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A boat takes as much time to cover 40 km up the stream as in going 40 kilometre down the stream if the speed of the boat is 6 km per hour , find the speed at which water is flowing ?

Posted by Omkar Kumar 4 years, 9 months ago

CBSE > Class 08 > Mathematics

1 answers

Anurag Singh Bohra 4 years, 9 months ago

Speed of the water = 3 kmph. Step-by-step explanation: In the question, Let us say time taken by boat to cover the distance downstream = t So, Time taken in upstream = 3t Distance travelled = 40 km Speed of the boat = 6 km/hr. Let us say the speed of the water be = s km/hr As, Distance = Speed x Time So, Speed in upstream = (6 - s) km/hr Speed in downstream = (6 + s) km/hr So, 40 = (6 - s) x 3t ..........(1) and, 40 = (6 + s) x t ...........(2) So, From these equations we get, \begin{gathered}(6-s)3t=(6+s)t\\18-3s=6+s\\4s=12\\s=3\ \frac{km}{hr}\end{gathered} (6−s)3t=(6+s)t 18−3s=6+s 4s=12 s=3 hr km Therefore, the speed of the water is 3 kmph

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