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Q 16 A ship carrying 14 persons, after travelling 22 km from the shore, develops a hole and water starts to enter it. The ship now started moving towards the shore
at the speed of 4 Km/hr. By the end of 27 minutes, the ship will sink. It will take 30 seconds to rescue each person. What will the minimum speed required for
the rescuing team to reach the ship?
Ops: A.
B.
c.
D.
67 Km/hr
62 Km/hr
66 Km/hr
68 Km/hr​

Answer 1

Given:

14 persons on the ship

The ship is 22 km from the shore

It is traveling back to shore at 4 km/h

The ship will sink in 27 minutes

It takes 30 seconds to rescue one person

To FInd:

The speed of the rescue team

Solution:

Find the total time needed to save 14 persons:

1 person = 30 seconds

14 persons = 30 x 14

14 persons = 420 seconds

14 persons = 7 minutes

Find the amount of time the rescue team must reach the ship:

Max time taken to travel = 27 - 7

Max time taken to travel = 20 mins

Max time taken to travel = 1/3 hour

Find the speed needed:

Speed = Distance ÷ Time

Speed = 22 ÷ 1/3

Speed = 66 km/h

Find the speed of the rescue team:

Speed of the ship = 4 km/h

Speed of the rescue team = 66 - 4

Speed of the rescue team = 62 km/h

Answer: (B) 62 km/h

Answer 2

$\large\underline\mathrm{Solution}$

The total time needed to save 14 person.

$\implies$ 1 person = 30 sec

$\implies$ 14 person = 30 × 14 $\implies$ 420 sec

$\implies$ 7 min.

The amount of time the rescue team in the ship.

$\implies$ The total time taken travel = 27 - 7 = 20 min

$\implies$ 1/3 hours

$\implies$ The speed = Distance × time

$\implies$ 22/(1/2)

$\implies$ 22 × 3

$\implies$ 66

The speed of the rescue.

speed of the ship = 4 km/h

$\implies$ 66 - 4

$\implies$ 62 km/h.