Question:
Two boats, traveling at 5 and 10 km per hour, 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?
Two boats, traveling at 5 and 10 km per hour, 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?
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For relative speed problems, always combine the speeds of objects moving towards each other.
Updated On: Aug 1, 2025
- \(\frac{1}{12}\)
- \(\frac{1}{6}\)
- \(\frac{1}{4}\)
- \(\frac{1}{3}\)
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The Correct Option is B
Solution and Explanation
The boats are traveling towards each other at a combined speed of \(5 + 10 = 15\) km/h.
In 1 minute, they travel \(\frac{15}{60} = \frac{1}{4}\) km.
One minute before collision, they are \(\frac{1}{6}\) km apart.
\[
\boxed{\frac{1}{6}}
\]
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