Question

NEED ANSWER ASAP PLEASE

Answer 1

Answer:

After 1 hour and 24 minutes.

Step-by-step explanation:

The turtle.

• It gets 7 kilometers head start.
• Its speed is 2 kilometers per hour.

The rabbit.

• It doesn't get any head start.
• Its speed is 7 kilometers per hour.

We know that, $v_{turtle} = 2km/hr$ and $v_{rabbit}= 7km/hr$

Assuming both have a constant movement, we define each one with

$d=vt$

$d_{rabbit}=v_{rabbit}t$ and $d_{turtle}=v_{turtle}t$, replacing values, we have

$d=7t$ which is the distance of the rabbit, and we know the turtle's is +7, so

$d=2t+7$.

Now, we substute the first equation into the second one,

$7t=2t+7\\7t-2t=7\\5t=7\\t=\frac{7}{5}hr$

If we divide, we'll have a mixed number

$t=\frac{7}{5}=1\frac{2}{5}= 1 \ hr \ 24 \ min$

Therefore, the time they will meet is after 1 hour and 24 minutes.

Answer 2

I don't get how it would be a system of equations.