The distance between two towns A and B is 240 km. Two buses start from these towns towards each other. They can meet halfway if the first bus leaves 1 hour earlier than the second. If they start simultaneously, they will meet in 4/3 hours. Find the speeds of the buses.
Two alloys contain tin and brass in the ratio 3:5 and 3:2. 24kg of the first alloy and 10kg of the second alloy and some amount of pure tin are melted and mixed. If the resultant alloy has 50% tin find the weight of the new alloy?
In a class of 33 students, 20 play cricket, 25 football, 18 volleyball, 15 play both cricket & football, 12 football & volleyball, 10 cricket & volleyball. If each student plays at least one game, find the number of students who play only cricket
The result of an exam is given below. Out of 1,000 students who appeared
i) 658 failed in Physics
ii) 166 failed in Physics and Chemistry
iii) 372 failed in Chemistry, 434 failed in Physics and Maths, 590 failed in Maths, 126 failed in Maths and Chemistry.Find the number of people who failed in Chemistry but not Physics.
A single refined oil can contain 20% impurities. After double refining it contains 4% impurities. How much of double refined oil can be obtained from 30 litres of single refined oil?
There are two alloys of gold, silver and platinum. The first alloy is known to contain 40 percent of platinum and the second alloy 26 percent of silver. The percentage of gold is the same in both alloys. Having alloyed 150 kg of the first alloy and 250 kg of the second, we get a new alloy that contains 30 percent of gold. How many kilogram of platinum is there in the new alloy?
The rates at which Alok and Bhaskar work are in the ratio 5 : 4. If they work on alternate days to complete a job. Bhaskar started the job and he worked on the last day. The job was completed in 1 day more than the time that Alok alone would take to complete it. Find the time taken (in days) by them working together to complete the job.
A swimmer jumps from a bridge over a canal and swims 4 km upstream. after that 4 km he passes a floating cork. He continues swimming for an hour and then turns around and swims back to the bridge. The swimmer and the cork arrive at the same time. What is the speed of the water if the speed of the swimmer has been constant?
the radii of two concentric circles are 13 cm and 8 cm. AB is a diameter of the bigger circle and BD is a tangent to the smaller circle touching it at D and the bigger circle at E. Point A is joined to D. the length of AD is
the percentage volume of alcohol in three solutions M, N and O form a geometric progression in that order. If we mix the first, second and third solutions in the volume ratio of 2:3:4, we obtain a solution containing 32% alcohol . If we mix them in the ratio 3:2:1 by volume, we obtain a solution containing 22% alcohol. what is the percentage of alcohol in M ?
a milkman diluted milk to an extent of 25% of the original volume of pure milk with water and price it same as the cost price of milk. Part of the water evaporated and the volume was reduced to 23/25th of the diluted volume. The profit percent to the milkman is
there containers X, Y and Z have a capacities of 10 , 20 and 30 litre respectively. X, which is empty is filled with water from Y. Y is then filled with the wine from Z. X is now emptied into Z. The entire operation is repeated. What would be the strength of wine in the container Z?
the area of an isosceles trapezium is 176 cm^2 and the height is 2/11th of the sum of its parallel sides. If the ratio of the length of the parallel sides be 4:7 , then the length of a diagonal is
A and B are moving along 2 straight roads that intersect perpendicularly at X. When A is at X , B is 500 m from X . After 2 minutes both A and B are at equal distance from X , and after 8 minutes they are again at equal distance from X . What is ratio of A's speed to B's ?