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To solve the problem of distance, we must learn to draw line segments. . .

1.

When the two cars meet for the first time, * * * the whole journey 1, of which A is the whole journey 100 km.

When the two cars met for the second time, * * * made three full trips, of which A made two full trips minus 80km.

Two cars travel three times, and one car should travel100× 3 = 300km.

So the whole journey of the two cars is 300+80 = 380km.

So AB is 380/2 = 190km apart.

2.

From the departure to the second encounter, the two cars walked three times at a time, which took 6 hours.

So 1 two-car train takes 6/3=2 hours.

So the distance between AB is (10+8) * 2 = 36km.

3.

When we first met, car A traveled 60 kilometers and car B traveled 1 10-60=50 kilometers.

So the speed ratio of the two cars is 60: 50 = 6: 5.

When the two cars met for the second time, * * * made the whole journey three times, 3 *1/kloc-0 = 330 kilometers.

A certain line is 330 * 6/(6+5) =180km.

When we met, it was 2 *11kloc-0/80 = 40km away from a city.

4.

When we first met, * * * did 1 time, of which A did 25 kilometers.

When we met for the second time, * * * made three full trips, of which A made 1 full trip plus 10 km.

Two people * * * walk three times, and A has to walk 25× 3 = 75km.

So 1 is 75- 10 = 65km.

So when we met for the second time, it was 65- 10 = 55km away from a city.

So the distance between the two meeting places is 60-55 = 5km.

5.

The speed ratio of passenger cars and trucks is 54:48=9:8.

When the two cars met again, * * * walked three complete journeys.

Among them, the bus has completed 3*9/(9+8)=27/ 17 times.

The distance from the midpoint is 27/17-1-1/2 = 3/34, which means 108km.

So the distance between AB is108/(3/34) =1224 km.

Another solution:

When they meet again, the bus is longer than the truck 108×2=2 16 km.

Passenger cars travel 54-48km more than trucks per hour = 6km.

So when they met again, the two cars drove for 2 16/6=36 hours.

* * * Line 36 *(54+48)=3672 km.

When the two cars met again, * * * walked three complete journeys.

So the distance between AB is 3672/3= 1224 km.