Problem A boat going upstream takes 1.5 times longer than going the same distance downstream. If the water current in the river is 8 kph, calculate the speed of the boat in still water.
Answer Key
Solution
Let x = speed of the boat in still water and d = distance $\dfrac{d}{x - 8} = 1.5 \left( \dfrac{d}{x + 8} \right)$
$x + 8 = 1.5(x - 8)$
$0.5x = 20$
$x = 40 ~ \text{kph}$ ← answer
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