a The distance between Room 103 and Room 117 is from the center of 103 in the picture to the center of 117 in the picture. We will call Room 103 point S and Room 117 point T.
The length between Room 103 and Room 121 is 86 ft. The distance between Room 119 and Room 121 is 22 ft. With this information, we can use the Segment Addition Postulate to find the length ST.
You'll have to travel 64 ft to get from Room 103 to Room 117.
b We are told that our speed is 4.4 feet per second. From the previous exercise, we calculated the distance to Room 117 to be 64 ft. To find know many minutes it will take, we can start by calculating how many seconds it will take. We will do that by dividing the distance by the speed.
4.4sec64ft
However, we were asked to find the number of minutes it will take. Since one minute equals 60 seconds, we will use this conversion rate to finish our unit analysis.
4.4sec64ft⋅1min60sec≈0.24
It will take about 0.24 minutes to get to Room 117.
c Distance and speed both affect the time it takes to get somewhere. If you increase the distance or reduce the speed, it will take more time to get to Room 117. For example, if you have to carry a heavy bag or if you decide to stop and chat with your friends, you will get slowed down.
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