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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 175 · 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.Kabir can finish a job in 2 days and Farhan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Saanvi can finish a job in 7 days and Tara in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Vivaan can finish a job in 11 days and Aarav in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Manav works twice as fast as Meera. Together they finish a job in 12 days. How many days would Meera take alone?
  5. 5.Dev can finish a job in 6 days and Aarav in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Nisha can finish a job in 2 days and Vivaan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Aditya and Nisha together finish a job in 8 days. Aditya alone takes 24 days. How many days would Nisha take alone?
  8. 8.Karan can finish a job in 19 days and Ishaan in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  9. 9.Rohan works three times as fast as Arjun. Together they finish a job in 10 days. How many days would Arjun take alone?
  10. 10.Dev can finish a job in 13 days and Kabir in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Ishaan and Sneha together finish a job in 6 days. Ishaan alone takes 12 days. How many days would Sneha take alone?
  12. 12.Meera works three times as fast as Sneha. Together they finish a job in 9 days. How many days would Sneha take alone?
  13. 13.Zoya and Karan together finish a job in 3 days. Zoya alone takes 4 days. How many days would Karan take alone?
  14. 14.Saanvi works twice as fast as Sneha. Together they finish a job in 2 days. How many days would Sneha take alone?
  15. 15.Farhan can finish a job in 16 days and Aarav in 6 days. Farhan works alone for 8 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  16. 16.Aditya can finish a job in 15 days and Saanvi in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  17. 17.Kavya can finish a job in 14 days and Arjun in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  18. 18.Diya can finish a job in 18 days and Aarav in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Meera can finish a job in 3 days and Tara in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Dev and Aarav together finish a job in 6 days. Dev alone takes 10 days. How many days would Aarav take alone?
  21. 21.Nisha and Arjun together finish a job in 5 days. Nisha alone takes 6 days. How many days would Arjun take alone?
  22. 22.Karan can finish a job in 10 days and Arjun in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Isha can finish a job in 9 days and Aarav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Isha works twice as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
  25. 25.Zoya can finish a job in 4 days and Priya in 6 days. Zoya works alone for 2 days and then stops. Priya finishes the rest. How many days does Priya take?
  26. 26.Arjun can finish a job in 4 days and Kavya in 12 days. Arjun works alone for 1 day and then stops. Kavya finishes the rest. How many days does Kavya take?
  27. 27.Rahul works three times as fast as Pooja. Together they finish a job in 10 days. How many days would Pooja take alone?
  28. 28.Arjun can finish a job in 4 days and Sneha in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  29. 29.Isha can finish a job in 17 days and Sneha in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Manav can finish a job in 25 days and Kavya in 20 days. Manav works alone for 10 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  31. 31.Ishaan can finish a job in 5 days and Ananya in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  32. 32.Zoya can finish a job in 4 days and Tara in 12 days. Zoya works alone for 3 days and then stops. Tara finishes the rest. How many days does Tara take?
  33. 33.Rohan can finish a job in 6 days and Farhan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Pooja works three times as fast as Manav. Together they finish a job in 2 days. How many days would Manav take alone?
  35. 35.Rohan can finish a job in 13 days and Kavya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Kabir can finish a job in 10 days and Zoya in 5 days. Kabir works alone for 4 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  37. 37.Ananya works three times as fast as Aarav. Together they finish a job in 7 days. How many days would Aarav take alone?
  38. 38.Vivaan works twice as fast as Isha. Together they finish a job in 10 days. How many days would Isha take alone?
  39. 39.Tara can finish a job in 17 days and Kavya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Rahul can finish a job in 6 days and Aditya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 12/7
  2. 35/12
  3. 25/154
  4. 36
  5. 12/5
  6. 8/5
  7. 12
  8. 68/285
  9. 40
  10. 65/18
  11. 12
  12. 36
  13. 12
  14. 6
  15. 3
  16. 31/80
  17. 17/70
  18. 11/45
  19. 12/7
  20. 15
  21. 30
  22. 15/4
  23. 18/5
  24. 24
  25. 3
  26. 9
  27. 40
  28. 3/10
  29. 170/27
  30. 12
  31. 28/45
  32. 3
  33. 9/2
  34. 8
  35. 26/15
  36. 3
  37. 28
  38. 30
  39. 102/23
  40. 3/2

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