Question 1203335
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Answer: <font color=red size=4>1129.3 feet  (approximate)</font>


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Explanation


I'll go over two methods. 


Method 1


We're given a speed in miles per hour (mph), and we want to determine the number of feet traveled in 35 seconds.


Let's convert from miles per hour to feet per second.


I'll use the railroad track conversion method.
{{{
drawing(400,400,-5,5,-5,5,
locate(-4.5,1,matrix(1,2,"22","mi")),
locate(-4.5,0.5,matrix(1,2,"1","hr")),

locate(-3-0.2,1,matrix(1,2,"5280","ft")),
locate(-3-0.2,0.5,matrix(1,2,"1","mi")),

locate(-2+0.7,1,matrix(1,2,"1","hr")),
locate(-2+0.7,0.5,matrix(1,2,"60","min")),

locate(0.2,1,matrix(1,2,"1","min")),
locate(0.2,0.5,matrix(1,2,"60","sec")),

line(-4.6,0.6,1.5,0.6),
line(-3.5,1,-3.5,0),
line(-1.5,1,-1.5,0),
line(0.1,1,0.1,0)
)
}}}
We have 22 miles over 1 hour in the first column
Each subsequent column is one of the equivalences below
5280 ft = 1 mile
1 hour = 60 min
1 min = 60 sec
Take note how I placed each unit so we have "miles", "hours", and "minutes" cancel out. 
The goal is to be left with "feet" up top and "seconds" down below.


Multiply straight across the numerators to get: 22*5280*1*1 = 116,160
Do the same for the denominators: 1*1*60*60 = 3600
Divide the results: 116160/3600 = 32.2666666666667 approximately


Therefore, 22 mph = 32.2666666666667 feet per second approximately


Similar conversion questions
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and
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Then,
distance = rate*time
distance = (32.2666666666667 feet per sec)*(35 sec)
distance = 1129.33333333333 feet approximately
distance = <font color=red size=4>1129.3 feet approximately</font> when rounding to the nearest tenth of a foot.


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Method 2


1 hour = 60 min
1 min = 60 seconds
1 hour = 60*60 = 3600 seconds
1 second = 1/3600 of an hour
35 seconds = 35/3600 of an hour = 7/720 of an hour


distance = rate*time
distance = (22 mph)*(7/720 of an hour)
distance = 0.21388888888889 miles approximately


Then we convert from miles to feet.
1 mile = 5280 feet
0.21388888888889*1 mile = 0.21388888888889*5280 feet
0.21388888888889 mile = 1129.33333333333 feet approximately
0.21388888888889 mile = <font color=red size=4>1129.3 feet approximately</font>


Whichever method you use, be very careful about your units.
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