This question is an illustration of the distance postulate.
<h3>What is distance postulate ?</h3>
The distance between any two different points equates to a single positive real integer, according to the postulate of distance.
The full text is: The distance is a positive unique integer between every pair of different locations.
Consider two separate points A and B as an example.
The distance between A and B is the integer that represents the size of A and B.
The positive number (i.e. the distance) between A and B would be:
d= B-A
d = 6 - 1
d = 1
Read more about distance postulate at:
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Answer:252 miles
Explanation:
Given
During his way to mountain it took 7 hr to drive
and during his return trip it took 4 hr to return
Let x be the distance between home and mountain
average speed for return is 27 miles per hour faster than his former trip
let v be the speed on his way to mountain thus v+27 is his return speed
thus
----1
for return trip
-----2
divide 1 & 2




thus 
I notice that even though we're working with frames of reference
here, you never said which frame the '5 km/hr' is measured in.
In fact ! You didn't even say which frame the '12 km/hr' of his
bike is measured in.
So there are several different ways this could go. I'll do it the way
I THINK you meant it, but that doesn't guarantee anything.
-- Simon is riding his bike at 12 km/hr relative to the sidewalk,
away from Keesha.
-- He throws a ball at Keesha, at 5 km/hr relative to his own face.
-- Keesha sees the ball approaching her at (12 - 5) = 7 km/hr
relative to the ground and to her.
-Slow down
-Speed up
-Turning
Hope this helps
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