Question

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 224 miles per hour​

Answer 1

Maximum speed of bird A is
`192\,\,(mi)/(h)`

Maximum speed of bird B is
`32\,\,(mi)/(h)`

Explanation:

This is a problem with two unknowns: Max speed of bird A (we name that "A"), and max speed of bird B (we call that "B"). Now we can create two equations with these two unknowns, based on the info provided:

Equation 1): based on the phrase "bird A can travel six times as fast as bird B" we write:

`A=6\,*\, B\\A=6B`

Equation 2): based on the phrase; "the total speeds for these two birds is 224 miles per hour​", we write:

`A+B=224\,\,(mi)/(h)`

Now, we use the first equation to substitute A in the second equation, ad then solve for the unknown B:

`A+B=224\,\,(mi)/(h)\\(6B)+B=224\,\,(mi)/(h)\\7B=224\,\,(mi)/(h)\\B=(224)/(7) \,\,(mi)/(h)\\B=32\,\,(mi)/(h)`

Now we can solve for the other unknown "A" using the substitution equation and the value of B we just found:

`A=6B\\A=6\,(32\,\,(mi)/(h))\\A=192\,\,(mi)/(h)`