Math, asked by beauti96095, 9 months ago

a boat can be towed 9km. upstream or 18km. downstream in a period of 3hours. What is the speed of the boat in still water in km/hr​

Answers

Answered by sonuvuce
0

A boat can be rowed 9 km. upstream or 18 km downstream in a period of 3 hrs. The speed of the boat in still water is 4.5 km/hr

Step-by-step explanation:

Let the speed of the boat in still water be v km/h and the speed of the river be u km/h

Then

Speed of the boat downstream = (v + u) km/h

Speed of the boat upstream = (v - u) km/h

According to the question

3=\frac{18}{v+u}

\implies v+u=6  .......... (1)

Again

3=\frac{9}{v-u}

\implies v-u=3  .......... (2)

Adding eq (1) and eq (2), we get

2v=9

\implies v=4.5 km/h

Hope this answer is helpful.

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