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A private jet flies the same distance in 10 hours that a commercial jet flies in 7 hours. if the speed of the commercial jet was 144mph less than 2 times the speed of the private jet, find the speed of each jet.

Answer :

The speed of private jet is = 252 mph

The speed of commercial jet is =  360 mph

What is speed ?

  • Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement.
  • Put another way, speed is a scalar value, while velocity is a vector.

Let the speed of private jet be x mph.

Then the speed of commercial jet will be = 2x - 144

Equation forms:

10x = 7 ( 2x - 144 )

Solving for x

10x = 14x - 1008

⇒ 10x - 14x =  - 1008

⇒ - 4x = - 1008

⇒ x = 252

So, x = 252

Hence, the speed of private jet is = 252 mph

The speed of commercial jet is =  = 2(252) - 144 = 360 mph

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