Hello, Twan!

Beth can walk six miles in the same time she can bike 32 miles.

If her biking rate is one more than five times her walking rate, how fast does she walk?

We will use: .

Let: .

She walks 6 miles at mph.

. . This takes her: . hours.

She bikes 32 miles at mph.

. . This takes her: . hours.

These times are equal: .

Now solve for

Zack is standing near an 8-foot street lamp.

His distance from the base of the lamppost is two feet more than his height.

The length of his shadow is four times his height.

How tall is Zack? Code:

C *
| *
| * A
| o
8 | | *
| h| *
| | *
* - - - - - o - - - - - - - *
D h+2 B 4h E

Zack is

The street lamp is

We are told that: .

We see that:

From the similar right triangles: .

We have: .

Therefore: . . . . Zack is 6 feet tall.