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Time and Work Worksheet

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

Answer key

  1. 60/17
  2. 19/20
  3. 4/15
  4. 21
  5. 21
  6. 19/44
  7. 6
  8. 12
  9. 28
  10. 30
  11. 60
  12. 32/247
  13. 6
  14. 15
  15. 6
  16. 12/7
  17. 36
  18. 24
  19. 15
  20. 21
  21. 12
  22. 26/15
  23. 24
  24. 16
  25. 28
  26. 14
  27. 2
  28. 66/17
  29. 60
  30. 133/26
  31. 10/3
  32. 21
  33. 6
  34. 6
  35. 13/40
  36. 4
  37. 14
  38. 36
  39. 13/14
  40. 85/22

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