Question

A motorboat whose speed is 18km/h in still water takes 1hr More to go 24km upstream than to return downstream to the same spot. Find the speed of the stream

Answer 1

24/18+y +1= 24/18-y

1=24/18-y -24/18+y

532+24y- 532+24y/324-y2=1

y2+42y -324=0

Y=-48+-√2304+1296/2

Y=-48+-√3600/2

Y=-48+60/2 ,-48-60/2

Y=12/2,  -108/2

Y=6km/h, -54km/h

Speed can't be negative  so

Y= 6

Plus mark BRAINLIIEST

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

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