Question

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?

Answer 1

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 = $1\frac{1}{3}$ hour

it takes the eagle  $1\frac{1}{3}$ 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 $1\frac{1}{3}$ hours :

miles        hours

  48      ⇒       1

  x        ⇒       $1\frac{1}{3}$

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

x = (48)($1\frac{1}{3}$ ) / 1

x = 64 miles