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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 505 · 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.Meera can finish a job in 17 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. =
  2. 2.Vivaan can finish a job in 9 days and Kabir in 18 days. Vivaan works alone for 3 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  3. 3.Rahul works three times as fast as Vivaan. Together they finish a job in 5 days. How many days would Vivaan take alone?
  4. 4.Diya can finish a job in 9 days and Rahul in 15 days. Diya works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  5. 5.Farhan works twice as fast as Saanvi. Together they finish a job in 6 days. How many days would Saanvi take alone?
  6. 6.Zoya works twice as fast as Rahul. Together they finish a job in 9 days. How many days would Rahul take alone?
  7. 7.Kabir can finish a job in 6 days and Vivaan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Sneha works three times as fast as Nisha. Together they finish a job in 5 days. How many days would Nisha take alone?
  9. 9.Arjun works twice as fast as Saanvi. Together they finish a job in 10 days. How many days would Saanvi take alone?
  10. 10.Sneha can finish a job in 6 days and Tara in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Arjun can finish a job in 20 days and Pooja in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Dev can finish a job in 10 days and Ananya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Zoya can finish a job in 13 days and Kavya in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  14. 14.Zoya and Aarav together finish a job in 4 days. Zoya alone takes 8 days. How many days would Aarav take alone?
  15. 15.Manav can finish a job in 20 days and Farhan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Diya can finish a job in 18 days and Priya in 9 days. Diya works alone for 14 days and then stops. Priya finishes the rest. How many days does Priya take?
  17. 17.Zoya can finish a job in 15 days and Isha in 12 days. Zoya works alone for 5 days and then stops. Isha finishes the rest. How many days does Isha take?
  18. 18.Ananya can finish a job in 20 days and Manav in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Tara can finish a job in 9 days and Manav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Rahul can finish a job in 15 days and Meera in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Saanvi can finish a job in 4 days and Kabir in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Saanvi can finish a job in 19 days and Aarav in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Pooja works twice as fast as Rahul. Together they finish a job in 10 days. How many days would Rahul take alone?
  24. 24.Manav and Rohan together finish a job in 2 days. Manav alone takes 4 days. How many days would Rohan take alone?
  25. 25.Farhan and Isha together finish a job in 7 days. Farhan alone takes 8 days. How many days would Isha take alone?
  26. 26.Pooja can finish a job in 13 days and Meera in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Karan can finish a job in 8 days and Zoya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Nisha works twice as fast as Ishaan. Together they finish a job in 4 days. How many days would Ishaan take alone?
  29. 29.Meera and Aditya together finish a job in 2 days. Meera alone takes 4 days. How many days would Aditya take alone?
  30. 30.Diya can finish a job in 2 days and Ananya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Diya works twice as fast as Zoya. Together they finish a job in 6 days. How many days would Zoya take alone?
  32. 32.Vivaan can finish a job in 7 days and Ananya in 14 days. Vivaan works alone for 6 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  33. 33.Diya can finish a job in 11 days and Nisha in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  34. 34.Meera can finish a job in 6 days and Kabir in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Saanvi can finish a job in 5 days and Zoya in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Priya can finish a job in 10 days and Ananya in 30 days. Priya works alone for 6 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  37. 37.Saanvi can finish a job in 12 days and Dev in 6 days. Saanvi works alone for 8 days and then stops. Dev finishes the rest. How many days does Dev take?
  38. 38.Kabir can finish a job in 8 days and Nisha in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  39. 39.Kavya can finish a job in 15 days and Manav in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Ishaan can finish a job in 11 days and Rohan in 7 days. What fraction of the job do they finish if they work together for 3 days? =

Answer key

  1. 306/35
  2. 12
  3. 20
  4. 10
  5. 18
  6. 27
  7. 21/5
  8. 20
  9. 30
  10. 4
  11. 81/140
  12. 190/29
  13. 31/78
  14. 8
  15. 340/37
  16. 2
  17. 8
  18. 10/3
  19. 18/5
  20. 165/26
  21. 12/5
  22. 380/39
  23. 30
  24. 4
  25. 56
  26. 23/65
  27. 152/27
  28. 12
  29. 4
  30. 14/9
  31. 18
  32. 2
  33. 29/198
  34. 102/23
  35. 11/15
  36. 12
  37. 2
  38. 21/52
  39. 15/4
  40. 54/77

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