SOLUTION: please help me in this question: A motorboat can travel at a rate of 25 kilometers per hour in still water. Find the rate of the current of a river if the boat takes 2:3 as much ti

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Question 70213This question is from textbook
: please help me in this question: A motorboat can travel at a rate of 25 kilometers per hour in still water. Find the rate of the current of a river if the boat takes 2:3 as much time to travel 100 kilometers downstream as it takes to travel the same distance upstream. This question is from textbook

Answer by ravishingravi(1)   (Show Source): You can put this solution on YOUR website!
Let the speed of water current be x km/hr
So speed of boat in upstream = 25-x km/hr
speed of boat in downstream = 25+x km/hr
Now given that
T1:T2=2:3
where T1 is time taken by boat to cover 100 km in downstream
T2 is time taken by boat to cover 100 km in upstream
so
T1/T2= (100/25+x)/(100/25-x)
now put T1/T2=2/3
so
2/3=(100/25+x)/(100/25-x)
soving for x
we get x= 5km/hr
so the speed of water current is 5km/hr

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