Question

A steamer goes downstream from one point to another in 7 hours. It covers the same distance upstream in 8 hours. If the speed of stream be 2 km/h, find the speed of the steamer in still water and the distance between the ports.i​

Answer 1

Answer:

Given, distance covered in 8 hours while upstream = 8(x - 2). ⇒ x = 30. = 224 km.

Answer 2

speed of stream = 2 km/hr

let speed of boat (in still water) = x km/hr

while going downstream his speed = x+2 km/hr

and going upstream = x-2 km/hr

now A/Q

dis /x+2=7⇒ dis = 7 (x+2) --------(1)

and dis /x-2 = 8⇒ dis = 8(x-2)---------(2)

(1) = (2)

7x + 14 8x - 16 ⇒x= 30 km/hr and dis = 7(30+2) = 7 x 32 = 224 km