A motor boat whose speed is 24 km/h in still water takes 1 hour more to 32 k upstream than to return downstream . find speed of stream
Answers
Answered by
3
Let the speed in stream be x km/hr.
Then,
Upstream = 32/24-x
Downstream = 32/24+x
________________________________________________________
According to question,
(32/24-x) - (32/24+x) = 1
32(24+x) - 32(24-x) = (24-x)(24+x)
768+32x-768+32x = 576-x²
⇒ x²+64x-576
⇒ x²+72x-8x-576
⇒ x(x+72)-8(x+72)
⇒ (x-8)(x+72)
Then, x = 8, -72
Speed cannot be in negative.
_____________________________________________________
Hence speed of stream = 8 km/hr
_____________________________________________________
☺ ☺ ☺ Hope this Helps ☺ ☺ ☺
Then,
Upstream = 32/24-x
Downstream = 32/24+x
________________________________________________________
According to question,
(32/24-x) - (32/24+x) = 1
32(24+x) - 32(24-x) = (24-x)(24+x)
768+32x-768+32x = 576-x²
⇒ x²+64x-576
⇒ x²+72x-8x-576
⇒ x(x+72)-8(x+72)
⇒ (x-8)(x+72)
Then, x = 8, -72
Speed cannot be in negative.
_____________________________________________________
Hence speed of stream = 8 km/hr
_____________________________________________________
☺ ☺ ☺ Hope this Helps ☺ ☺ ☺
Answered by
2
Hi !
here is your answer !
The solution is given in the above pic.
however ,
x = 8 .
Thus,
Speed of the stream = 8 km/hr.
________________________
Final Answer :
The speed of the stream is
8 km/hr.
________________________
hope this helps ! ! ! #
here is your answer !
The solution is given in the above pic.
however ,
x = 8 .
Thus,
Speed of the stream = 8 km/hr.
________________________
Final Answer :
The speed of the stream is
8 km/hr.
________________________
hope this helps ! ! ! #
Attachments:
Similar questions