Suppose a rescue helicopter is 700 feet above sea level descends 300 feet to search for debris or any other signs of a submarine
2 answers:
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Answer: (1) ; (2) 340 miles. See details below.
Explanation:
The key here is to know that given the speed and time traveled you can determine the (distance traveled) as (speed) x (time).
They want us to keep the time traveled for the first part of the journey as a variable, so let us do that. The speed during the first part is 65mph, so the distance for the first part is
Knowin that the total ride was 6 hours, the distance in the second part (with speed of 40 mph) is as follows:
So the total distance in terms of t is:
(this is the answer to the first question). Note that t can range form 0 to 6 hours but outside of this range the expression is not applicable.
If we know t=4 hours:
The answer to the second question is 340 miles.