Question

A motor boat whose speed is 18km per hour in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot . find the speed of the stream​

Answer 1

Answer:

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,.

To Find :

The speed of stream .

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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Answer 2

Answer:

Answer is 6

Step-by-step explanation:

24 is the one-way distance

let X be speed of stream

down stream speed is 18+x

upstream spread is 18-x

as stated in question

(24/18-x) - (24/18+X)=1

solving this we will get

x^2 + 48x- 324=0

(x-6)(X+54)= 0

so X=6