$A$ motor boat whose speed is $18\, km/h$ in still water takes $1\, hour$ more to go $24\, km$ upstream than to return downstream to the same spot. Find the speed of the stream. (in $ km/h$)

Two water taps together can fill a tank in $9 \frac{3}{8}$ hours. The tap of larger diameter takes $10 \text{ hours}$ less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

Is it possible to design a rectangular park of perimeter $80\, m$ and area $400\, m^2$? If so,find its length and breadth.

Check whether the following is a quadratic equation:
$(x+1)^{2}=2(x-3)$

An express train takes $1\, hour$ less than a passenger train to travel $132\, km$ between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is $11\, km/h$ more than that of the passenger train,find the average speed of the two trains. (in $km/h$)

Find the roots of the equation $2x^{2}-5x+3=0$ by factorisation.