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The show johnny want to binge is 61 episodes long, it takes him 5 hours to complete 12 episodes, and 10 hours to complete 24 episodes. If johnny were to watch 12 episodes a day, how many days would it take johnny to finish the show?

User Fardin
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7.6k points

2 Answers

5 votes

Answer:

6 days

Step-by-step explanation:

This is an easy problem if you think about it. Let’s start by identifying unnecessary information. I’ll go ahead and point this out: we don’t need to know how long it takes Johnny to watch the episodes. The question already says he’s only watching 12 episodes per day, so the time information is useless. If you rewrite the problem with only message information, you get something like this:

“The show Johnny wants to binge watch is 61 episodes long. If Johnny were to watch 12 episodes a day, how many days would it take him to finish the show?”

That makes it seem so much easier! Let’s start by dividing the show into sets of 12 episodes. 61 divided by 12 is 5 R1. Since he needs another day to finish the show, even if he only watches one episode, the answer is 6 days.

User Gaket
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8.1k points
6 votes

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.

User Chandresh Mishra
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8.2k points