Question

$Question$

'A boat covers a certain distance downstream in 3 hrs and the same distance upstream in 5 hrs. If the speed of the boat in still water is 8km/hour, find the speed. of the stream. '

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Answer 1

Answer:

Met distance be LCM(3,5,18) = 90 km

Upstream speed (US) = 90/5 = 18 kmph

Downstream speed (DS) = 90/3 = 30 kmph

Speed of boat = (DS + US)/2 = (30+18)/2 = 24

Speed of current = (US - DS)/2 = (30 - 18)/2

= 6 kmph.

If Boat speed= 24,

river speed = 6 kmph

If Boat speed= 18,

river speed = 6/24 x 18 = 4.50 kmph

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Answer 2

Answer:

Let the speed of boat in still water be x km/hr and the distance be y km.

Speed in downstream = (x+8) km/hr

Speed in upstream (x−8) km/hr

According to the question,

x+8y = 3 ....(1)

x−8y=24..(2) 

On dividing equation (1) by (2),

x+8x−8=24×2=48

⇒7x−10.5=6x+9

⇒x=10.5+9

=19.5km/hr