杰森于下午 12:50 从 C 镇出发前往 D 镇。他以 60 km/h 的平均速度行驶。下午 1:30,彼得从 C 镇出发前往 D 镇,沿相同的路线以 90 km/h 的平均速度行驶。彼得在什么时间追上杰森? 答案:下午 ___

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完整解法

25

1. Find the time difference between Jason's and Peter's departure

From 12.50 p.m.12.50\text{ p.m.} to 1.30 p.m.1.30\text{ p.m.} is 40 minutes40\text{ minutes}.
40 minutes=4060 h=23 h40\text{ minutes} = \frac{40}{60}\text{ h} = \frac{2}{3}\text{ h}

2. Calculate the distance Jason travelled before Peter started

Distance=Speed×Time\text{Distance} = \text{Speed} \times \text{Time}
Distance=60×23=40 km\text{Distance} = 60 \times \frac{2}{3} = 40\text{ km}

3. Calculate the relative speed and time taken for Peter to catch up

Relative speed=90−60=30 km/h\text{Relative speed} = 90 - 60 = 30\text{ km/h}
Time taken to catch up=4030=43 h=1 h 20 min\text{Time taken to catch up} = \frac{40}{30} = \frac{4}{3}\text{ h} = 1\text{ h } 20\text{ min}

4. Determine the time Peter overtook Jason

1.30 p.m.+1 h 20 min=2.50 p.m.1.30\text{ p.m.} + 1\text{ h } 20\text{ min} = 2.50\text{ p.m.}

答案

2.50

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