Question

A boat takes 7 hours to travel 16 km upstream
and 24 km downstream, and it takes 15 hours
to travel 36 km upstrea
m and 48 km
downstream. Find the speed of the boat in
still water and the speed of the stream.​

Answer 1

Answer:

Hi there, I can answer the first part of the question.

upstream = 16kmph

downstream= 24kmph

we know that upstream = x -2

and downstream= x+2

so

24x+ 2= 16x -2

24x -16x = 2-2

8x = 0

x = 8

Hence, Speed of boat in still water is 8kmph.

Hope it helps u...

Plz Brainliest me if the first part is correct...

Thx:)

Answer 2

$\huge\boxed{\blue{Speed \: Of \: Boat}}$

$Solution$

Let the Speed of stream be x km/hr.

Speed of boat be y km/hr

$\frac{16}{x + y} \: + \frac{24}{x - y} = 6$

$\frac{36}{x + y} + \frac{48}{x - y}$

Therefore,

$let \: \frac{1}{x + y} = m$

And

$let \: \frac{1}{x - y} = n$

$16m+24n=7$

$36m+48n=15$

$m = \frac{6 - 24n}{36} = \frac{1 - 4n}{6}$

$36( \frac{1 - 4n}{6} ) + 48n = 15$

$6 - 24n + 48n = 15$

$n=\frac{4}{5}$

$x - y = 8$

Therefore,

$8 \: km \: hr$

Hopes