A ship develop a leak 20 km from the shore. Despite the leak ship is able to move 12km/hr toward the shore. However ship can only afloat 23 min.
If a rescue vessel were from the shore to the ship it takes 8 min to rescue the passenger. What should be minimum speed of rescue vessel.
Answers
Find the duration that the rescue vessel needs to reach the ship:
Time needed for rescue = 8 min
Time the rescue boat needs to reach the ship = 23 min - 8 min
= 15 min
= 1/4 hour
Find the distance the ship will have traveled in 1/4 hour:
Distance = Speed x time
= 12 x 1/4
= 3 km
Find the distance the rescue vessel will have traveled in 1/4 hour:
Distance = 20 - 3
= 17 km
Find the speed of the rescue vessel:
Speed = Distance ÷ Time
= 17 ÷ 1/4
= 68 km/h
Answer: The rescue vessel has to travel at 68 km/h
Given:
Ship 20 km from the shore.
12 km/hr towards the shore
23 minutes to drown
8 minutes for the rescue vessel to reach the ship
To find:
The minimum speed of rescue vessel.
Calculation:
To find the time left to rescue,
8 minutes for the rescue vessel to reach the ship
And so,
Time taken by the rescue vessel to reach the ship = Time the ship can float - Time taken for rescue
Time taken by the rescue vessel to reach the ship = 15 min
In hour,
Time left = 1/4 hour
To find the distance of the ship that would have traveled in 1/4 hour,
By formula,
Speed = Distance / Time
Distance = Speed x time
Distance = 12 x 1/4
Distance the ship that would have traveled in 1/4 hour = 3 km
To find the distance of the rescue vessel that would have traveled in 1/4 hour,
Distance = Distance from the shore - Distance the ship that would have traveled in 1/4 hour
Distance = 20 - 3
Distance the rescue vessel that would have traveled in 1/4 hour = 17 km
To find the required speed of the rescue vessel,
Speed = Distance / Time
Speed = Distance the rescue vessel that would have traveled in 1/4 hour / Time left
Speed = 17 / 1/4
Therefore,
The minimum speed of rescue vessel = 68 km/hr