Question

A steamer goes downstream and covers the distance between two ports in 6hours. While it covers the same distance upstream in 8 hours If the speed of stream is 2km/hr find the speed of steamer in still water
Ans- is 14km/hr
please give me its
explaintion step by step ​

Answer 1

Answer:

14 km/hr.

Step-by-step explanation:

Let the speed of streamer in still water be x km/hr.

A.T.Q.

6(x+2) = 8(x-2)

6x + 12 = 8x -16

12 + 16 = 8x-6x

28 = 2x

x = 14km/hr.

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Answer 2

Question:

A steamer goes downstream and covers the distance between two ports in 6hours. While it covers the same distance upstream in 8 hours If the speed of stream is 2km/hr find the speed of steamer in still water

Given:

Distance covered in Downstream= $6hrs$

Distance covered in Upstream =$8hrs.$

To Find:

The speed of steamer in still water

Solution:

Let the speed of streamer in still water be $x km/hr.$

Then,

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

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

We know that,

$\mathsf{Distance=speed×time}$

Also,

${Distance\: covered\: in\: 6hrs.\: downstream=Distance\: covered\: in\: 8hrs.\: upstream}$

$\therefore$ $\mathsf{6(x+2)=8(x-2)}$

$:\implies$ $6x+12=8x-16$

$:\implies$ $12+16=8x-6x$

$:\implies$ $28=2x$

$:\implies$ $\large\frac{28}{2}=x$

$:\implies$ $\underline\color{purple}\boxed{x=14}$

Therefore the speed of steamer in still water is $14km/hr$

Final Answer:

The speed of Streamer in still water is ${14km/hr}$