Question

a steamer goes downstream from one point to another in 7 hours it cover the same distance upstream in 8 hours if the speed of stream be 2 kilometre per hour find the speed of streamer in still water and the distance between the ports​

Answer 1

Answer:

hii

your answer is here !

Step-by-step explanation:

Answer:

30 km/hr, 224 km

Step-by-step explanations =>

Let the speed of the steamer in still water = x km/hr.

Given,Speed of stream = 2 km/hr.

Downstream Speed = (x + 2) km/hr.

Upstream Speed = (x - 2) km/hr.

Given, distance covered in 7 hours while downstream = 7(x + 2).

Given, distance covered in 8 hours while upstream = 8(x - 2).

Now,

⇒ 7(x + 2) = 8(x - 2)

⇒ 7x + 14 = 8x - 16

⇒ 7x - 8x = -16 - 14

⇒ -x = -30

⇒ x = 30.

Now,

∴ Distance between the ports = 7(x + 2) km

                                                 = 7(30 + 2)

                                                 = 7(32)

                                                 = 224 km.

Therefore:

Speed of the steamer in still water = 30 km/hr.

Distance between the ports = 224 km.

Hope it helps!

$follow \: me$

Answer 2

Answer:

DISTANCE B/W PORTS=224 SPEED=30Km/

Step-by-step explanation:

Given speed of stream is 2km/hr

let speed be x and distance be y

then according to question

In first condition in downstream

x+2=y/7

So,y=(x+2)×7

y=7x+14-------eq.1

and in second condition in upstream

x-2=y/8

So,y=(x-2)×8

y=8x+16-------eq.2

Substract eq.1 from eq.2 we get,

0=x-30

so,x=30km/hr

put value of x in eq.1 we get,

y=224km