In a vessel the ratio of alcohol to water is 6:1. If 21 liter of mixture is taken out from the vessel and 1 liter water is added, then the ratio of alcohol to water in the final mixture becomes 21:4. Then, what will be the initial quantity (in liters) of alcohol in the vessel?
ATQ, we can say that Let the initial alcohol & water in vessel be 6x & x liters respectively. So, {(6x − 21 × 6/7)}/{(x − 21 × 1/7 +1)} = 21/4 (6x−18)/(x−3+1) = 21/4 24x − 72 = 21x − 42 3x = 30 x = 10 liters Initial the quantity of alcohol in vessel = 6x = 60 liters
‘A’ and ‘B’ started moving towards each other at same time with a speed of 23 km/hr and 24 km/hr, respectively. If the di...
A police man goes after a thief who has 100m start. If the policeman runs a KM in 8 min and the thief runs a km in 10 min, how far will the thief have g...
The speed of two cars A and B are in the ratio of 15:17 respectively. Car A travels 10 km less than the car B in the same time duration. What was the di...
The speed of two cars A and B are in the ratio of 14:17 respectively. Car A travels 12 km less than the car B in the same time duration. What was the di...
A and B are travelling towards each other with a speed of 30 km/hr and 40 km/hr. If they started at same time and A covered 20 km less distance than B b...
On Diwali, a child Plants a bomb at a place and starts running at 60 m/s. After 58 seconds the bomb blasted. In how much time the sound of blast will be...
Amit and Deepak are standing on point A and B respectively, which are 300km apart. Amit starts moving to and from between A and B at 25km/hr while Deepa...
A motor-cycle covers 90 km with a speed of 40 km/hr. find the speed of the motor-cycle for the next 90 km journey so that the average speed of the whole...
The speed of two cars A and B are in the ratio of 9:12 respectively. Car A travels 15 km less than the car B in the same time duration. What was the dis...
Find the distance travelled (in km) by the truck to reach point B from point A, if a car cover 25% the same distance in 2 hours and a truck covers 30%...
