Question

A streamer goes downstream from one port to another in 6 hours. It covers the same distance in upstream in 7 hours. If the speed of the stream is 2km/hr, find the speed of the streamer in still water.

Answer 1

Answer:

Step-by-step explanation:

Let the speed of streamer in still water be x

Speed upstream = ( x - 2 ) km/hr

Speed downstream = ( x + 2) km/hr

Distance = speed x time

Distance upstream = ( x - 2) 7

= 7x - 14 km

Distance downstream = (x + 2 ) 6

= 6x + 12 km

ATQ : distance upstream = distance downstream

So, 7x - 14 = 6x + 12

7x - 6x = 12 + 14

X = 26 km / hr

Therefore, the speed of steamer is 26 km/h

HOPE IT HELPS YOU!!

Answer 2

Answer:

26 km/hr

Step-by-step explanation:

Let the speed of the streamer be x km/hr

Speed of Stream = 2 km/hr

It is given that while going downstream, the streamer takes 6 hours to cover the distance between two ports.

$\therefore$ Speed of the streamer downstream = (x+2) km/hr

Distance Covered in 1 hour = (x+2) km

Distance covered in 6 hours =6(x+2) km

$\therefore$ Distance between 2 ports = 6(x+2) km ....(i)

It is given that while going,upstream the streamer takes 7 hours to cover the distance.

Speed of Streamer Upstream = (x-2)km/hr

Distance covered in 1 hr = (x-2)

Distance covered in 7 hrs = 7(x-2) km

$\therefore$ Distance between two ports in this case = 7(x-2) km ....(ii)

$\because$ The distance between two ports is the same.

$\therefore$ From (i) and (ii) we get,

$\implies\: 6(x + 2) = 7(x - 2)$

$\implies \: 6(x + 2) = 7(x - 2)$

$\implies \: 6x + 12 = 7x - 14$

$\implies \: - x = - 26$

$\implies\: x = 26$

$\therefore$ The speed of the streamer in still water = 26km/hr