Question
A river has a current of $4 \mathrm{km}$ per hr. Find the rate of Jai singh's boat in still water if it goes $40 \mathrm{km}$ downstream in the same time that it takes to go $24 \mathrm{km}$ upstream.
Step 1
When the boat is going downstream, the current of the river aids in its motion. Therefore, the effective speed of the boat is $(x+4)$ km/hr. Show more…
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A river has a current of $4 \mathrm{~km}$ per hr. Find the rate of Jai's boat in still water if it travels $40 \mathrm{~km}$ downstream in the same time that it takes to travel $24 \mathrm{~km}$ upstream. $$ \begin{array}{|l|l|l|l|} \hline & d & r & t \\ \hline \text {Upstream} & & & \\ \text {Downstream} & & & \\ \hline \end{array} $$
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Solve each problem. See Example 2. A river has a current of $4 \mathrm{km}$ per hr. Find the rate of Jai singh's boat in still water if it goes $40 \mathrm{km}$ downstream in the same time that it takes to go $24 \mathrm{km}$ upstream.
Another boat in a current The water in a river moves south at $5 \mathrm{km} / \mathrm{hr.}$ If a motorboat is traveling due east at a speed of $40 \mathrm{km} / \mathrm{hr}$ relative to the water, determine the speed of the boat relative to the shore.
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