car travels at 40 km/h on an uphill road, 50 km/h on a downhill road, and 45 km/h on a flat road. On a certain day, the car drove from A to B, first it took (1/3) time to go uphill, then it took (1/3) time to go downhill, and finally it took (1/3) time to go flat road. It is known that when the car returns from place B to place A by the same route, it takes 15 minutes longer than the time it takes to drive from place A to place B. Find the distance between places A and B.
一辆汽车在上坡路上行驶的速度是每小时40千米，在下坡路上行驶的速度是每小时50千米，在平路上行驶的速度是每小时45千米．某日这辆汽车从甲地开往乙地，先是用了(1/3)的时间走上坡路，然后用了(1/3)的时间走下坡路，最后用了(1/3)的时间走平路．已知汽车从乙地按原路返回甲地时，比从甲地开往乙地所用的时间多15分钟，求甲、乙两地的距离．
<gadget id="calculator">40 * 5</gadget>
<output>200</output>

<gadget id="calculator">50 * 5</gadget>
<output>250</output>

<gadget id="calculator">45 * 5</gadget>
<output>225</output>

<gadget id="calculator">200 + 250 + 225</gadget>
<output>675</output>

<result>675</result>