Answer:
The change in height is 6/10 miles per hour and the entire descent will last 150 minutes (2 hours and 30 minutes)
Step-by-step explanation:
The gilder started 1 1/2 miles above the ground, in other words, it started [tex]\frac{15}{10}[/tex] miles above the ground. After 60 minutes it is now [tex]\frac{9}{10}[/tex] miles above the ground.
Therefore, the change in height in one hour is: [tex]\frac{15}{10}-\frac{9}{10}= \frac{6}{10}[/tex] miles.
Now, we know that the glide descends at a rate of 6/10 miles per hour, we can solve the second part of the problem using the rule of three (or proportions)
If it takes it 60 minutes to descend 6/10 miles, how long it will take it to descend 15/10 miles?
60 minutes --- 6/10= .6
x minutes ---- 15/10= 1.5
Therefore [tex]x=\frac{60(1.5)}{.6} =\frac{90}{0.6} =150[/tex] minutes
Thus, the entire descent will last 150 minutes.