a streamer goes downstream and cover the distance between two ports in 4 hours while it cover the same distance upstream in 5 hours if the speed of the stream is 2 km/hr, find the speed of the streamer in still water.
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Answer:
Let speed of the streamer in still water= x km/hr
Speed of downstream =(x+2)km/hr
Distance between the ports =4(x+2)km.... (i)
Speed of upstream =(x-2)km/hr
Distance between the ports =5(x−2)km....(ii)
from Equation (i) and (ii)
4(x+2)=5(x−2)
4x+8=5x−10
x=18
∴ Distance between two ports =4(x+2)
=4(18+2)km=80 km
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