Bunuel wrote:
Distance between the cities \(d\).
First meeting point \(\frac{d}{2}\), as both buses travel at the same constant speed and leave the cities same time they meet at the halfway.
Total time to cover the \(d\) 4 hours, as the buses meet in 2 hours.
On the second day first bus traveled alone 1 hour (36min +24min), hence covered \(0.25d\), and \(0.75d\) is left cover.
They meet again at the halfway of \(0.75d\), which is 24 miles from \(\frac{d}{2}\):
\(\frac{d}{2}-24=\frac{0.75d}{2}\)
\(d=192\)
You destroyed that problem and took its lunch money too. So this is a great opportunity for me to ask a question about a concept that I've never fully understood. When you create this equation:
\(\frac{d}{2}-24=\frac{0.75d}{2}\)
What makes you subtract 24 instead of add 24? I feel like either one signifies "distance from", right?