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