Symbiosis National Aptitude Test SNAP 2012 Paper

Question : 19 of 150

Marks: +1, -0

A leak was found in a ship when it was 77 km from the shore.
It was found that the leak admits 2.25 tonnes of water in 5.5 minutes. 92 tonnes will suffice to sink the ship. But the pumps can throw out the water @ 12 tonnes an hour. Find the average rate of sailing at which the ship may reach the shore as it begins to sink.

9.75 km/h
13 km/h
14.5 km/h
10.5 km/h

Validate

Solution:

Capacity of water throwing pump
=

{12}/{60} × 5.5

= 1.1 tonnes per 5.5 minutes
Capacity of the leak to admit water = 2.25 tonnes per 5.5 minutes
In 5.5 minutes, net water accumulated by the leak = (2.25 – 1.1) = 1.15 tonnes
Thus, to admit 92 tonnes of water, it will take

{5.5}/{1.15} × 92

= 440 min =

{440}/{60}

hrs
Speed required for the ship to sail through safely =

{77×60}/{440}

= 10.5km/ h

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