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Applications (Word Problem)

A boat goes ...

Question

A boat goes $48 k m$ downstream in $20 h$ . It takes $4 h$ more to cover the same distance against the stream. What is the speed of the boat in still water ?

A

2.2 k m / h

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B

2 k m / h

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C

4 k m / h

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D

4.2 k m / h

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Solution

The correct option is A $2.2 k m / h$
Speed downstream $= \frac{48}{20} = 2.4$ km/hr
Speed upstream $= \frac{48}{24} = 2$ km/hr
Therefore, Speed of boat in still water.
$= \frac{1}{2} (2.4 + 2) = \frac{4.4}{2}$
$= 2.2$ km/hr.

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