Question

A motorboat whose speed is 18 km per hour in stillwater , takes q hrs more to go 24 km upstream then find speed of downstrem

Answer 1

24km / 18-x km/h = 24 km/18 + x km/h = 1hr

432 + 24x - 432 + 24x / (18-x)(18+x) = 1

48x = 324 - x^2

x^2 + 48x - 324 = 0

x^2 + 54x - 6x - 324 = 0

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

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

x+54 = 0 or x - 6 = 0

x = -54 or x = 6

x=6 (speed of the stream cannot be negative)

thus, the speed of stream is 6km/h

♥️Hope it helps you♥️

✌️Mark as brainlist✌️

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