Question

A turtle lives in a garden and a hedgehog lives in the woods. They leave their homes at the same time walk toward each other and meet in 5 hours. The turtle walks 10 meters per hour slower than the hedgehog. If the turtle had left home 4 1/2 hours earlier than the hedgehog had left his home, the two would meet 150m from the woods. Find the distance between the garden and the woods.

Answer 1

Answer:

450

Step-by-step explanation:

450

Answer 2

The distance between the garden and the woods is 450m.

We have given that,

A turtle lives in a garden and a hedgehog lives in the woods.

They leave their homes at the same time walk toward each other and meet in 5 hours.

x- the speed in which the turtle walks

What is the distance between the garden and the woods?

Let's define the speeds of the animals as:

x = speed of the turtle.y = speed of the hedgehog.

5x+5(x+10)=4.5x+150+x*(150)/(x+10)

after solving this equation we get,

x=40, x=-50/11,

Here the x has a negative value then it is not true.

Because the speed is not negative.

So the turtle's speed is 40 meters per hour.

After that, We just plugged in x onto one of the expressions and got 450m.

Therefore, The distance between the garden and the woods is 450m.

To learn more about the speed visit:

https://brainly.com/question/4931057

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