Question

A glider begins its flight 3/4 mile above the ground. After 45 minutes, it is 3/10 mile above the ground. Find the change in height of the glider. If it continues to descend at this rate, how long does the entire descent last?

Answer 1

1 hour 15 Minutes

Explanation:

The glider begins its flight
`(3)/(4)` mile above the ground.

Distance above the ground after 45 minutes =
`(3)/(10) \:mile`

Change in height of the glider

`=(3)/(4)-(3)/(10) \\\\=(15-6)/(20)\\\\=(9)/(20) miles`

Next, we determine how long the entire descent last.

Expressing the distance moved as a ratio of time taken

`(9)/(20) \:miles : 45 \:minutes\\\\(3)/(10)\:miles:x \:minutes\\\\x=45X(3)/(10)/(9)/(20) =30 Minutes`

Therefore: Total Time taken =45+30=75 Minutes

=1 hour 15 Minutes