A bird leaves its nest and travels 18 miles per hour downwind for 2 hours. On the return trip, the bird travels 3 miles per hour slower and has 5 miles left after 3 hours.

a. What is the distance of the entire trip?

miles

b. How long does the entire trip take?

hours

minutes and

seconds

Step-by-step explanation:

Let y represent the distance travelled downwind by the bird from its nest.

Distance = speed * time

A bird leaves its nest and travels 18 miles per hour downwind for 2 hours. Distance covered in travelling downwind is

2 * 18 = 36 miles

On the return trip, the bird travels 3 miles per hour slower and has 5 miles left after 3 hours. It means that the speed at which the bird travelled is 18 - 3 = 15 mph. Also, the distance covered in 3 hours is 36 - 5 = 31 miles. Therefore,

a) distance of the entire trip is

36 + 36 = 72 miles

b) time spent in travelling downwind from its nest is 2 hours

Time for the return part is

3 hours + 5/15 = 3 + 1/3 * 60 minutes

= 3 hours 20 minutes

Total time for the trip is

2 hours + 3 hours 20 minutes

= 5 hours 20 minutes 0 seconds