A ship 156 km from the shore develops a leak which admits 2.5 metric tons of water in 6 minutes and 30 seconds. A quantity of 68 metric tons would □suffice to sink the ship, but luckily the ship's pumps can throw out 15 metric tons in an hour. The average rate of sailing so that it just reaches the shore from where it left as it begins to sink should be :
Solution
The ship admits 2.5 metric tons of water in 6 minutes and 30 seconds.
Water Influx rate = $$\frac{2.5}{\ \frac{\ 6.5}{60}}$$ metric tons/hr = 23.07 metric tons/hr
Water outflux rate = 15 metric tons/hr
Net influx rate = 23.07-15 = 8.07 metric tons/hr
Time after which ship starts sinking = $$\ \frac{\ 68}{8.07}$$ = 8.42 hours
Average rate of sailing=$$\frac{156}{8.42}$$=18.53kmph
Closest option is option C.
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