a motor boat speed 20 km per h in still water takes one hour more to g

1.	a motor boat speed 20 km per h in still water takes one hour more to go 48 upstream than to return downstream to same spot find the speed of stream
Answer» Answer: The “speed of the given stream” is 4km/hr. Solution: Now let us take the speed of the stream as x Therefore, the speed of BOAT upstream is EQUAL to \frac{48}{20-x} and the speed of the boat downstream is \frac{48}{20+x}. Now as to find the value of the speed of the stream we subtract the speed of downstream from upstream we get: \frac{48}{20-x}-\frac{48}{20+x}=1 48(2 x)=400-x^{2} x^{2}+96 x-400=0 x(x+100)-4(x+100) x=4,-100 Now as we can see that after solving the equation we get two VALUES one is 4 and the other one is -100. Now the value of speed can never be negative therefore x = 4 km/hr is the CORRECT value for the speed of the stream.

a motor boat speed 20 km per h in still water takes one hour more to go 48 upstream than to return downstream to same spot find the speed of stream

Answer»

Answer:

The “speed of the given stream” is 4km/hr.

Solution:

Now let us take the speed of the stream as x

Therefore, the speed of BOAT upstream is EQUAL to \frac{48}{20-x} and the speed of the boat downstream is \frac{48}{20+x}.

Now as to find the value of the speed of the stream we subtract the speed of downstream from upstream we get:

\frac{48}{20-x}-\frac{48}{20+x}=1

48(2 x)=400-x^{2}

x^{2}+96 x-400=0

x(x+100)-4(x+100)

x=4,-100

Now as we can see that after solving the equation we get two VALUES one is 4 and the other one is -100. Now the value of speed can never be negative therefore x = 4 km/hr is the CORRECT value for the speed of the stream.

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