Current of the water is 1.714 mph
<h3><u>Solution:</u></h3>
Given that,
A boat travels 12 Mph in still water
It can travel 18 miles upstream in the same time that it can travel 24 miles downstream
To find: current of water
<u><em>Formula to remember:</em></u>
If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then:
Speed downstream = (u + v) km/hr
Speed upstream = (u - v) km/hr
Let "t" be the time taken for upstream and downstream
Let "x" be the speed of stream or current
<u><em>For upstream:</em></u>
distance = 18 miles
time taken = t
speed in still water = 12 mph
speed of stream = "x"
we know that :
<u><em>For downstream:</em></u>
distance = 24 miles
time taken = t
speed in still water = 12 mph
speed of stream = "x"
Now, adding those two equations (1) and (2) we get,
<h3>t = 1.75 hours</h3>
Now, from equation (1) we get
Thus current of the water is 1.71 mph