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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 132 · 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.Farhan and Pooja together finish a job in 4 days. Farhan alone takes 6 days. How many days would Pooja take alone?
  2. 2.Isha and Farhan together finish a job in 4 days. Isha alone takes 6 days. How many days would Farhan take alone?
  3. 3.Ananya can finish a job in 16 days and Rahul in 4 days. Ananya works alone for 12 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  4. 4.Rohan can finish a job in 17 days and Ananya in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  5. 5.Rahul can finish a job in 8 days and Ishaan in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  6. 6.Rohan and Aarav together finish a job in 12 days. Rohan alone takes 15 days. How many days would Aarav take alone?
  7. 7.Kavya and Farhan together finish a job in 18 days. Kavya alone takes 27 days. How many days would Farhan take alone?
  8. 8.Diya can finish a job in 12 days and Manav in 30 days. Diya works alone for 8 days and then stops. Manav finishes the rest. How many days does Manav take?
  9. 9.Meera can finish a job in 7 days and Diya in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  10. 10.Dev can finish a job in 11 days and Saanvi in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Aarav can finish a job in 10 days and Rahul in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Priya can finish a job in 16 days and Saanvi in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Rohan works three times as fast as Aarav. Together they finish a job in 2 days. How many days would Aarav take alone?
  14. 14.Tara and Vivaan together finish a job in 6 days. Tara alone takes 7 days. How many days would Vivaan take alone?
  15. 15.Ishaan can finish a job in 13 days and Meera in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Manav can finish a job in 3 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. =
  17. 17.Pooja and Manav together finish a job in 6 days. Pooja alone takes 10 days. How many days would Manav take alone?
  18. 18.Aarav works three times as fast as Kavya. Together they finish a job in 6 days. How many days would Kavya take alone?
  19. 19.Ishaan works twice as fast as Priya. Together they finish a job in 4 days. How many days would Priya take alone?
  20. 20.Ishaan and Kabir together finish a job in 5 days. Ishaan alone takes 6 days. How many days would Kabir take alone?
  21. 21.Rahul can finish a job in 5 days and Dev in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Pooja works twice as fast as Kavya. Together they finish a job in 4 days. How many days would Kavya take alone?
  23. 23.Rahul can finish a job in 9 days and Saanvi in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Ananya works three times as fast as Tara. Together they finish a job in 11 days. How many days would Tara take alone?
  25. 25.Meera can finish a job in 18 days and Tara in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Arjun 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 2 days? =
  27. 27.Karan can finish a job in 3 days and Zoya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Aarav works twice as fast as Tara. Together they finish a job in 7 days. How many days would Tara take alone?
  29. 29.Rohan can finish a job in 7 days and Priya in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Isha can finish a job in 20 days and Arjun in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  31. 31.Manav works three times as fast as Saanvi. Together they finish a job in 2 days. How many days would Saanvi take alone?
  32. 32.Isha can finish a job in 14 days and Ishaan in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Dev can finish a job in 14 days and Aditya in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  34. 34.Pooja and Dev together finish a job in 6 days. Pooja alone takes 24 days. How many days would Dev take alone?
  35. 35.Kabir and Nisha together finish a job in 8 days. Kabir alone takes 16 days. How many days would Nisha take alone?
  36. 36.Kavya works three times as fast as Kabir. Together they finish a job in 5 days. How many days would Kabir take alone?
  37. 37.Arjun and Dev together finish a job in 2 days. Arjun alone takes 3 days. How many days would Dev take alone?
  38. 38.Diya can finish a job in 4 days and Sneha in 26 days. Diya works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  39. 39.Ananya can finish a job in 8 days and Priya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Zoya works three times as fast as Aarav. Together they finish a job in 7 days. How many days would Aarav take alone?

Answer key

  1. 12
  2. 12
  3. 1
  4. 26/51
  5. 57/88
  6. 60
  7. 54
  8. 10
  9. 9/14
  10. 93/220
  11. 45/7
  12. 16/5
  13. 8
  14. 42
  15. 28/65
  16. 9/4
  17. 15
  18. 24
  19. 12
  20. 30
  21. 11/30
  22. 12
  23. 180/29
  24. 44
  25. 306/35
  26. 23/65
  27. 9/4
  28. 21
  29. 78/133
  30. 29/90
  31. 8
  32. 9/28
  33. 27/182
  34. 8
  35. 16
  36. 20
  37. 6
  38. 13
  39. 56/15
  40. 28

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