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(1/3) ` ` 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 ?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 Â
The ratio of the pocket money of two persons ‘X’ and ‘Y’ is 7:4, respectively. ‘X’ spends 60% of his pocket money while ‘Y’ spends 50% o...
If A varies directly as B and inversely as C and A = 10, B = 5 and C = 7, what is the value of A when B = 8 and C = 7?
The number of chocolates in boxes 'A', 'B', and 'C' are in the ratio 4:7:9. Combined in all 3 boxes, the total is 140 chocolates. If 4 chocolates are tr...
A sum of Rs. ' K ' was intended to be distributed among Bunty, Babli, and Munna in the ratio of 2:3:4. However, due to an error, the amount was mistaken...
Monthly savings of ‘Q’ is 25% more than that of ‘P’ and is 48% less than monthly income of ‘P’. Monthly expenditure of ‘Q’ is Rs. 3450 a...
The average height of three boys is 170 cm. If their heights are in the ratio 6:4:7, what is the height of the tallest boy?
What is the fourth proportional to 2, 5, 12?
The ages of X and Y are in the proportion of 6: 5 and the total of their ages is 66. The proportion of their ages after 4 years will be:
Rahul and Tarun scored marks in the ratio 6:5. If Rahul had scored 4 marks more and Tarun had scored 5 marks less, the ratio of their marks would have b...
Marks scored by A and B in a test are in the ratio 15:7 respectively. If B had scored 10 more marks, then marks scored by A would be 25% more than that ...