Question

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Question:
(Class 10 maths)
A motor boat goes 10 km upstream and returns back to the starting point in 55 minutes. If the speed of the motor boat in still water is 22 km per hour,find the speed of current.

Answer 1

$\huge\underline\bold\red{Answer}$

Let the speed of the motor boat be "x km\h"

Speed downstream = (x+2) km\hr

Speed upstream = (x-2) km\hr

Therefore,

$\frac{10}{x - 2} + \frac{10}{ x+ 2} = \frac{55}{60}$

$11x^{2} - 240x - 44 = 0$

$(x - 22)(11 + x + 2) = 0$

$x = 22$

Hence the speed of current is 22 km/hr .

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