We need to find the time in which Toni rows the boat upstream.
Toni rows the boat 26.4 minutes upstream.
Let the distance covered upstream be [tex]d[/tex] and downstream be [tex]d[/tex].
The speed upstream is 4.5 km/h
The speed downstream is 5.5 km/h
Total time taken is 48 min.
Time is given by
[tex]\text{Time}=\dfrac{\text{Distance}}{\text{Speed}}[/tex]
[tex]\dfrac{d}{4.5}+\dfrac{d}{5.5}=\dfrac{48}{60}\\\Rightarrow \dfrac{d}{45}+\dfrac{d}{55}=\dfrac{48}{600}\\\Rightarrow \dfrac{11d+9d}{495}=\dfrac{48}{600}\\\Rightarrow d=\dfrac{48\times 495}{20\times 600}\\\Rightarrow d=1.98\ \text{km}[/tex]
So, distance traveled one way is 1.98 km.
Time upstream would be
[tex]\dfrac{1.98}{\dfrac{4.5}{60}}=26.4\ \text{minutes}[/tex]
Hence, Toni rows the boat 26.4 minutes upstream.
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