The two fast and slow trains run opposite each other from a and B. the slow train takes 8 hours from a to B, which is 1 / 3 longer than the fast train from B to A. if the two trains leave at the same time, the fast train will travel 48 kilometers more than the slow train when they meet. There are two ways to find the distance between a and B

The two fast and slow trains run opposite each other from a and B. the slow train takes 8 hours from a to B, which is 1 / 3 longer than the fast train from B to A. if the two trains leave at the same time, the fast train will travel 48 kilometers more than the slow train when they meet. There are two ways to find the distance between a and B

The formula is as follows
If the distance is the same, the speed is inversely proportional to the time,
It can be concluded that the speed ratio of express train and local train is 4:3;
When they meet, the express takes 4 / (4 + 3) = 4 / 7 of the whole journey,
1-4 / 7 = 3 / 7,
Therefore, the distance between a and B is 48 (4 / 7-3 / 7) = 336 km
Equation method
If the distance is the same, the speed is inversely proportional to the time,
It can be concluded that the speed ratio of express train to local train is 4:3
The express train takes 4 / (4 + 3) = 4 / 7 of the whole journey, and the slow train takes 1-4 / 7 = 3 / 7 of the whole journey,
Suppose the distance between a and B is x km
x(4/7 - 3/7) = 48
x = 48÷(4/7-3/7)
X = 336 km

If the two trains leave at the same time, the fast train will travel 40km more than the slow train when they meet. The distance between a and B can be calculated

Fast / slow speed ratio (1 + 1 / 3): 1 = 4:3
The distance between a and B is 40 △ (4-3) × (4 + 3) = 280 km

The two trains run opposite each other from a and B. the local train takes 8 hours from a to B, one third more than the express train from B to A. if the two trucks leave at the same time, the express train will travel 40 kilometers more than the local train when they meet. The distance between a and B is______ Kilometers

8 (1 + 13) = 6 (hours) 1 (16 + 18) = 247 (hours) 16 × 247 = 471-47 = 3740 (47-37) = 40 / 17 = 280 (km) a: the distance between a and B is 280 km

There are two fast and slow trains running from a and B at the same time. After meeting, it takes 4 hours for the fast train to reach B, and 9 hours for the slow train to reach A. how many hours for the fast and slow trains to complete the whole journey

Let the speed of the fast train be x, the speed of the slow train be y, and the two trains have been driving for t hours before they meet, then the equation can be formulated
X*T=Y*9
X*4=Y*T
T / 4 = 9 / T, that is, t = 6
Therefore, the time for the express to complete the whole journey is t + 4 = 10 hours
The whole time of slow train is t + 9 = 15 hours