Question

A steamer goes downstream and covers the distance between two ports in 4 hours and covers the same distance upstream in 5 hours. Find the distance of the steamer, if the water is flowing at a speed of 1.5 kmph.

Answer 1

Let the distance between the two ports be x km. 

Then, speed downstream = x/4 

And speed upstream = x/5 

Speed of the stream, 

= [speed downstream - speed upstream] / 2

= (x/4 - x/5)/2

Or, (5x -4x)/40 = 2

Or, x/40 = 2 

Thus, x = 80 km.

Distance between two ports = 80 km

hope it helps u

plzz plzz mark me brainliest

i only need 1 brainliest to reach another level

so,plzz plzz mark me brainliest

plzz

and i will follow u

Answer 2

SOLUTION. let the distance be y

let the speed of the boat in still water be x then the net speed when the boat is going downstream is 1.5+x. ( because speeds add up when the boat is going downstream)

the net speed when the boat is going upstream is :

1.5 -x. ( because the bet speed comes into effect when the boat is going upstream)

time taken to go downstream = y/1.5+x. = 4( given)

y=6+4x-----------------------------(1)

time taken to go upstream = y/1.5-x= 5

y=7.5-5x

substituting the value of y as in (1) in the above equation

6+4x = 7.5-5x

9x= 1.5

x = 1.5/9 =1/6

y = 6+4×(1/6)

= 20 /3 = 6.67

so the distance covered is 6.67 km.

HOPE IT HELPS SO PLEASE MARK ME BRAINLIEST AND FOLLOW ME