Final answer:
Johnny would take approximately 5 days to finish the show if he watches 12 episodes per day.
Step-by-step explanation:
To determine how long it would take Johnny to finish the show if he watches 12 episodes a day, we need to find out how long it takes him to complete 1 episode. We can do this by finding the average time it takes him to complete each episode.
First, we calculate Johnny's average time per episode:
Average time per episode = (Time taken to complete 24 episodes - Time taken to complete 12 episodes) / (24 - 12)
= (10 hours - 5 hours) / (24 - 12) = 5 hours / 12 = 0.42 hours (rounded to 2 decimal places)
Since Johnny takes 0.42 hours to complete 1 episode, we can calculate how many days it would take him to finish the show by dividing the total number of episodes (61) by the number of episodes watched per day (12) and then multiplying by the average time per episode:
Total time to finish the show = (Total number of episodes / Episodes watched per day) * Average time per episode
= (61 / 12) * 0.42 hours = 5.08 hours
Therefore, it would take Johnny approximately 5.08 (rounded to 2 decimal places) or 5 days to finish the show if he watches 12 episodes per day.