Math, asked by harshini1475, 1 month ago

A steamer goes downstream from one port to another in 8 hours and same
distance upstream in 12 hours. If the speed of stream is 2 km/hr. Find speed of
steamer in still water and distance between ports.​

Answers

Answered by Saby123
27

Solution :

In the above questión , the following details are mentioned -

• A streamer goes downstream from one fort to another in 8 hours and can travel the same distance upstream in We hours .

• Speed of the stream is 2 km/hr .

We have to find the speed of the streamer in still water and the distance in the ports . Let us start by assigning these variables first. Suppose that the speed of the streamer in still water is x km/hr and the distance between the two ports is d km.

Speed = [ Distance/Time]

Time = [ distance/speed ]

Speed of the streamer upstream = ( x - 2) kmph

Speed of the streamer downstream = ( x + 2) kmph

Speed upstream = ( x - 2) = d/12

Speed downstream = (x+2) = d/8

Dividing the two equations with each other

> ( x-2)/(x+2) = 8/12 = 2/3

> 3x - 6 = 2x + 4

> x = 10 km/hr

D = 96 km .

Answer - The speed of the streamer in still water and the distance between the ports are 10kmph and 96 km respectively .

____________________________________

Answered by QuestionerBot
23

Let the speed of the steamer be x

Given that the speed of the stream is 2 km/h

Find upstream distance:

steamer's upstream speed  = (x - 2) km/h

Distance = Speed x times

Distance = (x - 2) x 15

Distance = 15(x -2)

Find downstream distance:

steamer's downstream speed = (x + 2) km/h

Distance = Speed x times

Distance = (x + 2) x 12

Distance = 12(x + 2)

Solve x:

Given that both upstream and downstream distance is the same.

15(x - 2) = 12(x + 2)

15x - 30 = 12x + 24

3x = 54

x = 18

The speed of the steamer in still water is 18 km/h

Find the distance:

Distance = 15(18 - 2) = 240 km

Answer: The speed of the steamer in still water is 18km/h and the distance is 240 km.

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