Question

A small airplane flies 750 miles with an average speed of 250 miles per hour. 1.75 hours after the plane leaves, a Boeing 747 leaves from the same point. Both planes arrive at the same time; what was the average speed of the 747?

Answer 1

Answer:

The average speed of the 747 was of 600 miles per hour.

Step-by-step explanation:

A small airplane flies 750 miles with an average speed of 250 miles per hour.

Velocity is distance divided by time, and here, we find the time of the small airplane. So

$v = \frac{d}{t}$

$250 = \frac{750}{t}$

$250t = 750$

$t = \frac{750}{250}$

$t = 3$

1.75 hours after the plane leaves, a Boeing 747 leaves from the same point. Both planes arrive at the same time;

This means that it traveled 750 miles in 3 - 1.75 = 1.25 hours.

What was the average speed of the 747?

$v = \frac{d}{t} = \frac{750}{1.25} = 600$

The average speed of the 747 was of 600 miles per hour.