Math, asked by omagrawal8422, 1 year ago

A motorboat whose speed in 24 km per hour in still water takes 1 hour more to go 32 km upstream and return back to the same point in 4 hours 30 minutes find the speed of the stream

Answers

Answered by sonualexantony
0

Answer:

Speed of the stream = 8 km per hour

Step-by-step explanation:

   The speed of the motorboat = 24 km per hour

            distance = 32 km

     Let the speed of the stream be 'x'

 Speed of boat upstream is 24 - x

 Speed of boat downstream is 24 + x

⇒ [(32/24-x) - (32/24+x)]  = 1

⇒ [ 32(24+x) - 32(24-x)]/(24-x)(24+x) = 1

⇒ [768 + 32x - 768 + 32x]/576 - x² = 1

⇒  64x = 576 - x²

⇒ x² + 64x - 576 = 0

⇒ x² - 8x + 72x - 576 = 0

⇒ x(x - 8) + 72(x - 8) = 0

⇒ (x -8)(x + 72) = 0

⇒ x = 8  or  -72

⇒ x = 8                             [∵ Speed cannot be a negative value]

Therefore, the speed of the stream is 8 km per hour.

Please mark as Brainliest

Similar questions