Question

A captain can navigate a ship at a speed of 5 km/hr in calm waters. With a current moving at a speed of 3 km/hr, he takes 12 hours longer to travel 'd' km upstream compared to traveling the same 'd' km downstream. Determine the value of '2d'.

A 50 km Correct Answer Incorrect Answer
B 25 km Correct Answer Incorrect Answer
C 64 km Correct Answer Incorrect Answer
D 60 km Correct Answer Incorrect Answer
E none of these Correct Answer Incorrect Answer

Solution

we can say that, Upstream speed of the Ship = 5 – 3 = 2 km/hr Downstream speed of the Ship = 5 + 3 = 8 km/hr ATQ, (d/2) – (d/8) = 12 Or, 4d – d = 12 × 8 Or, d = 96/3 = 32 Therefore, 2d = 64 km

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