. How many days would Vivaan take alone?
  33. 33.Vivaan can finish a job in 6 days and Dev in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Zoya can finish a job in 8 days and Diya in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  35. 35.Dev can finish a job in 18 days and Rohan in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Manav works three times as fast as Ishaan. Together they finish a job in 8 days. How many days would Ishaan take alone?
  37. 37.Vivaan can finish a job in 7 days and Zoya in 28 days. Vivaan works alone for 6 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  38. 38.Kabir can finish a job in 14 days and Zoya in 28 days. Kabir works alone for 1 day and then stops. Zoya finishes the rest. How many days does Zoya take?
  39. 39.Manav and Meera together finish a job in 12 days. Manav alone takes 30 days. How many days would Meera take alone?
  40. 40.Nisha can finish a job in 4 days and Meera in 22 days. Nisha works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?

Answer key

  1. 36
  2. 12
  3. 170/27
  4. 12
  5. 95/24
  6. 63/8
  7. 7
  8. 36
  9. 60/19
  10. 12/5
  11. 18
  12. 13/18
  13. 3
  14. 8
  15. 5/2
  16. 48
  17. 6
  18. 36
  19. 28
  20. 4/15
  21. 14/9
  22. 9/2
  23. 90
  24. 36
  25. 48
  26. 12
  27. 12
  28. 140/17
  29. 4
  30. 21
  31. 30
  32. 44
  33. 30/11
  34. 9/40
  35. 37/171
  36. 32
  37. 4
  38. 26
  39. 20
  40. 11

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