A petrol tank of 40 liters is half full. Jai gets another 1/4 of the tank filled. What fraction of the tank is still empty
The Correct Answer and Explanation is:
Let’s break this down step by step.
- Initial state: The petrol tank has a total capacity of 40 liters, and it is half full. Therefore, the amount of petrol in the tank is: 12×40=20 liters\frac{1}{2} \times 40 = 20 \text{ liters}21×40=20 liters
- Additional filling: Jai adds another 1/4 of the tank’s total capacity. Since the tank’s total capacity is 40 liters, 1/4 of this is: 14×40=10 liters\frac{1}{4} \times 40 = 10 \text{ liters}41×40=10 liters After Jai fills the tank with 10 liters, the total amount of petrol in the tank becomes: 20 liters+10 liters=30 liters20 \text{ liters} + 10 \text{ liters} = 30 \text{ liters}20 liters+10 liters=30 liters
- Empty space: The tank’s total capacity is 40 liters, and the total amount of petrol now in the tank is 30 liters. Therefore, the empty space in the tank is: 40 liters−30 liters=10 liters40 \text{ liters} – 30 \text{ liters} = 10 \text{ liters}40 liters−30 liters=10 liters
- Fraction of the tank that is empty: The empty space (10 liters) is a fraction of the total tank capacity (40 liters). To find this fraction, we divide the empty space by the total capacity: 1040=14\frac{10}{40} = \frac{1}{4}4010=41
Thus, 1/4 of the tank is still empty.
In summary, after Jai fills the tank with 1/4 of its capacity, the tank is 3/4 full and 1/4 empty.
