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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 309 · 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.Pooja works twice as fast as Arjun. Together they finish a job in 3 days. How many days would Arjun take alone?
  2. 2.Rohan works three times as fast as Arjun. Together they finish a job in 4 days. How many days would Arjun take alone?
  3. 3.Rohan can finish a job in 25 days and Arjun in 5 days. Rohan works alone for 20 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  4. 4.Aditya can finish a job in 13 days and Kavya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Pooja can finish a job in 19 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. =
  6. 6.Kavya can finish a job in 15 days and Kabir in 18 days. Kavya works alone for 10 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  7. 7.Ishaan can finish a job in 18 days and Kabir in 24 days. Ishaan works alone for 6 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  8. 8.Rahul can finish a job in 20 days and Meera in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Karan can finish a job in 27 days and Priya in 21 days. Karan works alone for 18 days and then stops. Priya finishes the rest. How many days does Priya take?
  10. 10.Priya can finish a job in 8 days and Aarav in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Meera can finish a job in 19 days and Kabir in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Rahul can finish a job in 3 days and Kabir in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Meera 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. =
  14. 14.Priya works three times as fast as Kavya. Together they finish a job in 12 days. How many days would Kavya take alone?
  15. 15.Karan can finish a job in 2 days and Vivaan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Aarav works three times as fast as Pooja. Together they finish a job in 6 days. How many days would Pooja take alone?
  17. 17.Farhan can finish a job in 15 days and Ananya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Ananya can finish a job in 12 days and Meera in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Pooja can finish a job in 5 days and Kabir in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  20. 20.Zoya can finish a job in 24 days and Dev in 6 days. Zoya works alone for 20 days and then stops. Dev finishes the rest. How many days does Dev take?
  21. 21.Kavya and Sneha together finish a job in 2 days. Kavya alone takes 4 days. How many days would Sneha take alone?
  22. 22.Arjun can finish a job in 15 days and Tara in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Meera can finish a job in 10 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. =
  24. 24.Manav and Ananya together finish a job in 6 days. Manav alone takes 12 days. How many days would Ananya take alone?
  25. 25.Manav can finish a job in 6 days and Rahul in 12 days. Manav works alone for 5 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  26. 26.Meera and Manav together finish a job in 2 days. Meera alone takes 3 days. How many days would Manav take alone?
  27. 27.Kavya and Aarav together finish a job in 2 days. Kavya alone takes 3 days. How many days would Aarav take alone?
  28. 28.Aditya can finish a job in 11 days and Rahul in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Arjun can finish a job in 17 days and Diya in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Farhan and Kabir together finish a job in 2 days. Farhan alone takes 3 days. How many days would Kabir take alone?
  31. 31.Farhan can finish a job in 4 days and Rohan in 22 days. Farhan works alone for 2 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  32. 32.Farhan and Isha together finish a job in 6 days. Farhan alone takes 8 days. How many days would Isha take alone?
  33. 33.Aditya can finish a job in 15 days and Dev in 5 days. Aditya works alone for 9 days and then stops. Dev finishes the rest. How many days does Dev take?
  34. 34.Sneha can finish a job in 6 days and Nisha in 26 days. Sneha works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  35. 35.Ananya can finish a job in 5 days and Ishaan in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Sneha can finish a job in 9 days and Farhan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Karan can finish a job in 17 days and Sneha in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Dev can finish a job in 17 days and Sneha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Farhan works twice as fast as Diya. Together they finish a job in 7 days. How many days would Diya take alone?
  40. 40.Aditya and Meera together finish a job in 12 days. Aditya alone takes 21 days. How many days would Meera take alone?

Answer key

  1. 9
  2. 16
  3. 1
  4. 52/17
  5. 57/22
  6. 6
  7. 16
  8. 29/180
  9. 7
  10. 24/5
  11. 99/266
  12. 9/4
  13. 28/11
  14. 48
  15. 5/3
  16. 24
  17. 6
  18. 12/5
  19. 3/4
  20. 1
  21. 4
  22. 31/240
  23. 130/23
  24. 12
  25. 2
  26. 6
  27. 6
  28. 44/15
  29. 84/187
  30. 6
  31. 11
  32. 24
  33. 2
  34. 13
  35. 12/35
  36. 36/13
  37. 153/26
  38. 272/33
  39. 21
  40. 28

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