Challenging question
A ship is 77 km from the shore, springs a leak which admits 2 1/4 ton of water in every 5 1/2 min. An outlet tank can throw out 12 tons of water per hour. Find at what speed it should move such that when it begins to sink a rescue ship moves with 6 km/hr escapes the passengers of the ship if 69 ton of water is enough to sink?
a)6 km/hr b)8 km/hr c)10 km/hr d)12 km/hr
Answers
hope this is the answer to your challenge problem
Ship should move at a speed of 8 km/hr to escapes the passengers of the ship
Step-by-step explanation:
A ship is 77 km from the shore
a leak which admits 2 1/4 ton of water in every 5 1/2 min.
=> 9/4 ton water admits in 11/2 mins
=> 9/2 water admits in 11 min
=> 9/22 water admits in 1 min
=> 60 * 9/22 water admits in 60 min = 1 hr
= 270/11 ton every hr
An outlet tank can throw out 12 tons of water per hour
=> every hr net water admit = 270/11 - 12 = 138/11 ton
138/11 ton water in 1 hr
1 tom water = 11/138 hr
69 ton water in = 69 * 11 /138 = 11/2 hrs
Let say speed of ship = S km/hr
Speed of rescue ship = 6 km/Hr
Effective speed = (S + 6) km/Hr
Time = 11 /2 Hrs
Distance = 77 km
=> (S + 6) (11/2) = 77
=> S + 6 = 14
=> S = 8
Ship should move at a speed of 8 km/hr
Learn more:
A and B left kanpur simultaneously and travelled Lucknow.A speed ...
https://brainly.in/question/13033653
27. A police jeep is chasing with speed of 30 m/stowards a thief ...
https://brainly.in/question/10608514