Question

downstream fromine port 9 hours it covers the same distance upstream in 10 hours if the speed of stream be one km per hour find the speed of the steamer in still water and distance between the two ports from chapter linear equation equation with one variable

Answer 1

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

In the speed downstream he has advantage of 1km/h = (x+1) km/h

The speed in upstream  where he has disadvantage of 1km/h = (x-1) km/h

The distance covered in downstream is 9 hrs = speed * time = {9(x+1)} km

                                                                                                   = (9x+9) km

The distance covered in 10 hrs while going upstream      ={10(x-1)} km

                                                                                                   =(10x-10) km

Since the distance is same in both the cases

thus,

9x+9=10x-10

9x-10x=-10-9

-x=-19

x=19

therefore, speed of the steamer in still water= x km/h=  19km/h

Distance between the 2 ports = (x+1)9 = (19+1) 9= 180km

Answer 2

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