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

64 miles

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(1)/(3)` hour

it takes the eagle
`1(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(1)/(3)` hours :

miles hours

48 ⇒ 1

x ⇒
`1(1)/(3)`

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

x = (48)(
`1(1)/(3)` ) / 1

x = 64 miles