A man crosses a $320\, m$ wide river perpendicular to the current in $4$ minutes. If in still water he can swim with a speed $5/3$ times that of the current, then the speed of the current, in $m/min$ is
A man crosses a $320\, m$ wide river perpendicular to the current in $4$ minutes. If in still water he can swim with a speed $5/3$ times that of the current, then the speed of the current, in $m/min$ is
- A
$30$
- B
$40$
- C
$50$
- D
$60$
Similar Questions
A person running horizontally observes that rain is falling on his head vertically with speed $10\,m/s$. He stops and observes that rain is coming at an angle $30^o$ with vertical. Find the speed of rain w.r.t. ground
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A motorboat is racing towards north at $25\; km / h$ and the water current in that region is $10\; km / h$ in the direction of $60^{\circ}$ east of south. Find the resultant velocity of the boat.
$Assertion$ : The magnitude of velocity of two boats relative to river is same. Both boats start simultaneously from same point on one bank may reach opposite bank simultaneously moving along different paths.
$Reason$ : For boats to cross the river in same time. The component of their velocity relative to river in direction normal to flow should be same.
$Assertion$ : The magnitude of velocity of two boats relative to river is same. Both boats start simultaneously from same point on one bank may reach opposite bank simultaneously moving along different paths.
$Reason$ : For boats to cross the river in same time. The component of their velocity relative to river in direction normal to flow should be same.
- [AIIMS 2015]
Out of the two cars $A$ and $B$, car $A$ is moving towards east with a velocity of $10 \,m / s$ whereas $B$ is moving towards north with a velocity $20 \,m / s$, then velocity of A w.r.t. $B$ is ......... $m / s$ (nearly)
Out of the two cars $A$ and $B$, car $A$ is moving towards east with a velocity of $10 \,m / s$ whereas $B$ is moving towards north with a velocity $20 \,m / s$, then velocity of A w.r.t. $B$ is ......... $m / s$ (nearly)