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Initially, you are at the position x = 1.5 m and your friend is at the position x = 11.5 m. You both walk towards each other until you meet. If you walk three times the distance that your friend walks. Where do you both meet?

Question

Initially, you are at the position x = 1.5 m and your friend is at the position x = 11.5 m. You both walk towards each other until you meet. If you walk three times the distance that your friend walks. Where do you both meet?

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Solution

The total distance between you and your friend is 11.5 m - 1.5 m = 10 m.

Let's denote the distance your friend walks as d. According to the problem, you walk three times the distance your friend walks, so you walk 3d.

When you meet, the total distance walked by both of you combined is the distance between you initially, which is 10 m. So we can set up the equation:

d (your friend's distance) + 3d (your distance) = 10 m 4d = 10 m d = 10 m / 4 d = 2.5 m

So your friend walks 2.5 m. Since you walk three times the distance your friend walks, you walk 3 * 2.5 m = 7.5 m.

Therefore, you meet at the position x = 1.5 m (your initial position) + 7.5 m (the distance you walk) = 9 m.

This problem has been solved

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