在 08:00,帕特里克和约翰以恒定速度从 A 镇出发前往 B 镇。他们沿着相同的路线行驶。帕特里克的行驶速度比约翰快 25 km/h。当帕特里克到达 A 镇和 B 镇的中点时,约翰距离该中点还有 30 km。帕特里克在什么时间到达 B 镇?

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完整解法

10

1. Determine the time taken for Patrick to reach the mid-point

Difference in distance between Patrick and John at the mid-point = 3030 km.
Difference in speed = 2525 km/h.
Time taken to reach the mid-point = 3025=1.2\frac{30}{25} = 1.2 hours.

2. Calculate the total time taken for Patrick to reach Town B

Total time taken = 1.2×2=2.41.2 \times 2 = 2.4 hours.

3. Convert the total time into hours and minutes and find the arrival time

2.42.4 hours = 22 hours and 2424 minutes.
Starting time = 08 0008\ 00.
Arrival time = 08 00+208\ 00 + 2 h 2424 min = 10 2410\ 24.

答案

10 24

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