Tim and Élan are 90 miles away from one another. They are starting to move towards each other simultaneously, Tim at a speed of 10 Mph and Élan at a speed of 5 Mph. If every hour they double their speeds, what is the distance that Tim will pass until he meets Élan?

In the first hour, Tim and Elan move 10 miles and 5 miles respectively, reducing their gap to 75 miles. In the second hour, their speeds double, so they travel 20 miles and 10 miles, leaving a gap of 45 miles. In the third hour, they travel 40 miles and 20 miles, covering the remaining 45 miles and meeting; thus, Tim travels 10 + 20 + 30 miles, which equals 60 miles.

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