Math, asked by karthikguttu, 10 months ago

A motoR boat whose speed is 18kmph in still water it takes 1h to go 24 kms upstream than to return down stream to same spots. Find the speed of stream

Answers

Answered by DreamerJeeva
1

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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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