Question

elena and jada are 12 miles apart on a path when they start moving toward each other. elena runs at a constant speed of 5 miles per hour, and jada walks at a constant speed of 3 miles per hour. how long does it take until elena and jada meet?

Explanation:

Step1: Determine combined speed

When moving toward each other, their speeds add. So combined speed \( v = 5 + 3 = 8 \) mph.

Step2: Use distance formula \( d = vt \)

We know distance \( d = 12 \) miles, speed \( v = 8 \) mph. Solve for time \( t \): \( t=\frac{d}{v}=\frac{12}{8} = 1.5 \) hours.

Answer:

1.5 hours