Question

A steamer goes down stream from one point to another in 9 hours. It covers the same distance upstresp in 10 hours. If the speed of the stream be 1km/h,find the speed of the streamer in still water and the distance between the ports.

Answer 1

Let the speed of the boat in still water be = x km/hrs.
speed in downstream =(x+1)km/hrs.
speed in upstream =(x-1)km/hrs.
speed=distance/time.
distance =speed *time.
distance covered in 9 hrs at (x+1)km per hour.=9(x+1).
distance covered in 10 hrs at (x-1)km/hrs =10(x-1).
at the distance in the same 9(x+1)=10(x-1)
9x+9=10x-10
9+10=10x-9x
19=x
x=19km/hrs answer ::
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9(x+1)=9*19+1=180km per h

Answer 2

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