Quadratic Equations Question Doubt

Question

A Motor-Boat whose speed is 24 km/h in still water takes 1 hour more to go 32 km upstream than to return downstream to the same spot. Find the speed of the stream.

Answer 1

conquerer_shashank, hello

Nice problem.  Let "t" be the time that it took for the motor-boat to return downstream.  Let "w" be the speed of the stream. This gives us two equations:

32km = (24 - w)(t + 1)  and  32km = (24 + w)(t)

Solving we get the speed of the stream to be 8 ^km/_h

Please let me know if this helps.