Question

A very strong wind is blowing over some mountains. Bella, the eagle, begins to fly home to bring food to the hatchlings in the nest. For every five hundred fifty meters Bella flies, she is blown back fifty meters by the wind. Bella's nest is five kilometers away. If bella flies five hundred fifty meters in one minute and begins at eleven thirty in the morning, what time will bella reach the nest?

Answer 1

11:40 in the morning

Explanation:

Given that for every 550 m, Bella the eagle flies, she is blown back fifty meters by the wind. Her nest is 5 km and she flies 550 m in 1 minutes.

Therefore for Bella to reach her nest which is 5 km (5000 m) away, the required distance (d) she needs to travel is:

d - (d/550)50 = 5000

d - 50d/550 = 5000

500d / 550 = 5000

d = (550 * 5000) / 500 = 5500

d = 5500 m = 5.5 km

speed = distance / time = 550 m / 1 minutes = 550 meters per minute

The time t required to cover 5500 m is:

speed = distance / time

550 meters per minute = 5500 m / t

t = 5500 m / 550 meters per minute

t = 10 minutes

If Bella lives at 11:30 am in the morning and then travels for 10 minutes to reach her nest, the time Bella will reach her nest is 11:40 am