Alright, let's break down the problem step-by-step.
1. Identify the given distances:
- The distance to the waterfall is given as [tex]\(\frac{1}{6}\)[/tex] kilometers.
- After biking for an hour, the remaining distance to the waterfall is given as [tex]\(\frac{1}{1} = 1\)[/tex] kilometer.
2. Calculate the distance biked:
- We need to subtract the remaining distance from the initial distance to find out how much Kwame has biked.
- The initial distance to the waterfall is [tex]\(\frac{1}{6}\)[/tex] kilometers.
- The remaining distance after biking for an hour is [tex]\(1\)[/tex] kilometer.
3. Compute the distance biked:
- Distance biked = Initial distance - Remaining distance
- Distance biked = [tex]\(\frac{1}{6} - 1\)[/tex]
4. Simplify the expression:
- Converting [tex]\(\frac{1}{6}\)[/tex] into a decimal gives approximately [tex]\(0.1667\)[/tex].
- Distance biked [tex]\(= 0.1667 - 1\)[/tex]
- Distance biked [tex]\(= -0.8333\)[/tex]
Therefore, the distance Kwame biked after an hour is approximately [tex]\(-0.8333\)[/tex] kilometers.
Note that a negative distance suggests an inconsistency or error in the given information or a contextual misinterpretation, as physical distance cannot be negative. However, based on the provided figures, this is the calculated result.
