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2 years ago

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A commercial jet can fly 868 miles in 2 hours with a tailwind but only 792 miles in 2 hours into a headwind. Find the speed of t

he jet in still air and the speed of the wind.

2 answers:

erik [133]2 years ago

6 0

Answer:

The speed of the jet in still air is 415 mph and the speed of the wind is 19 mph

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

x -----> the speed of the wind in miles per hour

y ----> the speed of the jet in still air in miles per hour

we know that

<em>With a tailwind</em>

$y+x=\frac{868}{2}$

$y+x=434$ ----> equation A

<em>With a headwind</em>

$y-x=\frac{792}{2}$

$y-x=396$ ----> equation B

solve the system of equations A and B by elimination

Adds equation A and equation B

$y+x=434\\y-x=396\\------\\y+y=434+396\\2y=830\\y=415$

<em>Find the value of x</em>

$y+x=434$

$415+x=434$

$x=434-415$

$x=19$

therefore

The speed of the jet in still air is 415 mph and the speed of the wind is 19 mph

Inga [223]2 years ago

4 0

Answer:

The speed of the jet in still air is 415 mph and the speed of the wind is 19 mph

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