Question

A plane flew at a constant speed and traveled 762 miles in 5 hours.

Answer 1

ANSWER

The plane will travel

$457.2 \: miles.$
in 3 hours.


EXPLANATION

It was given that, the plane traveled at a constant speed and covered 762 miles in 5 hours.

So we can write the ratio,

$5:762$
Let
$x$
be the distance covered by the plane in 3 hours at the same speed.

Then we can again write the ratio,

$3:x$


We can now write the proportional relation,

$5:762 = 3:x$

We rewrite the ratios as fractions to obtain,

$\frac{5}{762} = \frac{3}{x}$

We cross multiply to get,

$5x = 3 \times 762$



We divide both sides by 5 to get,

$x = \frac{3 \times 762}{5}$



$x = 3 \times 152.4$
This simplifies to,

$x = 457.2 \: miles.$

Answer 2

The plane is moving at 152.4 mph. In 3 hours, the plane would have traveled 457.2 miles