Question

A private jet flies the same distance in 12 hours that a commercial jet flies in 8 hours. If the speed of the commercial jet was 88mph less than 2 times the speed of the private jet, find the speed of each jet.

Answer 1

The speed of the private jet is 48 mph and the speed of the commercial jet is 8 mph.

Step-by-step explanation:

Let's assume the speed of the private jet is x mph.

According to the question, the private jet flies the same distance in 12 hours that the commercial jet flies in 8 hours.

So, the speed of the commercial jet is 88 mph less than 2 times the speed of the private jet. We can write this as: 2x - 88 mph.

Since distance = speed x time, we can set up the equation:

x * 12 = (2x - 88) * 8

Solving this equation, we find that x = 48 mph. Therefore, the speed of the private jet is 48 mph and the speed of the commercial jet is 2x - 88 = 2 * 48 - 88 = 8 mph.

Answer 2

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)