Answer :
Final answer:
To find the distance the child will crawl in 823 seconds, convert the crawling pace from inches per minute to meters per second. Multiply the speed by the time to get the distance crawled in meters.
Explanation:
To find the number of meters the child will crawl in 823 seconds, we need to first determine the child's crawling speed in meters per second. We can do this by converting the given crawling pace from inches per minute to meters per second.
First, we convert the crawling pace to inches per second:
176 inches ÷ 3.37 minutes = 52.22 inches per minute
Next, we convert inches per minute to inches per second:
52.22 inches ÷ 60 seconds = 0.87 inches per second
Finally, we convert inches per second to meters per second by dividing by the conversion factor of 39.37 inches per meter:
0.87 inches ÷ 39.37 inches/meter = 0.022 meters per second.
Now that we know the child's crawling speed is 0.022 m/s, we can find the distance crawled in 823 seconds by multiplying the speed by the time:
0.022 m/s x 823 s = 18.106 meters.
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The child crawled 18 meters in 823 seconds.
Given:
A child is crawling at a pace of 176 inches every 3.37 minutes.
To find:
The distance covered (in meters) by a child in 823 seconds.
Solution:
Distance covered by a child in 3.37 minutes = 176 inches
Distance covered by a child in a 1 minute = [tex]\frac{176 inches}{3.37}[/tex]
1 minute = 60 seconds
Distance covered by a child in 60 seconds = [tex]\frac{176 inches}{3.37}[/tex]
Distance covered by a child in a 1 second:
[tex]=\frac{176 inches}{3.37}\times \frac{1}{60}[/tex]
Distance covered by a child in 823 seconds:
[tex]=\frac{176 inches}{3.37}\times \frac{1}{60}\times 823=716.36 inches[/tex]
In 1 meter there are 39.37 inches.
[tex]1 meter=39.37 inches\\1 inches=\frac{1}{39.37} meters\\716.36 inches=\frac{716.36 inches}{39.37} m=18.1956 m\approx 18 m[/tex]
The child crawled 18 meters in 823 seconds.
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