A passenger jet can fly 804 miles in 2 hours with tailwind but only 776 miles in 2 hours into a headwind. Find the speed of the jet in still air and the speed of the wind

The jet goes 395 mph in still air, the wind speed is 7mph.

Step-by-step explanation:

Just average 402 and 388, giving you 395 (speed in still air). Then, find the difference between that speed and the headwind/tailwind speed (395-388=7) giving you 7 (the wind speed). The wind accelerated the jet by 7mph on the tailwind and deccelerates it by 7mph on the headwind.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: