Question

The boat goes downstream at the rate 25 m/s and upstream at 15 m/s. Then the speed of the stream is

(A) 10 m/s
(B) 20 m/s
(C) 5 m/s
(D) 40 m/s​

Answer 1

$Let \: the \:speed \:of \:a \:boat \: in \: still \\water = x \: m/s$

$and \: the \: speed \: of \:the \:stream= y \: m/s$

$Given \: Speed \: in \: downstream = 25 \:m/s$

$\implies x + y = 25 \: m/s \: ---(1)$

$Speed \: in \: Upstream = 15 \:m/s$

$\implies x - y = 15 \: m/s \: ---(2)$

/* Subtract equation (2) from equation (1), we get */

$x + y - ( x - y ) = 25 - 15$

$\implies x + y - x + y = 10$

$\implies 2y = 10$

$\implies y = \frac{10}{2}$

$\implies y = 5 \: m/s$

Therefore.,

$\red{ The \: speed \: of \: the \: stream } \green { = 5 \: m/s}$

$Option \: \green { ( C ) } \: is \: correct$

•••♪

Answer 2

Answer:

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