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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 191 · 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.Zoya can finish a job in 6 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. =
  2. 2.Nisha and Manav together finish a job in 12 days. Nisha alone takes 20 days. How many days would Manav take alone?
  3. 3.Rahul works three times as fast as Kavya. Together they finish a job in 5 days. How many days would Kavya take alone?
  4. 4.Zoya can finish a job in 4 days and Rohan in 10 days. Zoya works alone for 2 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  5. 5.Rohan and Zoya together finish a job in 3 days. Rohan alone takes 6 days. How many days would Zoya take alone?
  6. 6.Isha can finish a job in 7 days and Zoya in 28 days. Isha works alone for 3 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  7. 7.Arjun works twice as fast as Kabir. Together they finish a job in 7 days. How many days would Kabir take alone?
  8. 8.Rahul can finish a job in 15 days and Arjun in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Priya can finish a job in 21 days and Kabir in 14 days. Priya works alone for 12 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  10. 10.Manav can finish a job in 4 days and Kabir in 8 days. Manav works alone for 3 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  11. 11.Farhan can finish a job in 17 days and Tara in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  12. 12.Aarav can finish a job in 7 days and Diya in 14 days. Aarav works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
  13. 13.Zoya and Rahul together finish a job in 3 days. Zoya alone takes 4 days. How many days would Rahul take alone?
  14. 14.Meera can finish a job in 15 days and Karan in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  15. 15.Kavya and Zoya together finish a job in 5 days. Kavya alone takes 6 days. How many days would Zoya take alone?
  16. 16.Farhan works three times as fast as Arjun. Together they finish a job in 11 days. How many days would Arjun take alone?
  17. 17.Karan can finish a job in 14 days and Nisha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Ananya works three times as fast as Dev. Together they finish a job in 4 days. How many days would Dev take alone?
  19. 19.Ishaan can finish a job in 12 days and Pooja in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Zoya can finish a job in 18 days and Arjun in 27 days. Zoya works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  21. 21.Isha can finish a job in 4 days and Priya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Tara and Pooja together finish a job in 2 days. Tara alone takes 3 days. How many days would Pooja take alone?
  23. 23.Sneha can finish a job in 5 days and Meera in 15 days. Sneha works alone for 4 days and then stops. Meera finishes the rest. How many days does Meera take?
  24. 24.Tara can finish a job in 13 days and Isha in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Karan can finish a job in 21 days and Kabir in 24 days. Karan works alone for 14 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  26. 26.Pooja can finish a job in 5 days and Dev in 25 days. Pooja works alone for 3 days and then stops. Dev finishes the rest. How many days does Dev take?
  27. 27.Rohan works twice as fast as Arjun. Together they finish a job in 12 days. How many days would Arjun take alone?
  28. 28.Rahul can finish a job in 2 days and Zoya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Kavya can finish a job in 8 days and Ishaan in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Nisha can finish a job in 19 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. =
  31. 31.Pooja and Karan together finish a job in 6 days. Pooja alone takes 12 days. How many days would Karan take alone?
  32. 32.Zoya and Farhan together finish a job in 4 days. Zoya alone takes 5 days. How many days would Farhan take alone?
  33. 33.Aditya can finish a job in 12 days and Karan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Meera can finish a job in 5 days and Pooja in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Diya can finish a job in 19 days and Saanvi in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Dev can finish a job in 14 days and Nisha in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Tara and Karan together finish a job in 8 days. Tara alone takes 24 days. How many days would Karan take alone?
  38. 38.Saanvi can finish a job in 8 days and Isha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Meera can finish a job in 11 days and Zoya in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  40. 40.Tara and Sneha together finish a job in 3 days. Tara alone takes 4 days. How many days would Sneha take alone?

Answer key

  1. 4
  2. 30
  3. 20
  4. 5
  5. 6
  6. 16
  7. 21
  8. 105/22
  9. 6
  10. 2
  11. 21/34
  12. 6
  13. 12
  14. 29/70
  15. 30
  16. 44
  17. 42/17
  18. 16
  19. 204/29
  20. 21
  21. 3
  22. 6
  23. 3
  24. 23/130
  25. 8
  26. 10
  27. 36
  28. 26/15
  29. 39/40
  30. 171/28
  31. 12
  32. 20
  33. 48/7
  34. 20/9
  35. 26/133
  36. 51/140
  37. 12
  38. 136/25
  39. 48/55
  40. 12

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