Question 34

A ship, 40 km from the shore, springs a leak which admits 3 3/4 tonnes of water in 15 min. 60 tonnes would suffice to sink her, but the ship’s pumps can throw out 12 tonnes of water in one hour. Find the average rate of sailing, so that it may reach the shore just as it begins to sink.

Solution

Quantity of water let in by the leak in 1 hr= 15 tonnes

Quantity of water thrown out by the pumps in 1 hr = 12 tonnes

Net quantity of water filled in the ship in 1 hour =15-12=3 tonnes

60 tonnes water is filled in  = 60/3= 20 hours

Required speed = 40/20= 2kmph


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