The average speed of a golden eagle is 30 mph and the average speed of a peregrine falcon is 48 mph. How far will the peregrine falcon fly in the time it takes the eagle to fly 40 miles?

Respuesta :

Answer:

64 miles

Step-by-step explanation:

first we need to find how much time it takes the eagle to fly 40 miles:

speed of the eagle: 30 mph

this can be represented as follows:

miles        hours

  30      ⇒       1

and since we want to know the time to fly 40 miles (that time is x):

miles        hours

  30      ⇒       1

  40      ⇒       x

we use the rule of three which is to multiply the cross quantities on the table and divide by the remaining quantity:

x = 40(1)/30

x = [tex]1\frac{1}{3}[/tex] hour

it takes the eagle  [tex]1\frac{1}{3}[/tex] hours to fly 40 miles.

Now we use the velocity of the falcon: 48mph, which can also be represented as:

miles        hours

  48      ⇒       1  

and we need the distance in miles that the falcon fly in [tex]1\frac{1}{3}[/tex] hours :

miles        hours

  48      ⇒       1

  x        ⇒       [tex]1\frac{1}{3}[/tex]

again we use the rule of three (multiply cross quantities and divide by the remaining quantity)

x = (48)([tex]1\frac{1}{3}[/tex] ) / 1

x = 64 miles