A truck going 50 miles per hour set out on a 200-mile delivery at 6:00 A. M.
Exactly half an hour later, a car left from
the same place and traveled in the same
direction as the truck. What was the speed
of the car, in miles per hour, if it caught up
to the truck at 8:00 A. M.? Round your
answer to the nearest tenth.

c. 1,233 miles

just took the test and my answers down below!

step-by-step explanation:

check the pic :

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough