Use two equations in two variables to solve the problem. an airplane can fly with the wind a distance of 800 miles in 8 hours. however, the return trip against the wind takes 10 hours. find the speed of the plane in still air and the speed of the wind.

p = plane's speed in calm air

w = wind's speed

p + w = speed across the ground of the plane flying with the wind

p - w = speed across the ground of the plane flying against the wind

NOTE : distance = speed × time

distance = 800 miles

800 = 8(p+w) :: given that it takes 8 hrs with the wind to travel 800 miles

800 = 10(p-w) :: given that it takes 10 hrs against the wind to travel 800 miles

so we have

8(p+w) = 800

10(p-w) = 800

.

8p + 8w = 800 ( 1 )

10p - 10w = 800 ( 2 )

Multiplying the first equation with 10 and the second with 8

80p + 80w = 8000

80p - 80w = 6400

.

160p = 14400

p = 14400 / 160

p = 90 ( this is the plane's speed )

Substitute this into any equation

( 80 ) ( 90 ) + 80w = 8000

7200 + 80w = 8000

80w = 800

w = 10

Wind speed = 10 miles per hours

plane speed = 90 miles per hour

Hope my answer helps!

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step-by-step explanation:

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∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.