谭先生从A镇到B镇用了4小时。林先生沿着相同的路线，以相反的方向从B镇到A镇用了8小时。他们都在上午11:00出发。他们在什么时间相遇？答案下午 ...

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完整解法

1. Find their combined fraction of the route travelled in 1 hour

Let the distance from Town A to Town B be $1$ whole route.

Mr Tan's rate $= \dfrac{1}{4}$ route per hour.

Mr Lim's rate $= \dfrac{1}{8}$ route per hour.

Combined rate towards each other
$=\dfrac{1}{4}+\dfrac{1}{8}=\dfrac{3}{8}$
route per hour.

2. Find the time after 11 am when they meet and convert to clock time

Time taken to meet
$=1\div \dfrac{3}{8}=\dfrac{8}{3}\text{ h}$
$=2\text{ h }40\text{ min}$

They started at 11 am, so they passed each other at
$11\text{ am}+2\text{ h }40\text{ min}=1.40\text{ pm}.$

答案

$1.40$ pm

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