two runners who live 10 miles apart leave home and start running towards each other at the same time. one runner runs 4 miles per hour, and the ohter runs 6 miles per hour. how long after the runners begin running will they meet?
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To determine the time it takes for the two runners to meet, we need to consider their combined speeds.
Let's call the time it takes for them to meet "t" (in hours).
Runner 1 runs at a speed of 4 miles per hour. So in "t" hours, Runner 1 would have covered a distance of 4t miles.
Similarly, Runner 2 runs at a speed of 6 miles per hour, which means they would have covered a distance of 6t miles in "t" hours.
Since they are running towards each other, the distances covered by both runners should add up to the total distance between them, which is 10 miles.
So, the equation we can form is 4t + 6t = 10.
Combining like terms, we get 10t = 10, and dividing both sides by 10 gives us t = 1.
Therefore, it will take 1 hour for the two runners to meet.
So the answer to your question is that they will meet 1 hour after they begin running.