Question

A motorboat covers a distance of 16km upstream and 24km downstream in 6 hours. In the same speed of the boat in still water and that of the stream.​

Answer 1

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Let the speed of the Boat in still water = x km/h

& Let the Speed of the Stream = y km/h

Now,

$\: \: \: \: \text{speed dowmstream = x + y} \\ \: \: \: \: \text{speed upstream = x - y}$

Given that :

A boat goes 16km upstream and 24km downwards

Time taken to go to 16km upstreams + Time taken to go to 24km = 6 hours

$\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{\red{We \: Know \: That}}}} \\ \\ \bigstar \: \bf{Speed = \dfrac{distace}{time} \: \: \: \: \: \: \: \: \: } \: \: \: \: \\ \\ \bigstar \:\bf{Time = \dfrac{distance}{speed} \: \: \: \: } \: \: \: \: \: \: \: \: \:\end{array} }}\end{gathered}\end{gathered}\end{gathered}$