The speed of a boat in stilll water is 15 km/hr. it can go 30 km upstream and return downstream to the orginal point in 4 hrs 30 min. the speed of the stream is
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Given -
Speed of water = 15km/hr
Distance travelled upstream and downstream = 30 km
Let, speed of stream be x km/hr
So, time taken to travel 30km upstream = 30/15-x
and, time taken to travel 30km downstream = 30/15+x
Time taken to travel 30km upstream and 30km downstream = 4 hour 30 min or 9/2 hours
So, the equation formed will be
30/15-x + 30/15+x = 9/2
=> 30(1/15-x + 1/15+x) = 9/2
=> 1/15-x + 1/15+x = 9/2*30 = 3/20
=> (15+x+15-x)/225 - x2 = 3/20
=> 30/225-x2 = 3/20
=> 225-x2 = 30*20/3
=> 225-x2 = 200
=> x2 = 225-200
=> x2 = 25
=> x = 5
But, x = speed of stream
So, speed of the stream = 5 km/hr
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