from Prague to Brno · Physics Brawl 2016 #FoL.12

Physics · mechanics

Problem

You are driving from Prague to Brno with velocity v = 150 km·h⁻¹ on the D1 motorway. The length of this path is d = 196 km. How many times will you pass by a RegioJet bus (also heading to Brno) during driving, if you know that every half hour, a bus leaves Prague for Brno with velocity vb = 80 km·h⁻¹ and you leave Prague at the same time as one bus? (Don't count that bus. However, if you meet a bus when arriving at Brno, do count that one.) Assume that there are no traffic jams or closed sections of the motorway due to construction. Dominika had an idea when travelling back from a FYKOS camp.

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