Answer:
Explanation:
Nobody calls a plane a "Turbopropeller" it's a miss use of the word. :D It's always called a Turboprop. Next, math :D
c = car speed
p = plane speed
t = time
so we need to know the ratio of the speed of the turboprop plane compared to the speed of the car
p/c = ratio of plane to car speed
c/p = ratio of car to plane speed
750/150 = 5 that is, the plane is traveling 5 times the speed of the car
150 / 750 = 0.2 so the car is traveling 0.2 the speed of the plane
0.2 is also a fraction of 1/5 , which totally makes sense, right?
now let's put all the info together, we know that car went 150, and the plane went 750 miles , and that the plane is going 5 times faster than the car, so if we multiply the car speed by 5 we would have the planes speed
(c*t ) = 150
p*t = 750
we also know that the car plus 200 is the planes speed
c+200 = p
plug in our "p" into the 2nd equation
(c+200)t = 750
use the 1st equation to get "t"
t = 150/c
plug that into the 4th equation
(c+200)(150/c) = 750
can you solve it from here? :P
just in case,
150 +30,000/c = 750
30,000/c = 600
30,000/600 = c
50 = c
if the car's speed is 50 mph,
then the planes speed is 50+200 = 250 mph
This also works, b/c the car travels 3 hours to go 150,
and the plane travels 3 hours to go 750
we got it :P Turboprop :P