The speed of the boat in calm water is 30 km/h. A boat takes the same time to travel 10 km
upstream as it does to travel 15 km downstream. Find the speed of the river current.
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Let speed of boat be x km/h.
Given speed of current = 5 km/h
Therefore, Upstream speed of boat = (x-5) km/h
Downstream speed of boat = (x + 5) km/h
According to the question,
10x−5+10x+5=5060
10(x+5+x−5x2−25)=56
12×2x=x2−25
x2−24x−25=0
x2−25x+x−25=0
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(x−25)(x+1)=0
Therefore, x = 25
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