Brian and Richard stand back-t0-back. Each boy takes 5 equally spaced steps, in opposite directions from the starting location. At this point, Richard walks to where Brian is in 9 steps. How many times bigger are Richard's steps than Brian's steps?

Question

Brian and Richard stand back-t0-back. Each boy takes 5 equally spaced steps, in opposite directions from the starting location. At this point, Richard walks to where Brian is in 9 steps. How many times bigger are Richard's steps than Brian's steps?

A. 4/5
B. 5/4
C. 7/4
D. 2

Answer 1

Please its urgent

Answer 2

To solve this problem, we can use ratios to compare the lengths of Richard's steps to Brian's steps.

Let's assume that Brian's step length is x.

Given that each boy takes 5 equally spaced steps, in opposite directions, the distance between them after 5 steps is 5x.

We are also given that Richard walks to where Brian is in 9 steps. This means that Richard covers a distance of 5x in 9 steps.

Now, we can set up a ratio to compare the lengths of Richard's steps to Brian's steps:

Richard's step length / Brian's step length = distance covered by Richard / distance covered by Brian

Let's substitute the values we know:

Richard's step length / x = 5x / 5x

Simplifying the right side:

Richard's step length / x = 1

Therefore, Richard's step length is equal to x.

So, Richard's steps are the same size as Brian's steps.

The correct answer is D. 2.

Answer 3

To solve this problem, let's first gather the information we have:

1. Brian and Richard stand back-to-back.
2. Each boy takes 5 equally spaced steps in opposite directions from the starting location.
3. Richard walks to where Brian is in 9 steps.

Now, let's assume that the distance of each equally spaced step is represented by 'x'.

Based on the information given, Brian takes 5 steps in one direction. Since he started back-to-back with Richard, Brian's total distance from the starting location after 5 steps will be 5 * x.

Richard, on the other hand, also takes 5 steps initially, but in the opposite direction. Therefore, Richard's total distance from the starting location after 5 steps will be -5 * x.

Given that Richard walks to where Brian is in 9 steps, we can set up an equation to represent this:

-5 * x + 9 * x = 0

Simplifying the equation, we get:

4 * x = 0

Dividing both sides by 4, we find:

x = 0

Now, we know that the distance of each equally spaced step, x, is 0. This means that Brian and Richard are not moving at all, which contradicts the given information.

Therefore, there is no solution to this problem, and we cannot determine how many times bigger Richard's steps are compared to Brian's steps.