Question

A motorboat whose speed is 18km/hr in still water takes 1 hr more to go 24 km upstream than to return in downstream to the same spot. find the speed of the stream

Answer 1

$\huge\mathfrak{HoLa\: Mate!!!}$

$speed$ = 6km/h

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Answer 2

Answer:

Solution :

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Given :

         The speed of the motor bike instill water is 18 kmph,

         It takes 1 hour to travel upstream & return to same spot,.

From this information we can say that,

⇒ The speed of motor boat (boat's engine) = 18 kmph ,

⇒ It traveled 24 km upstream & 24km downstream in 1 hour,.

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To Find :

The speed of stream .

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We know that,

time =

So,

Let the speed of stream be x,

Then,

we can say that,

⇒  .....(i)      (All the units are in hour km per hour,etc,.)

⇒

⇒

⇒

⇒

⇒ -x² - 48x + 324 = 0

⇒ x² + 48x - 324 = 0

⇒ x² - 6x + 54x - 324 = 0

⇒ x (x -6) + 54(x - 6) = 0

⇒ (x + 54)(x - 6) = 0

For the equation to be 0,

Either,

⇒ x + 54 = 0 (or) x - 6 = 0

⇒ x = -54 (or) x = 6

⇒ x = 6 (As speed can't be negative, x ≠ -54)

      ∴ The speed of the stream is 6 kmph

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                             Hope it Helps!!