Question

28. A streamer goes downstream and covers the distance
while it covers the same distance upstream in 6 hours. If the speed of the stream
1 km/h, find the speed of the streamer in still water and the distance between two ports​

Answer 1

Answer:

ANSWER

Let the speed of the streamer in still water =x km/hr

the speed of the stream is 3 km/hr

Let the distance covered =d km

Speed downstream =x+3 km/hr

Time taken =5 hr

Distance=speed × time

d=5(x+3)

d=5x+15 ............ (1)

Speed upstream =x−3 km/hr

Time taken =7 hr

Distance=speed × time

d=7(x−3)

d=7x−21 ........... (2)

From (1) and (2),

7x−21=5x+15

7x−5x=15+21

2x=36

x=18 km/hr