The speed of a boat in still water is $8$ km/hr and speed of the stream is $3$ km/hr. Find the distance in km covered by the boat in $12$ hrs downstream .

120

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150

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132

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176

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Solution

The correct option is D $132$
speed of the boat= $8 k m / h r$
speed of the stream= $3 k m / h r$
If the speed of the boat in still water is $x k m / h r$ and speed of the stream is $y k m / h r$ then $s p e e d d o w n s t r e a m = (x + y) k m / h r$
Therefore $s p e e d d o w n s t r e a m = 8 + 3 = 11 k m / h r$
$t i m e = 12 h r s$
$d i s t a n c e = s p e e d \times t i m e$
$\Rightarrow d i s t a n c e = 11 \times 12$
$\Rightarrow d i s t a n c e = 132 k m s$

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