Question

Henry sends his hawk with a message to his uncle. The hawk flies out against the wind and returns with the wind, spending 3 hours on the whole trip. How far is Henry's uncle from Henry if the speed of the wind is 5 mph, and the hawk flies 50 mph in quiet weather?

Answer 1

Answer:

Distance between Henry and his uncle is 74.25km.

Step-by-step explanation:

Speed of Hawk with wind = 50+5

                                           =55km/hr

Speed of Hawk against wind = 50-5

                                               =45km/hr

we know that ,

        $Distance = speed \times time$

Let the distance between Henry and uncle is d,

According to the question ,

$\frac{d}{55} + \frac{d}{45} = 3$

$\frac{9d + 11d}{495} =3$

$20d = 3\times 495$

$d =\frac{3\times495}{20}$

d= 74.25km

Hence , the answer is 74.25km