Question

The speed of the boat in still water is 11 km per hour it can go 12 km upstream and return downstream on the original point in 2 hours 45 minutes find the speed of the stream

Answer 1

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Answer 2

Answer:

The speed of stream is 5 km/h.

Step-by-step explanation:

Let speed of the stream = x km/h

speed of the boat in still water = 11 km/h

speed of boat downstream = (11+x) km/h

speed of boat upstream = (11-x) km/h

According to question,

$=\frac{12}{11+x} + \frac{12}{11-x} = 2\frac{45}{60}$

$= 12[\frac{11-x + 11+x}{121 - x^{2} }] = \frac{11}{4}$

$= \frac{12*22}{121-x^{2} } = \frac{11}{4}$

$= 121 - x^{2} = 96$

$= x^{2} = 25$

$x = plus\:minus\:5$

Speed cannot be negative.

So the speed of stream is 5 km/h.