A bird leaves his nest and travels 20 miles per hour downward for x hours. On the return trip the bird travels 4 miles per hour slower and has six miles left after x hours. What is the distance of the entire trip? How long does the entire trip take

A. Distance= 60 Miles

B. 3.375

To find the distance of the entire trip, we can calculate the distance traveled during the first leg and the distance traveled during the return leg.

First, let's calculate the distance traveled during the first leg. We know that the bird travels 20 miles per hour downward for x hours. So, the distance during the first leg is:

Distance of first leg = Speed of the bird during the first leg * Time = 20 * x = 20x miles

Next, let's calculate the distance traveled during the return leg. We know that the bird travels 4 miles per hour slower than the first leg and has six miles left after x hours. So, the speed during the return leg is 20 - 4 = 16 miles per hour. The time for the return leg is the same as the time spent on the first leg, which is x hours. Therefore, the distance traveled during the return leg is:

Distance of return leg = Speed of the bird during the return leg * Time = 16 * x = 16x miles

To find the distance of the entire trip, we need to add the distance of the first leg and the distance of the return leg:

Total distance = Distance of first leg + Distance of return leg = 20x + 16x = 36x miles

So, the distance of the entire trip is 36x miles.

To find how long the entire trip takes, we need to consider the time for both the first leg and the return leg. Since the time for both legs is x hours each, the total time for the entire trip is:

Total time = Time of first leg + Time of return leg = x + x = 2x hours

Therefore, the entire trip takes 2x hours.

2/3

since distance = speed * time,

20x = (20-4)x + 6

and I think you meant "downwind"

the answer is

A) 60 miles

B) 3 hours 37 minutes 5 seconds
or just 3.375 hours