Question

The distance Ruben travels can be calculated as (5x +5) and the distance Jaedon walks can be calculated as (14+2x). What is the value of x, if they traveled the same distance?

A)2
B)7
C)4
D) 3

Answer 1

The value of x for which Ruben and Jaedon travel the same distance is found by setting their distance equations equal and solving for x. The correct value of x is 3, corresponding to answer choice D.

Step-by-step explanation:

To find the value of x if Ruben and Jaedon traveled the same distance, we set their distance expressions equal to each other and solve for x.

Ruben's distance: (5x + 5)
Jaedon's distance: (14 + 2x)

The equation to solve is: 5x + 5 = 14 + 2x.

• Step 1: Subtract 2x from both sides to get 3x + 5 = 14.
• Step 2: Subtract 5 from both sides to get 3x = 9.
• Step 3: Divide both sides by 3 to get x = 3.

So the value of x when both travel the same distance is 3, which corresponds to answer choice D).