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1. Two boats, travelling at 5 km/h and 10 km/h, head directly towards each other. They begin at a distance of 20 km from each other. How far apart are they (in km) one minute before they collide?

A. $\frac{1}{12}$

B. $\frac{1}{6}$

C. $\frac{1}{4}$

D. $\frac{1}{3}$

Solution:

In the final minute of collision, the two boats travel

\frac{5}{60}

km and

\frac{10}{60}

km.
As they moves towards each other relative distance covered in 1 minute,

\begin{aligned} = \frac{1}{12} + \frac{1}{6} \\ = \frac{1}{4} km \end{aligned}

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