Question

A boat take 6 hrs to travel 36 km downstream and 24 km upstream. It takes 9 hrs to travel 48 km downstream and 40 km upstream. Find the speed of the stream and that boat of in water still.​

Answer 1

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AND QUESTION

A BOAT TAKES 6HRS TO TRAVEL 36 KM DOWNSTREAM AND 24 KM UPSTREAM . IT TAKES 9 HRS TO TRAVEL 48 KM DOWNSTREAM AND 40 KM UPSTREAM . FIND THE SPEED OF THE STREAM AND THE BOAT OF IN WATER STILL

Answer 2

Answer:

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