Answer:
The faster plane is 205 mph and the slower plane is 175 mph
Step-by-step explanation:
that is you answer
When the two bodies travel at the same direction, the relative speed of the two bodies is the sum of the speed of both the bodies.The speed of the plane is 205 and 175 miles per hour.
The distance between the planes is 380 miles.
The speed of the one plane is 30 miles per hour faster than other.
Both the planes travels the distance of 380 miles in 1 hour.
When the two bodies travel at the same direction, the relative speed of the two bodies is the sum of the speed of both the bodies.
Suppose the speed of the speed of the faster plane is x miles per hour, then the speed of the other plane is (x-30) miles per hour.
As both the plane covets the distance of 380 miles in one hour thus the relative speed of both the plane is 380 miles per hour.
By the definition of the relative speed,
[tex]\begin{aligned}\\ x+x-30&=380\\ 2x&=380+30\\ x&=\dfrac{410}{2}\\ x&=205\\ \end[/tex]
Thus the speed of the faster plane is 175. The other plane is 30 miles slower than the faster one. Thus the speed of the other plane is,
[tex]=205-30=175[/tex]
Thus the speed of the plane is 205 and 175 miles per hour.
Learn more about the relative speed here;
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