A boat is sent across a river with a velocity of 8 km/hr. If the resultant velocity of boat is 10 km/hr, then velocity of the river is :

10 km/hr

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8 km/hr

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6 km/hr

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4 km/hr

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Solution

The correct option is C 6 km/hr

Given $¯ ¯¯¯¯¯¯ ¯ A B =$ Velocity of boat =8 km/hr
AC= Resultant velocity of boat = 10 km/hr
$¯ ¯¯¯¯¯¯ ¯ B C =$ Velocity of river $= \sqrt{A C^{2} - A B^{2}}$
$= \sqrt{(10)^{2} - (8)^{2}}$ = 6 km/hr

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A boat is sent across a river with a velocity of 8 km/hr. If the resultant velocity of boat is 10 km/hr, then velocity of the river is :

The correct option is C 6 km/hr Given ¯¯¯¯¯¯¯¯AB= Velocity of boat =8 km/hr AC= Resultant velocity of boat = 10 km/hr ¯¯¯¯¯¯¯¯BC= Velocity of river =√AC2−AB2 =√(10)2−(8)2 = 6 km/hr

The correct option is C 6 km/hr

Given $¯ ¯¯¯¯¯¯ ¯ A B =$ Velocity of boat =8 km/hr
AC= Resultant velocity of boat = 10 km/hr
$¯ ¯¯¯¯¯¯ ¯ B C =$ Velocity of river $= \sqrt{A C^{2} - A B^{2}}$
$= \sqrt{(10)^{2} - (8)^{2}}$ = 6 km/hr