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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 315 · 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.Priya can finish a job in 12 days and Rohan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Rohan can finish a job in 6 days and Dev in 10 days. Rohan works alone for 3 days and then stops. Dev finishes the rest. How many days does Dev take?
  3. 3.Meera can finish a job in 18 days and Farhan in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  4. 4.Priya works twice as fast as Pooja. Together they finish a job in 9 days. How many days would Pooja take alone?
  5. 5.Arjun and Farhan together finish a job in 8 days. Arjun alone takes 12 days. How many days would Farhan take alone?
  6. 6.Pooja and Diya together finish a job in 6 days. Pooja alone takes 9 days. How many days would Diya take alone?
  7. 7.Meera and Arjun together finish a job in 5 days. Meera alone takes 10 days. How many days would Arjun take alone?
  8. 8.Karan works twice as fast as Aarav. Together they finish a job in 11 days. How many days would Aarav take alone?
  9. 9.Pooja can finish a job in 7 days and Karan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Karan works three times as fast as Meera. Together they finish a job in 6 days. How many days would Meera take alone?
  11. 11.Ishaan works twice as fast as Pooja. Together they finish a job in 3 days. How many days would Pooja take alone?
  12. 12.Isha can finish a job in 4 days and Dev in 28 days. Isha works alone for 1 day and then stops. Dev finishes the rest. How many days does Dev take?
  13. 13.Farhan works twice as fast as Rohan. Together they finish a job in 11 days. How many days would Rohan take alone?
  14. 14.Tara works twice as fast as Kabir. Together they finish a job in 10 days. How many days would Kabir take alone?
  15. 15.Pooja can finish a job in 5 days and Isha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Tara works three times as fast as Aarav. Together they finish a job in 2 days. How many days would Aarav take alone?
  17. 17.Dev works twice as fast as Nisha. Together they finish a job in 7 days. How many days would Nisha take alone?
  18. 18.Isha and Pooja together finish a job in 2 days. Isha alone takes 4 days. How many days would Pooja take alone?
  19. 19.Manav can finish a job in 11 days and Pooja in 22 days. Manav works alone for 7 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  20. 20.Aditya can finish a job in 13 days and Kavya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Zoya can finish a job in 16 days and Dev in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Priya can finish a job in 20 days and Ananya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Saanvi works twice as fast as Priya. Together they finish a job in 6 days. How many days would Priya take alone?
  24. 24.Kavya can finish a job in 13 days and Priya in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  25. 25.Arjun and Rohan together finish a job in 4 days. Arjun alone takes 6 days. How many days would Rohan take alone?
  26. 26.Kavya and Aarav together finish a job in 6 days. Kavya alone takes 10 days. How many days would Aarav take alone?
  27. 27.Farhan works three times as fast as Zoya. Together they finish a job in 7 days. How many days would Zoya take alone?
  28. 28.Farhan can finish a job in 12 days and Arjun in 6 days. Farhan works alone for 6 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  29. 29.Priya can finish a job in 12 days and Ishaan in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  30. 30.Farhan can finish a job in 5 days and Arjun in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Isha can finish a job in 13 days and Manav in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Meera and Dev together finish a job in 6 days. Meera alone takes 9 days. How many days would Dev take alone?
  33. 33.Diya can finish a job in 13 days and Rahul in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  34. 34.Diya can finish a job in 18 days and Isha in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Tara can finish a job in 4 days and Meera in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Dev can finish a job in 11 days and Rahul in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Priya can finish a job in 4 days and Tara in 8 days. Priya works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
  38. 38.Meera and Aarav together finish a job in 2 days. Meera alone takes 4 days. How many days would Aarav take alone?
  39. 39.Dev and Arjun together finish a job in 6 days. Dev alone takes 8 days. How many days would Arjun take alone?
  40. 40.Tara can finish a job in 4 days and Diya in 22 days. Tara works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?

Answer key

  1. 12/7
  2. 5
  3. 35/153
  4. 27
  5. 24
  6. 18
  7. 10
  8. 33
  9. 126/25
  10. 24
  11. 9
  12. 21
  13. 33
  14. 30
  15. 30/11
  16. 8
  17. 21
  18. 4
  19. 8
  20. 156/25
  21. 48/7
  22. 15/2
  23. 18
  24. 64/247
  25. 12
  26. 15
  27. 28
  28. 3
  29. 13/84
  30. 35/12
  31. 28/65
  32. 18
  33. 19/26
  34. 342/37
  35. 12/7
  36. 21/110
  37. 6
  38. 4
  39. 24
  40. 11

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