Question

A small airplane flies 1015 miles with an average speed of 290 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 580 miles per hour.

Step-by-step explanation:

We use the following relation to solve this question:

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

In which v is the velocity, d is the distance and t is the time.

A small airplane flies 1015 miles with an average speed of 290 miles per hour.

We have to find the time:

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

$290 = \frac{1015}{t}$

$290t = 1015$

$t = \frac{1015}{290}$

$t = 3.5$

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

The time of the Boeing 747 is:

$t = 3.5 - 1.75 = 1.75$

Distance of $d = 1015$, the velocity is:

$v = \frac{d}{t} = \frac{1015}{1.75} = 580$

The average speed of the 747 was of 580 miles per hour.