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A ship develops a leak 12 km from the shore. Despite the leak, the ship is able to move towards the shore at a speed of 8 km/hr. However, the ship can stay a float only for 20 minutes. If a rescue vessel were to leave from the shore towards the ship and it takes 4 minutes to evacuate the crew and passengers of the ship, what should be the minimum sped of the rescue vessel in order to be able to successfully rescue the people aboard the ship?

A

53 km/hr

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B

37 km/hr

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C

28 km/hr

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D

44 km/hr

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Solution

The correct option is B 37 km/hr
The distance between the rescue vessel and the ship , which is 12 km has to be covered in 16 minutes

The ship can float only 20 min and it takes 4 min to evacuate the people abroad the ship

Therefore the two vessel shold move towards each other at speed of $\frac{1216}{60} k m / h$

= $12 \times 6016 = 45 k m / h$

The ship is moving at a speed of 8km/h.
Therefore the rescue vessel should move at 45-8=37km/h.

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