Question

A motor boat whoes speed is 18km/h in still water takes 1hr more to go 24km upstrem then to return downstream to the same spot .find the speed of the stream.

Answer 1

x = speed of the stream
speed of boat = 18 km/h
distance= 24 km
time= 1 hr

Rest in the pic.

Hope this helps!!!

Answer 2

let the speed of the still water be x km/he
Now speed upstream (18-x)km/hr
Now speed downstream (18+x)km/he
Now according to question
$24 \div 18 - x - 24 \div 18 + x = 1$


Now 24
$24(18 + x) - 24(18 - x) \div {18 }^{2} - {x }^{2} = 1$
24×18+24x-24×18+24x/324-x^2=1
48x=324-x^2
x^2+48x-324=0
${x}^{2} + (54 - 6)x - 324 = 0$
${x}^{2} + 54x - 6x - 324 = 0$
$x(x + 54) - 6(x + 54) = 0$

$(x + 54)(x - 6) = 0$
$x = - 54 \: and \: x = 6$
As the speed of the stream cannot be negative therefore
x=6km/hr
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