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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 386 · 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.Arjun and Vivaan together finish a job in 6 days. Arjun alone takes 24 days. How many days would Vivaan take alone?
  2. 2.Zoya and Isha together finish a job in 21 days. Zoya alone takes 30 days. How many days would Isha take alone?
  3. 3.Priya can finish a job in 5 days and Rohan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Tara works three times as fast as Meera. Together they finish a job in 10 days. How many days would Meera take alone?
  5. 5.Manav can finish a job in 7 days and Nisha in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  6. 6.Kabir and Rohan together finish a job in 4 days. Kabir alone takes 5 days. How many days would Rohan take alone?
  7. 7.Diya can finish a job in 6 days and Arjun in 20 days. Diya works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  8. 8.Farhan works twice as fast as Rahul. Together they finish a job in 2 days. How many days would Rahul take alone?
  9. 9.Ishaan can finish a job in 20 days and Dev in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Dev can finish a job in 10 days and Vivaan in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  11. 11.Kabir can finish a job in 9 days and Meera in 18 days. Kabir works alone for 6 days and then stops. Meera finishes the rest. How many days does Meera take?
  12. 12.Aarav can finish a job in 4 days and Nisha in 24 days. Aarav works alone for 1 day and then stops. Nisha finishes the rest. How many days does Nisha take?
  13. 13.Isha can finish a job in 5 days and Rahul in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Diya can finish a job in 8 days and Vivaan in 12 days. Diya works alone for 4 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  15. 15.Isha can finish a job in 6 days and Nisha in 10 days. Isha works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  16. 16.Karan can finish a job in 10 days and Nisha in 5 days. Karan works alone for 6 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  17. 17.Kavya works three times as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
  18. 18.Karan works three times as fast as Kavya. Together they finish a job in 2 days. How many days would Kavya take alone?
  19. 19.Kabir can finish a job in 28 days and Meera in 18 days. Kabir works alone for 14 days and then stops. Meera finishes the rest. How many days does Meera take?
  20. 20.Pooja can finish a job in 7 days and Diya in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Diya works three times as fast as Ananya. Together they finish a job in 5 days. How many days would Ananya take alone?
  22. 22.Kabir can finish a job in 7 days and Ananya in 14 days. Kabir works alone for 1 day and then stops. Ananya finishes the rest. How many days does Ananya take?
  23. 23.Tara and Kabir together finish a job in 10 days. Tara alone takes 15 days. How many days would Kabir take alone?
  24. 24.Ishaan works twice as fast as Rahul. Together they finish a job in 3 days. How many days would Rahul take alone?
  25. 25.Nisha works three times as fast as Zoya. Together they finish a job in 7 days. How many days would Zoya take alone?
  26. 26.Manav and Priya together finish a job in 2 days. Manav alone takes 3 days. How many days would Priya take alone?
  27. 27.Priya can finish a job in 4 days and Farhan in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  28. 28.Aarav works twice as fast as Meera. Together they finish a job in 8 days. How many days would Meera take alone?
  29. 29.Pooja can finish a job in 19 days and Rohan in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Kabir can finish a job in 7 days and Pooja in 14 days. Kabir works alone for 5 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  31. 31.Kabir can finish a job in 13 days and Sneha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Aditya can finish a job in 11 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. =
  33. 33.Manav and Rohan together finish a job in 2 days. Manav alone takes 3 days. How many days would Rohan take alone?
  34. 34.Diya and Aditya together finish a job in 2 days. Diya alone takes 3 days. How many days would Aditya take alone?
  35. 35.Manav works twice as fast as Sneha. Together they finish a job in 4 days. How many days would Sneha take alone?
  36. 36.Kabir works twice as fast as Vivaan. Together they finish a job in 7 days. How many days would Vivaan take alone?
  37. 37.Saanvi can finish a job in 27 days and Rahul in 18 days. Saanvi works alone for 24 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  38. 38.Diya works three times as fast as Arjun. Together they finish a job in 7 days. How many days would Arjun take alone?
  39. 39.Rahul and Farhan together finish a job in 8 days. Rahul alone takes 10 days. How many days would Farhan take alone?
  40. 40.Meera can finish a job in 15 days and Diya in 14 days. What fraction of the job do they finish if they work together for 2 days? =

Answer key

  1. 8
  2. 70
  3. 80/21
  4. 40
  5. 36/77
  6. 20
  7. 10
  8. 6
  9. 7/20
  10. 9/40
  11. 6
  12. 18
  13. 22/85
  14. 6
  15. 5
  16. 2
  17. 32
  18. 8
  19. 9
  20. 78/133
  21. 20
  22. 12
  23. 30
  24. 9
  25. 28
  26. 6
  27. 69/76
  28. 24
  29. 25/38
  30. 4
  31. 26/15
  32. 55/16
  33. 6
  34. 6
  35. 12
  36. 21
  37. 2
  38. 28
  39. 40
  40. 29/105

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