Question

A steamer goes downstream from one port to another in 9 hours. It covers the same distance upstream in 10 hours. If the speed of the stream be 1km/h ,find out the speed of streamer in still water and the distance between the ports

Answer 1

Let speed of streamer in still water = x km/h

downstream speed = ( x + 1 ) km/h

upstream speed = ( x - 1 ) km/h

distance= 9 ( x + 1 ) = 10 ( x - 1 )

9x + 9 = 10x - 10

x = 19

speed of streamer in still water = 19 km/h

distance= 9 ( x + 1 ) = 9 x ( 19 + 1 )

= 180 km

hope it will help u

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Answer 2

Hey Mate.......
Here is your answer.......

Let the speed of the steamer in still water be x .

Downstream speed = ( x+1) km/h
Upstream speed = ( x-1) km/h

Hence ,
The distance of downstream = 9(x+1)
The distance of upstream = 10(x-1)


: . 9(x+1) =10(x-1)
=> 9x+9 =10x-10
=> 9x-10x= -10 -9
=> -x = -19
=> x = 19


:. The speed of the steamer in still water =19 km/h
and, the distance = 9 (x+1) km
= 9 (19+1)km
= 9×20= 120 km


Hope it will help you .......


Thanks for asking ☺️☺️☺️☺️☺️☺️