Two points A and B move along the x-axis. After t sec, their positions are given by the equations A: $\quad x = 4 t + 120$
B: $\quad x = 30 t - 36$ At what time t do A and B have the same x-coordinate?
A) 7 sec
B) 6 sec
C) 5 sec

Question

Quizplus · Accepted Answer

To find the time at which A and B have the same x-coordinate, we need to set their equations equal to each other and solve for t:

4t + 120 = 30t - 36

26t = 156

t = 6

Therefore, after 6 seconds, A and B will have the same x-coordinate. Thus, the best choice is B.

Two Points a and B Move Along the X-Axis x=4t+120\quad x = 4 t + 120x=4t+120

Two Points a and B Move Along the X-Axis $\quad x = 4 t + 120$