Question

A leak in the body of a ship which can admit 5 units of water in 16 minutes got detected when it is 40km
away from the shore. Entry of 60 units of water will cause the ship to sink which has a pump that can throw
out 12 imits of water in an hour. Aided by the pump. what should be the average speed (in km/h) of the ship
m order to reach the shore just before it starts sinking?​

Answer 1

Given :-

• A leak in the body of a ship which can admit 5 units of water in 16 minutes got detected when it is 40km
• away from the shore.
• Entry of 60 units of water will cause the ship to sink.
• A pump that can throw out 12 units of water in an hour .

To Find :-

• what should be the average speed (in km/h) of the ship in order to reach the shore just before it starts sinking ?

Solution :-

given that,

→ in 16 minutes water is entering inside ship = 5 units .

so,

→ in 1 minute water is entering inside ship = (5/16) units.

also,

→ in 60 minutes water thrown out of the ship = 12 units.

→ in 1 minute water thrown out of the ship = (12/60) = (1/5) units.

then,

→ in 1 minute water entering inside ship = (5/16) - (1/5) = (25 - 16)/80 = (9/80) units.

Therefore,

→ Time taken by ship before sink = (maximum water ship can hold before sink) / (water entering inside ship per minute) = 60/(9/80) = (60 * 80)/9 = (1600/3) minutes = (1600/3) * (1/60) = (80/9) hours.

Hence,

→ Average speed of ship = (Distance from the shore /Time taken by ship before sink) = 40 / (80/9) = (40 * 9)/80 = 4.5 km/h .

∴ The average speed (in km/h) of the ship in order to reach the shore just before it starts sinking is 4.5 .

(Nice question).

Learn more :-

A train starting from a station X was to arrive at a station Y at 6:06 PM. It could travel at 62.5% of its usual

speed a...

https://brainly.in/question/26746228