Question

A steamer is going downstream covers the distance between two ports in 10 hours while moving up stream it covers the same distance in 12 hours. If the speed of the stream is 5 km/ h. Find the speed of the steamer in still water.​

Answer 1

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EXPLANTAION:

• A streamer going downstream =(X + 5 )km/hr

In 1 hr it will go (x+5)

In 10 hrs it will go 10(x+5)=10x+50.

• A streamer going upstream =(x-5)km/hr

In 1hr it will go (x-5)

In 12 hrs it will go 12(x-5)= 12x-60.

• The Distance Between two ports

= 10x+50=12x-60

= 10x-12x= -60-50

= -2x= -110

x= -110/-2=55

So, the speed of the streamer in the still water is 10(55+5)=600km/hr.

Thank you.