Rotate the the coordinate axes so that the projections of the speed V1 and v2 on the x axis are equal. Since #1 and #2 meet, their x coordinates are always equal. Also since #3 and #4 meet both #1 and #2 at different points, their x coordinates must be equal (to that of #1 and #2), too. Since their paths meet (this condition is redundent and can be deducted from the order of the events), they will arrive at the intersection at the same time. www.ddhw.com
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