Question
Pipe 'A' can fill a tank in 24 hours. Pipe 'B' is ____% as
efficient as pipe 'A'. If both pipes are opened simultaneously, the tank will be completely full in ____hours.The values given in which of the following options will fill the blanks in the same order in which is it given to make the statement true: I. 200, 8 II. 50, 16 III. 300, 6Solution
Let the capacity of the tank be '120x' litres.
So, efficiency of pipe 'A' = 120x ÷ 24 = '5x' litres/hour
For: I Efficiency of pipe 'B' = 5x × 2.00 = '10x' litres/hour
Time taken by both pipes together to fill the tank = 120x ÷ (10x + 5x) = 120x ÷ 15x = 8 hours Therefore, statement 'I' is true.
For: II
Efficiency of pipe 'B' = 5x × 0.50 = '2.5x' litres/hour
Time taken by both pipes together to fill the tank = 120x ÷ (2.5x + 5x) = 120x ÷ 7.5x = 16 hours
Therefore, statement 'II' is true.
For: III Efficiency of pipe 'B' = 5x × 3.00 = '15x' litres/hour
Time taken by both pipes together to fill the tank = 120x ÷ (15x + 5x) = 120x ÷ 20x = 6 hours
Therefore, statement 'III' is true.
A jar contains a mixture of two types of oil, A and B. Oil A costs Rs 60 per litre and oil B costs Rs 90 per litre. In what ratio should A and B be mixe...
In what ratio coffee at 255 Rs/kg should be mixed with the coffee at 310 Rs/kg so that after mixture its rate become 270 Rs/kg if the quantity of 1st ty...
A milk vendor has 93 litres of cow pure milk, 62 litres of toned milk and 124 litres of double toned milk. If he wants to pack them in cans so that each...
In a zoo, tiger and ostrich were counted. If heads were counted, there are 400 and if legs are counted there were 820. How many ostrich are there?
Cost of two types of pulses is Rs.12 and Rs, 17 per kg, respectively. If both the pulses are mixed together in the ratio 2:3, then what should be the pr...
A car travel 20km/h for 30 min and at x km/h for 45 min. If the average speed of the car for entire journey is 14 km/h find the value of x.
In what ratio mixtures of 22% concentration of alcohol and 35% concentration of alcohol are to be added so that the resultant mixture will have 30% conc...
Out of 10 men, 3 are wearing red caps, 4 are wearing green caps, and the remaining men are wearing orange caps. They are to be seated in a linear row. I...
A, B and C alone can complete a work in 20, 30 and 25 days respectively. All of them started working together but after 4 days from start A left the job...
How much groundnut powder at Rs. 90 a kg. should be added to 56 kg. of cashew powder at Rs.310 a kg. so that by selling the mixture for Rs. 280 a kg, a ...
Relevant for Exams:
