Final answer:
The bus traveled 448 km on the first day and 792 km on the second day.
Step-by-step explanation:
The problem involves finding the distances traveled by a bus over two days, given that the ratio of the distance traveled on the first day to the distance traveled on the second day is 4 to 7. Let's denote the distance traveled on the first day as x km and the distance traveled on the second day as y km. Since the ratio of x to y is 4 to 7, we can set up the equation 4/7 = x/y.
To find the values for x and y, we can use proportions. Cross-multiplying gives us 4y = 7x. Rearranging this equation, we find that x = (4/7)y.
Given that the total distance traveled over the two days is 1320 km, we can set up the equation x + y = 1320. Substituting the value of x from the previous equation, we have (4/7)y + y = 1320.
Solving this equation, we find that y = 792 km and x = (4/7) * 792 = 448 km. Therefore, the bus traveled 448 km on the first day and 792 km on the second day.
Learn more about calculating ratios and proportions for distance traveled