Math, asked by rishabh1308005, 10 months ago

LE 26 A motorboat whose speed in still water is 24 km/hr, takes 1 hour
more to go 32 km upstream than to return downstream to the same
spot. Find the speed of the stream.

Answers

Answered by khsitizpandey2456
1

Answer:

Total Distance = 32km

Speed in Still Water = 24km/hr

Let the speed of stream be 'x' kmph

then, Speed moving upstream = 24-x

Speed moving downstream = 24+x

We know that is time

On reducing it to a quadratic equation,

we get - x^{2} + 64x-576=0x

2

+64x−576=0

On solving it by splitting the middle term method (8&72 as factors) we get,

x = 8 or -72

Since, the speed cannot be negative, x = 8

Therefore, the speed of the stream is 8 km/hr

Answered by VarshaS553
0

Let the speed of the stream be x km\hr.

The speed of the boat upstream = (18 - x) km/hr

The speed of the boat downstream = (18 + x) km/hr

Distance = 24 km

As given in the question,

Time for upstream = 1 + Time for downstream

24/(18 - x) = 1 + 24/(18 + x)

24/(18 - x) - 24/(18 + x) = 1

x2 + 48x - 324 = 0

(x + 54)(x - 6) = 0

x ≠ - 54 as speed cannot be negative.

x = 6

The speed of the stream = 6 km/hr

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