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A commercial jet and a private airplane flu from Denver to Phoenix. It takes the commercial jet 1.1 hours for the flight, and it takes the private plane 1.8 hours. The speed of the commercial jet is 210 miles per hour faster than the speed of the private airplane

2 Answers

4 votes

Final answer:

To find the speeds of a commercial jet and a private airplane, we can set up and solve an equation using the distance and time information provided in the question.

Step-by-step explanation:

The question is about the speeds of a commercial jet and a private airplane flying from Denver to Phoenix. Let's assume the speed of the private airplane is 'x' miles per hour. According to the question, the commercial jet is 210 miles per hour faster than the private airplane. So, the speed of the commercial jet is 'x + 210' miles per hour.

Now, we have the speeds of both planes. We can use the formula 'speed = distance / time' to calculate the distance. Since the time for the commercial jet is 1.1 hours and the time for the private airplane is 1.8 hours, the distances traveled by the commercial jet and the private airplane are '1.1(x + 210)' and '1.8x' miles, respectively.

Since both planes are traveling the same distance, we can set up the equation '1.1(x + 210) = 1.8x' to find the value of 'x'. Solving this equation will give us the speed of the private airplane. Once we have the speed of the private airplane, we can calculate the speed of the commercial jet by adding 210 to it.

User Ipj
by
3.4k points
3 votes

Answer: the speed of the commercial jet is 540 mph

the speed of the private airplane is 330 mph

Step-by-step explanation:

Let x represent the speed of the commercial jet and

Let y represent the speed of the private airplane.

It takes the commercial jet 1.1 hours for the flight from Denver to Phoenix.

Distance = speed × time

Therefore, distance covered by the commercial jet from Denver to Phoenix would be

1.1 × x = 1.1x

it takes the private airplane 1.8 hours to cover the same distance. The speed of the commercial jet is 210 miles per hour faster than the speed of the private airplane. It means that

y = x - 210

Distance covered by the private airplane would be

1.8(x - 210) = 1.8x - 378

Since the distance is the same, then

1.8x - 378 = 1.1x

1.8x - 1.1x = 378

0.7x = 378

x = 378/0.7 = 540

y = x - 210 = 540 - 210

y = 330

User Ramon Araujo
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3.2k points