Answer:
A). 30 miles
B). 3 hours 0 minutes 0 seconds
Step-by-step explanation:
Let's assume that the distance is y and the time to be x
Speed= distance/time
If the bird traveled at a speed of 20mph,it will be
20 = y/x
Y = 20x______ equation 1
And on the Bird's return it took it flew at a speed 4 miles per hour slower and had 6 miles left to cover after x hours
20 - 4 = (y - 6)/x
16 = (y - 6) /x_____ equation 2
From equation 1 which is y = 20x,substitute into equation 2
16 = (20x - 6)/x
Cross multiply the above and we have
16x = 20x - 6
Collect like terms
20x - 16x = 6
4x = 6
X = 6/4
X = 3/2 or 1½ hours or 1 hour 30 minutes for the trip away from the nest
Substitute in equation 1 and we have
20x = y
20 × 1½ =y
Y = 60/2
Y = 30 miles is the distance from the nest to the birds destination prior to it's return
The entire trip took 3 hours since we have to calculate the "going and coming back" of the bird.
And the distance is 60 miles.
