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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 178 · 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.Tara can finish a job in 4 days and Vivaan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Tara can finish a job in 14 days and Zoya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Rohan can finish a job in 7 days and Tara in 28 days. Rohan works alone for 2 days and then stops. Tara finishes the rest. How many days does Tara take?
  4. 4.Rohan can finish a job in 10 days and Manav in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Nisha can finish a job in 16 days and Rahul in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  6. 6.Diya works twice as fast as Vivaan. Together they finish a job in 7 days. How many days would Vivaan take alone?
  7. 7.Karan can finish a job in 11 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. =
  8. 8.Dev can finish a job in 11 days and Zoya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Pooja can finish a job in 10 days and Kavya in 30 days. Pooja works alone for 3 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  10. 10.Isha and Ananya together finish a job in 3 days. Isha alone takes 12 days. How many days would Ananya take alone?
  11. 11.Pooja works twice as fast as Priya. Together they finish a job in 4 days. How many days would Priya take alone?
  12. 12.Manav and Ananya together finish a job in 2 days. Manav alone takes 3 days. How many days would Ananya take alone?
  13. 13.Diya can finish a job in 14 days and Dev in 10 days. Diya works alone for 7 days and then stops. Dev finishes the rest. How many days does Dev take?
  14. 14.Aarav and Tara together finish a job in 6 days. Aarav alone takes 7 days. How many days would Tara take alone?
  15. 15.Rohan and Isha together finish a job in 2 days. Rohan alone takes 4 days. How many days would Isha take alone?
  16. 16.Meera can finish a job in 4 days and Vivaan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Rahul and Zoya together finish a job in 6 days. Rahul alone takes 9 days. How many days would Zoya take alone?
  18. 18.Sneha can finish a job in 3 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. =
  19. 19.Rohan can finish a job in 6 days and Aditya in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Nisha and Manav together finish a job in 4 days. Nisha alone takes 8 days. How many days would Manav take alone?
  21. 21.Ishaan can finish a job in 8 days and Zoya in 14 days. Ishaan works alone for 4 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  22. 22.Rohan can finish a job in 14 days and Priya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Karan and Aarav together finish a job in 4 days. Karan alone takes 20 days. How many days would Aarav take alone?
  24. 24.Vivaan and Nisha together finish a job in 3 days. Vivaan alone takes 4 days. How many days would Nisha take alone?
  25. 25.Pooja can finish a job in 24 days and Farhan in 12 days. Pooja works alone for 4 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  26. 26.Karan and Tara together finish a job in 2 days. Karan alone takes 6 days. How many days would Tara take alone?
  27. 27.Diya works three times as fast as Vivaan. Together they finish a job in 6 days. How many days would Vivaan take alone?
  28. 28.Diya can finish a job in 11 days and Farhan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Zoya works three times as fast as Sneha. Together they finish a job in 10 days. How many days would Sneha take alone?
  30. 30.Farhan can finish a job in 5 days and Ananya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Tara can finish a job in 10 days and Zoya in 25 days. Tara works alone for 8 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  32. 32.Tara can finish a job in 18 days and Sneha in 27 days. Tara works alone for 6 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  33. 33.Diya can finish a job in 13 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. =
  34. 34.Dev works twice as fast as Diya. Together they finish a job in 5 days. How many days would Diya take alone?
  35. 35.Isha works three times as fast as Rahul. Together they finish a job in 12 days. How many days would Rahul take alone?
  36. 36.Vivaan can finish a job in 9 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. =
  37. 37.Diya and Priya together finish a job in 7 days. Diya alone takes 8 days. How many days would Priya take alone?
  38. 38.Zoya and Tara together finish a job in 6 days. Zoya alone takes 8 days. How many days would Tara take alone?
  39. 39.Zoya can finish a job in 10 days and Aditya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Karan can finish a job in 19 days and Isha in 20 days. What fraction of the job do they finish if they work together for 2 days? =

Answer key

  1. 4/3
  2. 56/11
  3. 20
  4. 45/7
  5. 9/40
  6. 21
  7. 22/13
  8. 22/13
  9. 21
  10. 4
  11. 12
  12. 6
  13. 5
  14. 42
  15. 4
  16. 20/9
  17. 18
  18. 18/7
  19. 23/102
  20. 8
  21. 7
  22. 210/29
  23. 5
  24. 12
  25. 10
  26. 3
  27. 24
  28. 220/31
  29. 40
  30. 30/11
  31. 5
  32. 18
  33. 52/17
  34. 15
  35. 48
  36. 18/11
  37. 56
  38. 24
  39. 6
  40. 39/190

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