the max speed of a fly-by-night airplane is 346 miles faster than a soaring wing airplane. The sum of their speeds is 889 miles per hour. What is the maximum speed of a fly-by-night airplane?

Speed of fly-by-night airplane is 617.5 miles per hour

Solution:

Given that,

The max speed of a fly-by-night airplane is 346 miles faster than a soaring wing airplane

Let "x" be the speed of saoring wing airplane

Then,

Speed of fly-by-night airplane = 346 + x

The sum of their speeds is 889 miles per hour

Therefore,

speed of saoring wing airplane + speed of fly-by-night airplane = 889

x + 346 + x = 889

2x + 346 = 889

2x = 889 - 346

2x = 543

x = 271.5

Thus speed of fly-by-night airplane = 346 + x = 346 + 271.5 = 617.5

Thus speed of fly-by-night airplane is 617.5 miles per hour