The speed of the motor boat in still water is 18km/hr. A boat goes 24km upstream and return down stream. It takes 1 hour less than to return. Find the speed of the stream.
Answers
Answer:
Step-by-step explanation:
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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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