A bird of species A, when diving, can travel six times as fast as a bird of species B top speed. If the total speeds for these
two birds is 259 miles per hour, find the fastest speed of the bird of species A and the fastest speed of the bird of species B.

What is the fastest speed of the bird species B in miles per hour and the fastest speed of the bird of species A in miles per hour

Respuesta :

Answer:

  • 37 mph, 222 mph

Step-by-step explanation:

Let the speed of bird of species A is x and speed of B is y.

The equations:

  • x + y = 259
  • x = 6y

Substitute and solve for y:

  • 6y + y = 259
  • 7y = 259
  • y = 259/7
  • y = 37

Find x:

  • x = 6*37 = 222

[tex]x[/tex]will be the speed of species b and [tex]4x[/tex] will be the speed of species a:

[tex]x + 4x = 180[/tex]

[tex]5x = 180[/tex]

[tex]x = \frac{180}{5}[/tex]

[tex]x = 36 \: m/h[/tex]

If species b has a speed of [tex]36 [/tex]m/h, the speed of species a is [tex]4[/tex]times that:

[tex]4 \times 36 = 144 m/h[/tex]

Answer :—

[tex]A = 36 \: m/h [/tex]

[tex]B = 144 \: m/h[/tex]