Subject: General Aptitude · Chapter: Time and Distance · Exam: · Marks: · Difficulty:
A ship 77 km from the shore, springs a leak which admits 2 tonnes of water in 5 minutes. 92 tonnes 4 2 of water would sink it. But the pumps can throw out 12 tonnes of water per hour. Find the average rate of sailing so that the ship may just reach the shore as it begins to sink.
Answer
Answer (as printed):
Explanation
Quantity of water let in by the leak in 1 min 1 2 4 tonnes = 9 × 2 tonnes = 9 tonnes. = 1 4 11 22 5 2 12 1 Quantity of water thrown out by the pumps in 1 min = tonnes = tonnes. 60 5 9 1 23 Net quantity of water filled in the ship in 1 min = – tonnes = tonnes. 22 5 110 23 tonnes water is filled in 1 min. 110 110 22 92 tonnes water is filled in × 92 min = 440 min = hrs. 23 3 566 QUANTITATIVE APTITUDE 77 3 Hence, required speed = km/hr = 77 × km/hr = 10.5 km/hr. (22/3) 22
Explanation as extracted from the printed page; notation may be imperfect.