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# A ship 45kms away from the nearest port develops a leak and

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A ship 45kms away from the nearest port develops a leak and [#permalink]  06 Mar 2004, 17:02
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A ship 45kms away from the nearest port develops a leak and water seaps into the ship at the rate of 5 tonnes every 20 minutes. When 30 tonnes of water gets into the ship the ship will sink. However, the ship's pump can throw out water at the rate of 5 tonnes an hour. What should be the minimum speed at which the ship should sail so that it reaches the port safely?
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5 tonnes per 20 minutes = 15 tonnes per hour.
Since ship is pumping 5 tonnes per hour efective water intake is 10 tonnes per hour. To fill 30 tonnes you nned 3 hours.
45/3 = 15 miles per hour should be the minimum speed.
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Quote:
A ship 45kms away from the nearest port develops a leak and water seaps into the ship at the rate of 5 tonnes every 20 minutes. When 30 tonnes of water gets into the ship the ship will sink. However, the ship's pump can throw out water at the rate of 5 tonnes an hour. What should be the minimum speed at which the ship should sail so that it reaches the port safely?

Permited time to reach to port is 3 HRs. (bcoz every hour 10tonnes water get into the ship)
So speed must be > 15km/hr

Dharmin
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