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A private jet flies the same distance in 10 hours that a commercial jet flies in 8 hours. If the speed of the commercial jet was 162 mph less than 2 times the speed of the private jet, find the speed of each jet.

Respuesta :

ankastre
Commercial jet's speed = 2x-162 (plug this in the equation below)

Private jet's speed = x

Equation:

10(x) = 8(2x-162)
10x = 16x - 1296
6x = 1296
x = 216 (Private jet's speed)

Take the first equation and plug x value in;
2x-162
2(216) - 162 = 270 ( Commercial jet's speed)

Answer:

The speed of private jet is 216 mph.

The speed of commercial jet is 270 mph.

Step-by-step explanation:

Let the speed of private jet be x mph.

Then the speed of commercial jet will be = [tex]2x-162[/tex]

Equation forms:

[tex]10x=8(2x-162)[/tex]

Solving for x;

[tex]10x=16x-1296[/tex]

=> [tex]10x-16x=-1296[/tex]

=> [tex]-6x=-1296[/tex]

So, x =216

Hence, the speed of private jet is = 216 mph

The speed of commercial jet is = [tex]2(216)-162[/tex] = 270 mph

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