Question

A boat can go 24 km downstream and return in 5 hours if the speed of stream is 2km/hr . Find the speed of boat in still water

Answer 1

Answer:Here is ur answer hope it helps u..

Step-by-step explanation:

Answer 2

Speed of boat is 10 km/hr in still water.

Step-by-step explanation:

Since we have given that

Distance covered = 24 km

Time taken = 5 hours

Speed of stream = 2 km hr

Let speed of boat in still water be 'x'

So, According to question, it becomes,

$\dfrac{24}{x+2}+\dfrac{24}{x-2}=5\\\\\dfrac{x-2+x+2}{x^2-4}=\dfrac{5}{24}\\\\\dfrac{2x}{x^2-4}=\dfrac{5}{24}\\\\48x=5(x^2-4)\\\\48x=5x^2-20\\\\5x^2-48x-20=0\\\\x=\dfrac{-2}{5}\ ,\ 10$

so, x  = 10 is accepted as speed cant be negative.

Hence, speed of boat is 10 km/hr in still water.

# learn more:

A boat can go 24km downstream and return in 5 hours. If the speed for the stream is 2km/hr,find the speed of boat in still water

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