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
Answers
Answered by
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✌️
Answered by
0
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
Similar questions