Question

A steamer goes downstream and covers the distance between two ports in 4 hours whike it covers the same distance upstream in 6 hours. If the speed of the stream is 2 km/ h find the speed of the streamer in still water .​

Answer 1

Answer:

x= 10 or x=10km/hr is the answer

Step-by-step explanation:

Let the speed of the steamer in still water be x km/h.

Then, the speed downstream =(x+2) km/h

and the speed upstream =(x−2) km/h

Given, distance covered in 4 hours downstream = distance covered in 5 hours upstream

∴4(x+2)=6(x−2)

⇒4x+8=6x−12

⟹4x−6x=(−12)−8

[Transposing 5x to LHS and 8 to RHS]

⟹-2x= (-20)

⟹ x= $\frac{(-20)}{(-2)}$

⟹ x= 10 or x=10km/hr

PLS MRK AS BRAINLIEST PLSSSSSSSSSSSS........... :)

Answer 2

x= 10 or x=10km/hr is the answer.