Answer:
The rate of the single engine plane is 110 mph.
Step-by-step explanation:
Let the rate of single engine plane be n mph,
And the rate of twin engine plane will be n + 80 mph.
We know that, distance = speed x time.
Then, for twin engine plane
380 = (n + 80) x time taken
[tex]\text{{time taken}} = \frac{380}{n+80}[/tex]
And, for single engine plane
220 = n x time taken
[tex]\text{{time taken}} = \frac{220}{n}[/tex]
It is given that, both planes took same time.
Then, [tex]\frac{380}{n +80} = \frac{220}{n}[/tex]
380n = 220n + 220 x 80
380n – 220n = 17600
160n = 17600
[tex]n =\frac{17600}{160}[/tex]
n = 110
Hence, the rate of the single engine plane is 110 mph.
