Question

A bird of species A, when diving, can travel three times as fast as a bird of species B top speed. If the total speeds for these two birds is 140 miles per hour, find the fastest speed of the bird of species A and the fastest speed of the bird of species B.The fastest speed of the bird of species B is _ mph The fastest speed of the bird of species A is _ mph

Answer 1

We will have the following:

*First: We write the expressions described in the problem:

`A=3B`
`A+B=140`

*Second: We replace the first expression in the second and solve for B:

`(3B)+B=140\Rightarrow4B=140`
`\Rightarrow B=35`

So, the fastest speed for bird B is 35 mph.

Now, using this information we determine the speed of bird A:

`A=3(35)\Rightarrow A=105`

So, the fastest speed for bird A is 105 mph.