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kodGreya [7K]
3 years ago
10

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.
Mathematics
2 answers:
astra-53 [7]3 years ago
8 0

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 = 2x-162

Equation forms:

10x=8(2x-162)

Solving for x;

10x=16x-1296

=> 10x-16x=-1296

=> -6x=-1296

So, x =216

Hence, the speed of private jet is = 216 mph

The speed of commercial jet is = 2(216)-162 = 270 mph

Vladimir [108]3 years ago
4 0
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)
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Step-by-step explanation:

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3n=2d

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Cross multiply , We get,

4{n+2}={3}{d+2}

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3d-4n=2  .......(3)

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Adding (4) and  (5) , we get,

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⇒ n = 4

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so, the numerator is 4 and  the denominator is 6.

Thus, the fraction is \frac{4}{6}


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