A swimmer crosses a river of width $d$ flowing at velocity $v$. While swimming, he heads himself always at an angle of $120^{\circ}$ with the river flow and on reaching the other end he finds a drift of $d / 2$ in the direction of flow of river. The speed of the swimmer with respect to the river is
A swimmer crosses a river of width $d$ flowing at velocity $v$. While swimming, he heads himself always at an angle of $120^{\circ}$ with the river flow and on reaching the other end he finds a drift of $d / 2$ in the direction of flow of river. The speed of the swimmer with respect to the river is
- A
$(2-\sqrt{3)}\,v$
- B
$2(2-\sqrt{3})\,v$
- C
$4(2-\sqrt{3})\,v$
- D
$(2+\sqrt{3})\,v$
Similar Questions
A man is crossing a river flowing with velocity of $5\,\, m/s$. He reaches a point directly across at a distance of $60\,\, m$ in $5 \,\,sec$. His velocity in still water should be ........ $m/s$
A man is crossing a river flowing with velocity of $5\,\, m/s$. He reaches a point directly across at a distance of $60\,\, m$ in $5 \,\,sec$. His velocity in still water should be ........ $m/s$
Thief's car is moving with a speed of $10\,m/s$. A police van chasing this car with a speed of $5\,m/s$ fires a bullet at the thief's car with muzzle velocity $72\,km/h$. Find the speed with which the bullet with hit the car.............$m/s$
Thief's car is moving with a speed of $10\,m/s$. A police van chasing this car with a speed of $5\,m/s$ fires a bullet at the thief's car with muzzle velocity $72\,km/h$. Find the speed with which the bullet with hit the car.............$m/s$
A river is flowing from $W$ to $E$ with a speed of $5 \,m/min$. A man can swim in still water with a velocity $10\, m/min$. In which direction should the man swim so as to take the shortest possible path to go to the south.
A river is flowing from $W$ to $E$ with a speed of $5 \,m/min$. A man can swim in still water with a velocity $10\, m/min$. In which direction should the man swim so as to take the shortest possible path to go to the south.
A person is swimming with a speed of $10\, m /s$ s at an angle of $120^{\circ}$ with the flow and reaches to a point directly opposite on the other side of the river. The speed of the flow is $'x'$ $m / s$. The value of $'x'$ to the nearest integer is ..............
A person is swimming with a speed of $10\, m /s$ s at an angle of $120^{\circ}$ with the flow and reaches to a point directly opposite on the other side of the river. The speed of the flow is $'x'$ $m / s$. The value of $'x'$ to the nearest integer is ..............
- [JEE MAIN 2021]
A man sitting in a bus travelling in a direction from west to east with a speed of $40 \,km/h $observes that the rain-drops are falling vertically down. To the another man standing on ground the rain will appear
A man sitting in a bus travelling in a direction from west to east with a speed of $40 \,km/h $observes that the rain-drops are falling vertically down. To the another man standing on ground the rain will appear