A ship is 72 kms away from the shore. It springs a leak in the bottom which admits 3 ⅖ tons of water in 12 minutes. 60 tons of water would suffice to sink her, but the ship’s pump can throw out 12 tons of water in an hour. Find the minimum speed of the ship, so that she may reach the shore just before ship begins to sink.
Explanation:
3 ⅖ tons of water is admitted in 12 mins.
So, in 60 mins (17/5 × 60/12) = 17 tons of water is admitted i.e. 17 tons/hr.
So, net inlet of water = 17 – 12 = 5 tons/hr to sink
Hence, to admit 60 tons it has 60 ÷ 5 = 12 hours
The ship needs to cover a distance of 72 kms in 12 hours to avoid sinking.
Speed of ship = 72/12 = 6 km/hr
Hence, option (d).
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