guyss please answer this question....
Answers
Answer:
here Mate here's your answer
Step-by-step explanation:
Solution :
_____________________________________________________________
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 .
_____________________________________________________________
We know that,
time = \frac{distance}{speed}
speed
distance
So,
Let the speed of stream be x,
Then,
we can say that,
⇒ \frac{24}{18 - x} - \frac{24}{18 + x} = 1
18−x
24
−
18+x
24
=1 .....(i) (All the units are in hour km per hour,etc,.)
⇒ \frac{24(18 + x)-24(18 - x)}{(18 - x)(18 + x)} = 1
(18−x)(18+x)
24(18+x)−24(18−x)
=1
⇒ \frac{24(18 + x - 18 + x)}{(18 - x)(18 + x)} = 1
(18−x)(18+x)
24(18+x−18+x)
=1
⇒ \frac{24(2x)}{324 - x^2} = 1
324−x
2
24(2x)
=1
⇒ 324 - x^2 = 48x324−x
2
=48x
⇒ -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
____________________________________________________________
Hope it Helps!!!!!
Hi Santhosh!! Change ur dp?....
U look smart. So here is ur answer Santhosh
plss give a like♥️ if u like my answer and mark me as a brainliest
