A plane traveled 828 miles to shanghai and back. the trip there was with the wind it took 9 hours. the trip back was into the wind the trip back took 23 hr. what is the speed of the plane still in the air what is the speed of the wind

24 mph

Step-by-step explanation:

Plane speed =x mph

Wind speed =y mph

against wind x-y 18.00 hours

with windx+y 9.00 hours

Distance = same= 864 miles

t=d/r

864 / ( x - y )= 18.00

18 ( x - y ) = 864.00

18 x -18 y = 864 1

864 / ( x + y )= 9.00

9.00 ( x + y ) = 864

9.00 x + 9.00 y = 864 2

Multiply (1) by 1.00

Multiply (2) by 2.00

we get

18 x + -18 y = 864

18 x + 18 y = 1728

36 x = 2592

/ 36

x = 72 mph

plug value of x in (1)

18 x -18 y = 864

1296 -18 y = 864

-18 y = 864 -1296

-18 y = -432

y = 24 mph

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value