The passenger and freight cars start from the two stations at the same time and run in opposite directions. The passenger car meets the freight car at 9 / 17 of the whole journey, The truck can complete the whole journey in 8 hours. Please find the distance between a and B stations

The passenger and freight cars start from the two stations at the same time and run in opposite directions. The passenger car meets the freight car at 9 / 17 of the whole journey, The truck can complete the whole journey in 8 hours. Please find the distance between a and B stations


This is a primary school topic,
Because the two cars finished the whole journey, and the bus took 9 / 17,
So the truck went 1-9 / 17 = 8 / 17
The speed of launching freight cars is (8 / 17) / (9 / 17) = 8 / 9 of passenger cars
Speed of freight car: 45km / h * (8 / 9) = 40km / h
Distance between station a and station B: 40km / h * 8h = 320km



On the map with a scale of 1:120 km, the distance between a and B is 30 cm. The two trains leave from a and B stations at the same time. The fast train runs 90 km per hour and the slow train runs 40 km per hour. The two trains meet each other for several hours


30×120 ÷(90+40)
=3600÷130
=27.69.



The two trains leave from two places 600 kilometers apart and meet in three hours. It is known that the speed of the express train is 1.5 times that of the local train
How many kilometers do express and local trains travel per hour?


The speed of the local train
=(600÷3)÷(1.5+1)
=200÷2.5
= 80 (km / h)
The speed of the express
=80×1.5
= 120 (km / h)