A boat takes 2 hours to go 50 km from A to B down the stream. But for

1.	A boat takes 2 hours to go 50 km from A to B down the stream. But for return journey from B toA, it takes 3 hours. Find the uniform speed of the boat in still water and the uniform speed ofthe stream.
Answer» Boat speed=xkm/hcurrent speed=ykm/hagainst current x-y3.00hourswith current x+y2.00hours Distance = same=50kmt=d/r50/(x-y)=3.003(x-y)=50.003x-3y=50....................150/(x+y)=2.002.00(x+y)=502.00x+2.00y=50...............2Multiply (1) by 2.00Multiply (2) by3.00we get6x-6y=1006x+6y=15012x=250/12x =125/6km/h plug value of x in (1)3x-3y=50125/2-3y=50-3y=50-125/2-3y=-25/2y=25/6km/hThe speed of Boat =125/6km/hThe speed of current =25/6km/h

A boat takes 2 hours to go 50 km from A to B down the stream. But for return journey from B toA, it takes 3 hours. Find the uniform speed of the boat in still water and the uniform speed ofthe stream.

Answer»

Boat speed=xkm/hcurrent speed=ykm/hagainst current x-y3.00hourswith current x+y2.00hours

Distance = same=50kmt=d/r50/(x-y)=3.003(x-y)=50.003x-3y=50....................150/(x+y)=2.002.00(x+y)=502.00x+2.00y=50...............2Multiply (1) by 2.00Multiply (2) by3.00we get6x-6y=1006x+6y=15012x=250/12x =125/6km/h

plug value of x in (1)3x-3y=50125/2-3y=50-3y=50-125/2-3y=-25/2y=25/6km/hThe speed of Boat =125/6km/hThe speed of current =25/6km/h

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A boat takes 2 hours to go 50 km from A to B down the stream. But for return journey from B toA, it takes 3 hours. Find the uniform speed of the boat in still water and the uniform speed ofthe stream.

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