Question

It takes billy 6 minutes to walk 1.5 km. How long will it take billy to walk 9km?

Answer 1

Answer:

$\boxed{\tt 36 \ minutes}$

Step-by-step explanation:

Let's make a proportion using the following setup:

$\frac{minutes}{kilometers} =\frac{minutes}{kilometers}$

We know it takes Billy 6 minutes to walk 1.5 kilometers.

$\frac{6\ minutes}{1.5\ kilometers} =\frac{minutes}{kilometers}$

We don't know how long it takes him to walk 9 kilometers, so we can say it takes him x minutes to walk 9 kilometers.

$\frac{6\ minutes}{1.5\ kilometers} =\frac{x\ minutes}{9\ kilometers}$

$\frac{6}{1.5} =\frac{x}{9}$

Now, solve for x. To do this, isolate x on one side of the proportion. x is being divided by 9. The inverse of division is multiplication. Multiply both sides of the proportion by 9.

$9*\frac{6}{1.5} =\frac{x}{9}*9$

$9*\frac{6}{1.5} =x$

$9*4=x$

$36=x$

x= 36 minutes

It will take Billy 36 minutes to walk 9 kilometers.

Answer 2

Answer:

It will take Billy 36 minutes to walk 9km.