Question

A steamer takes 3 hours to travel downstream from one port to another. It takes 12 hours to
cover the same distance upstream. If the speed of the current of the stream is 3 km/hr, find
the speed of the steamer in still water and the distance between the two ports.​

Answer 1

Answer:

ok

Step-by-step explanation:

lets explore it

let the speed of steamer is x km per hr

in downstream

speed

x+3 km per hr

time 3 hr

than distance is

(x+3)×3

in upstream

speed is x-3 km per hr

time is 12 hr

so distance is (x-3)×12

in both condition distance is same

than

3x+9= 12x-36

-9x =-45

x= -45/-9

x= 5

so the speed of steamer is 5km per hr

then distance

put value in eq I

(x+3)3

(5+3)3 km

8×3 .km

24 km

it's the answer