Math, asked by skapilkumar, 9 months ago

sonal can row a boat at a speed of 5km/h.if it takes her 1 hour more to row the boat 5.25kmcupstream than to return downstream,find the speed of the stream

Answers

Answered by Anonymous

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According to the question :

☞ Speed of the stream = ' x '

☞ Speed of the boat upstream = ( 5 - x )

☞ Speed of the boat downstream = ( 5 + x )

☞ Time for 5.25 km = 5.25 / ( 5 - x )

☞ Time for returning 5.25 km = 5.25 / ( 5 + x )

Equation :

=> 5.25 / ( 5 - x ) - 5.25 / ( 5 + x ) = 1

=> 21 / 4 [ ( 1 / 5 - x ) - ( 1 / 5 + x ) ] = 1

=> 21 [ ( 5 + x - ( 5 - x ) ] = 4 [ ( 5 - x ) ( 5 + x ) ]

=> 42x = 4 ( 25 - x^2 )

=> 42x = 100 - 4x^2

=> 42 + 4x^2 = 100

=> 2x^2 + 21x = 50

=> ( x - 2 ) ( 2x + 25 )

=> 0 < x < 5

=> $\sf\large\underline\red{x\:=\:2}$

Speed of the stream = 2 km/h.

Answered by Anonymous

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sonal can row a boat at a speed of 5km/h.if it takes her 1 hour more to row the boat 5.25kmcupstream than to return downstream,find the speed of the stream​

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According to the question :

Equation :

Speed of the stream = 2 km/h.

sonal can row a boat at a speed of 5km/h.if it takes her 1 hour more to row the boat 5.25kmcupstream than to return downstream,find the speed of the stream