# Question #83f7e

##### 1 Answer

#### Answer:

They will meet at a point **X** 118 m from where A started after 17 s.

#### Explanation:

**A** **X****B**

We use the fact that both runs share the same time t.

We have 3 unknowns and we can set up 3 simultaneous equations to solve them.

We know that average velocity = distance travelled / by the time taken.

and we know that:

Substituting this into

From

Substituting this into

This is the time taken for the runners to meet.

Rearranging

This is the distance from point A where they meet.

Check the distance that B has run:

As you would expect runner A covers more distance than runner B as he/she is running faster.