Time, Speed & Distance
Aptitude

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Q.

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 afloat 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 speed of the rescue vessel in order to be able to successfully rescue the people aboard the ship?

 A.

53 km/hr

 B.

37 km/hr

 C.

28 km/hr

 D.

44 km/hr

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Solution:
Option(B) is correct

The distance between the rescue vessel and the ship, which is 12 km has to be covered in 16 minutes. (The ship can stay afloat only 20 minutes and it takes 4 minutes to evacuate the people aboard the ship). Therefore, the two 

vessels should move towards each other at a speed of  \(\dfrac{12}{16/60}\) km/hr

\(=\dfrac{12\times 60}{16}\)

= 45 km/hr.

The ship is moving at a speed of 8 km/hr. Therefore, the rescue vessel should move at a speed of $45−8$ = 37 km/hr.


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