Example 3: the fast train and the local train leave from a and B at the same time. It is known that the fast train travels 60 kilometers per hour and the local train 52 kilometers per hour. After a few hours, the fast train meets the local train at the midpoint of 32 kilometers. What is the distance between a and B?

Example 3: the fast train and the local train leave from a and B at the same time. It is known that the fast train travels 60 kilometers per hour and the local train 52 kilometers per hour. After a few hours, the fast train meets the local train at the midpoint of 32 kilometers. What is the distance between a and B?


Let the time of meeting be x hours, 60x-52x = 32 × 2, & nbsp; & nbsp; & nbsp; & nbsp; 8x = 64, & nbsp; & nbsp; & nbsp; & nbsp; X = 8; (60 + 52) × 8, = 112 × 8, = 896 (km); answer: the distance between a and B is 896 km



It takes 8 hours for the express train and 10 hours for the local train to go from a to B. the two trains leave from a and B at the same time. When they meet, the express train travels 40 kilometers more than the local train. How many kilometers are there between a and B?


1 ÷ (18 + 110) = 409 (hours) 18 × 409 = 591 − 59 = 4959 − 49 = 1940 − 19 = 360 (meters) a: the distance between a and B is 360 km



The speed of fast train and local train is 75KM and 60km per hour respectively, and they leave a and B at the same time. When they meet, the fast train travels 60km more than the local train
Find the distance between a and B


540km
60 / (75-60) = 4 hours
4*(75+60)=540



A slow train and an express train leave from station a and B respectively. The speed ratio of the fast train to the slow train is 5:4. The slow train leaves station a 27km before the fast train leaves station B. when meeting, the distance between the fast train and station B is 32km more than that between the slow train and station A. how many kilometers are there between station a and station B?


(32 + 27) △ 55 + 4 − 45 + 4) + 27, = 59 △ 19 + 27, = 531 + 27, = 558 (km); a: the distance between a and B is 558 km