Cars A and B start from the east and west stations at the same time, and head towards each other. After 3 hours, car A travels exactly half of the distance, and car B is still 45 kilometers away from car A. It is known that the speed ratio of cars A and B is 4: 3. How many kilometers is the distance between the east and west stations?
甲乙两车同时从东西两站出发，相向而行，3小时后，甲车恰好行完全程的一半，而乙车距甲车还有45千米，已知甲乙两车的速度比是4：3．东西两站相距多少千米？
<gadget id="calculator">4 / 3</gadget>
<output>4/3 = around 1.333333</output>

<gadget id="calculator">(4/3) * 45</gadget>
<output>60</output>

<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">(4/3) * (1/2)</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">(2/3) - (1/2)</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">60 / (1/6)</gadget>
<output>360</output>

<result>360</result>