$$2014-AMC10A-15$$  David drives from his home to the airport to catch a flight. He drives $$35$$ miles in the first hour, but realizes that he will be $$1$$ hour late if he continues at this speed. He increases his speed by $$15$$ miles per hour for the rest of the way to the airport and arrives $$30$$ minutes early. How many miles is the airport from his home?  大卫从他家开车去机场赶飞机。 他在第一个小时内行驶了 35 英里，但他意识到如果他继续保持这个速度，他将迟到 1小时。 在前往机场的剩余路程中，他将速度提高了每小时 15英里，并提前了 30分钟。 机场离他家多少英里？
选项为:A:$$140$$  B:$$175$$  C:$$210$$  D:$$245$$  E:$$280$$  请回答其中一个选项.