Question 13
The first car leaves city $A$ for city $B$ and immediately turns back towards $A$ on reaching $B$. The second car leaves $B$ for $A$ and immediately turns back towards $B$ on reaching $A$. They start at the same time. Their first meeting is $30$ km from $A$. Their second meeting is $72$ minutes later and $15$ km from $B$; at that moment the first car is returning towards $A$ after reaching $B$. Find the speed of each car.
Practice-model clarification: each car travels at its own constant speed throughout, and before their second meeting both cars have reached the opposite city and turned back. The diagram is schematic, not to scale.
Practice-model clarification: each car travels at its own constant speed throughout, and before their second meeting both cars have reached the opposite city and turned back. The diagram is schematic, not to scale.