High School

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**Chapter 5, Exercise #13**

A "slow" clock falls behind at the same rate every hour. It is set to the correct time at 4:00 AM. When the clock shows 5:00 AM the same day, the correct time is 5:08 AM.

When the clock shows 10:30 AM that day, what is the correct time?

Answer :

Final answer:

To find the correct time when the clock shows 10:30 am, we can use the information given. The clock falls behind at the same rate every hour. When the clock shows 5:00 am, the correct time is 5:08 am. Therefore, when the clock shows 10:30 am, the correct time is 11:14 am.

Explanation:

To find the correct time when the clock shows 10:30 am, we can use the information given. The clock falls behind at the same rate every hour.

When the clock shows 5:00 am, which is one hour after the correct time at 4:00 am, the correct time is 5:08 am. Therefore, the clock is falling behind by 8 minutes every hour.

So, when the clock shows 10:30 am, it would actually be 10:30 am + 8 minutes/hour * 5.5 hours = 10:30 am + 44 minutes = 11:14 am. The correct time is 11:14 am when the clock shows 10:30 am.

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