New Workshop on Job Profile of RBI Grade B Officer by Susheel Ragade sir
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Question

A Passenger boat started its journey from point A to B .After sometime when it is 156 km away from point B it is started to get sinking and passengers found a hole in it from which 10 `` tonnes of water comes in every 26 minutes. But there is a outlet tap which throws out 13 tones of water in every hour. So, find the speed of the boat so that while it is about to sink, another rescue ship which is coming towards it with speed of 14km/hr can save it and 94 tones of water is sufficient to sink that boat ?

A 18 km/hr Correct Answer Incorrect Answer
B 11 km/hr Correct Answer Incorrect Answer
C 26 km/hr Correct Answer Incorrect Answer
D 22 km/hr Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

In every 26 min, water comes in boat = 31/3 tonnes
So in 1 min, water comes in boat = 31/(3*26) tonnes
So in 1 hr, water comes in boat = 31*60/(3*26) = 310/13 tonnes
and water thrown in 1 hr = 13 tonnes
So final water comes in 1 hr = (310/13) - 13 = (310-169)/13 = 141/13 tonnes
So it will sink overall in = 94/(141/13) = 26/3 hours
So now (x+14) * 26/3 = 156 (as both are in opposite direction, let speed of ship be x kmph)
x+14 = 18
x = 4 kmph
Speed of ship = 4kmph

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