A boat crosses a river from port 𝐴 to port 𝐵, which are just on the opposite side. The speed of the water is 𝑉𝑊 and that of boat is 𝑉𝐵 relative to still water. Assume 𝑉𝐵 = 2𝑉𝑊. What is the time taken by the boat, if It has to cross the river directly on the 𝐴𝐵 line

Question : A boat crosses a river from port 𝐴 to port 𝐵, which are just on the opposite side. The speed of the water is 𝑉𝑊 and that of boat is 𝑉𝐵 relative to still water. Assume 𝑉𝐵 = 2𝑉𝑊. What is the time taken by the boat, if It has to cross the river directly on the 𝐴𝐵 line

(A) \dfrac{2D}{V_{B}\sqrt{3}}

(B) \dfrac{\sqrt{3}D}{2V_{B}}

(C) \dfrac{D}{V_{B}\sqrt{2}}

(D) \dfrac{D\sqrt{2}}{V_{B}}

Answer : option (A)

Solution :

A boat crosses a river from port 𝐴 to port 𝐵, which are just on the opposite side. The speed of the water is 𝑉𝑊 and that of boat is 𝑉𝐵 relative to still water. Assume 𝑉𝐵 = 2𝑉𝑊. What is the time taken by the boat, if It has to cross the river directly on the 𝐴𝐵 line
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