上午 8:00，乔伊（Joey）以 120 km/h 的恒定速度从 X 镇前往 Y 镇。与此同时，马德琳（Madeline）以 90 km/h 的恒定速度从 Y 镇前往 X 镇。上午 9:20，他们在相遇并越过彼此之后相距 50 km。X 镇和 Y 镇之间的距离是多少？ 答案：___

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完整解法

9

1. Calculate the total time travelled by Joey and Madeline.

From 8 a.m. to 9.20 a.m. is 1 hour and 20 minutes.
1 h 20 min=12060 h=113 h=43 h1 \text{ h } 20 \text{ min} = 1\frac{20}{60} \text{ h} = 1\frac{1}{3} \text{ h} = \frac{4}{3} \text{ h}

2. Calculate the total distance covered by both vehicles combined.

Combined speed = 120+90=210 km/h120 + 90 = 210 \text{ km/h}
Total distance covered by both = 210×43=280 km210 \times \frac{4}{3} = 280 \text{ km}

3. Determine the distance between Town X and Town Y.

Since they have driven past each other and are 50 km apart, the total distance they covered is the distance between the towns plus the 50 km they drove away from each other.
Distance between Town X and Town Y = 280−50=230 km280 - 50 = 230 \text{ km}

答案

230230 km

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