bella5112
contestada

You can ride your bike around your block four times and the whole neighborhood four times in 16 minutes. You can ride your bike around your block eight times and the whole neighborhood once in 11 minutes. How long does it take you to ride around the neighborhood?

Respuesta :

3 minutes to ride around the neighborhood

Say the amount of time it takes to ride around the block once is x, and the amount of time it takes to ride around the neighborhood is y. Using this,

4x+4y=16 minutes total.

You can simplify this to:

x+y=4

by dividing both sides by 4.

From the second part of the question,

8x+y=11 minutes total.

Subtracting x+y=4 from 8x+y=11, we can get rid of the y, and get:

7x=7

x=1.

Plugging this into x+y=4,

1+y=4,

y=3 minutes total.

So it takes 3 minutes to ride around the neighborhood.

Hope that helps!

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