Answer:
18 kilometers
Step-by-step explanation:
Given: Lashana notes that she hikes about 12 kilometers every 4 hours.
To find: At this rate how many kilometers she could hike in 6 hours.
Solution: It is given that Lashana hikes about 12 kilometers every 4 hours.
Now, to find how many kilometers she could hike in 6 hours, we need to find the ratio of Distance hiked to the time taken is
\(\frac{Distance\,hiked}{time\:taken} =\frac{12}{4}\)
Now, let she will hike x kilometers in 6 hours.
So, the ratio of distance hiked to the time taken is
\(\frac{Distance\,hiked}{time\:taken} =\frac{x}{5}\)
Now, on equating both the ratios we have,
\(\frac{12}{4} =\frac{x}{6}\)
\(\implies x=\frac{12}{4}\times6\)
\(\implies x=18\)
Hence, she could hike 18 kilometers in 6 hours.
