[Math] How to calculate the time two people will meet if they are paddling towards each other on a lake

algebra-precalculusphysics

Here's the question I'm having trouble with. Ken and Kara are 30 miles apart on a calm lake paddling towards each other. Ken paddles at 4 mph, while Kara paddles at 7 mph. HOw long will it take them to meet?

Best Answer

I suppose that you know how to find variable $t$ (time) from system below :

$$\begin{cases} x + y = 30 \\ x=4\cdot t \\ y=7 \cdot t \end{cases}$$

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