Points on a Number Axis

Points A and B on a number line represent real numbers $m$ and $n$, respectively. If the distance between A and B is given by $|m - n| = 5$, and both points start moving simultaneously in the same direction with different velocities, which expression represents the distance between the two points after $t$ seconds if A's velocity is $v_A$ and B's velocity is $v_B$?

Given that points A and B are on a number line with coordinates $m$ and $n$ respectively, such that $|m - n| = 5$. If both points move in the same direction, and point A moves faster than point B, what can be said about the distance between A and B as time $t$ increases?

Points A and B are located on a number line at coordinates $m$ and $n$, respectively. The distance between them is $|m - n| = 5$. If both points begin moving simultaneously at time $t = 0$ in the same direction, and after some time $t$ the distance between them is 12, which equation could model this scenario, assuming $v_A$ and $v_B$ are the velocities of A and B respectively?

Suppose points A and B on a number line have coordinates $m$ and $n$ respectively, with $|m - n| = 5$. They move in the same direction with different speeds. If after time $t$, the distance between them is the same as the initial distance, what can we infer about their velocities?

Points A and B are on a number line at coordinates $m$ and $n$ with $|m - n| = 5$. If A and B start moving towards the same direction such that their distance remains constant, and the velocity of A doubles, what happens to the velocity of B?

Given two points, A and B, on a number line with an initial separation of 5 units. If they move in the same direction with velocities $v_A$ and $v_B$ respectively, and $v_A > v_B$, what does the expression $(v_A - v_B)t$ represent?

Points A and B, initially 5 units apart on a number line, start moving simultaneously in the same direction. If the distance between them increases at a rate of 2 units per second, which of the following equations correctly describes the distance $D$ between them at time $t$?

Consider two points, A and B, on a number line initially separated by a distance of 5 units. Both points move in the same direction. If after $t$ seconds, the distance between them is given by $|5 + (v_A - v_B)t|$, what condition must be true if the distance between them remains constant at 5 units?

If points A and B on a number line are initially 5 units apart and start moving in the same direction, how would you determine the time $t$ at which their distance doubles, given their velocities $v_A$ and $v_B$?

Points A and B are on a number line, 5 units apart. They move in the same direction. Which scenario would result in the distance between points A and B decreasing over time?