Answer:
[tex]\large \boxed{\text{23 s}}[/tex]
Step-by-step explanation:
Jaime is at point A and wants to get across the river to Point B.
They must head upstream towards Point C.
1. Calculate the net speed across the river.
∆ABC is a right triangle, so
[tex]\begin{array}{rcl}AB^{2} + BC^{2} & = & AC^{2} \\AB^{2} +10^{2} & = & 12^{2} \\AB^{2}+100& = & 144 \\AB^{2}& = & 44\\AB & = & \sqrt{44}\\& = & 2\sqrt{11}\\& \approx &\textbf{6.633 m/s}\\\end{array}[/tex]
2. Calculate the time to cross the river
[tex]\text{Time} = \text{150 m} \times \dfrac{\text{1 s}}{\text{6.633 m}} \approx \textbf{23 s}\\\\\text{It will take $\large \boxed{\textbf{23 s}}$ to cross the river.}[/tex]
