A boat takes 2 hours more to travel 45 km upstream than to travel the same distance downstream. If the ratio of the speed of current to the speed of boat is 1 ∶ 4, then find the speed of the current.

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A boat takes 2 hours more to travel 45 km upstream than to travel the same distance downstream. If the ratio of the speed of current to the speed of boat is 1 ∶ 4, then find the speed of the current.

A5 km/hr

B9 km/hr

C3 km/hr

D6 km/hr

Answer:

C. 3 km/hr

Read Explanation:

Let the speed of current and speed of boat be 'x' km/hr and '4x' km/hr respectively. ⇒ 45/(4x - x) = 45/(4x + x) + 2 ⇒ 45{(1/3x) - (1/5x)} = 2 ⇒ 45(2/15x) = 2 ⇒ x = 3 km/hr

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