A streamer goes downstream from 1 port to another in 9 hrs. It covers the same distance upstream in 10hrs.if the speed of thr stream be 1km/hfind the speed of the streamer in still water nd distance between the ports
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Let the speed of streamer in still water = x km/hr
The speed of stream is = 1 km/hr
The speed of streamer in downstream = (x+1) km/hr (as the streamer is going towards the direction of water current)
The speed of streamer in upstream = (x-1) km/hr (as the streamer is going against the direction of water current)
Time taken to cover downstream = 9 hrs
Time taken to cover upstream = 10 hrs
Distance traveled by streamer in downstream = [(x+1) * 9] km (as distance = speed * time)
=9x+9 km
Distance traveled by streamer in upstream = [(x-1) * 10] = 10x-10
Now as both covers equal distances we can relate the equation as follows:
9x+9 = 10x-10
10x-9x = 10+9
x= 19
As we know we took the speed of streamer as x therefore the speed of the streamer in still water is 19 km/hr.
The distance between the ports can be found by putting the value of x
(10*19) - 10 = 190-10 = 180 km