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At the distance of 45 km from the shore, a hole is found in the ship which supply 4¼ tonnes of water in 15 min. Ship contains the extraction pump which remove the water from the ship at the rate of 12 tonnes/hr. 60 tonnes of water would sink it. The average speed of sailing to reach the shore just before sink is

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At the distance of 45 km from the shore, a hole is found in the ship which supply 4¼ tonnes of water in 15 min. Ship contains the extraction pump which remove the water from the ship at the rate of 12 tonnes/hr. 60 tonnes of water would sink it. The average speed of sailing to reach the shore just before sink is


1). 3.75 kmph
2). 0.6 kmph
3). 5 kmph
4). 1.5 kmph


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Answered by on | Votes 1 |

Distance from the shore(d) = 45 km

Water enter per hour in ship by hole = 4¼ tonnes in 15 min = 4.25/0.25 = 17 tonnes

(? 1 hr = 60 min)

Water leaving the ship per hour by pump = 12 tonnes/hr

Amount of water remaining at the end of the hour = 17 - 12 = 5 tonnes/hr

Time taken to sink the ship = 60/5 = 12 hr

Average speed of sailing to reach the shore just before = Distance/Time = 45/12 = 3.75 km/hr

∴ The average speed of sailing to reach the shore just before sink = 3.75 km/hr

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