A and B are going from AB to B at the same time. A arrives at B, and B is 30km away from A. when B arrives at a, a exceeds B by 40km. How many kilometers is the distance between AB and B? Better have an explanation

A and B are going from AB to B at the same time. A arrives at B, and B is 30km away from A. when B arrives at a, a exceeds B by 40km. How many kilometers is the distance between AB and B? Better have an explanation

Suppose that the distance between the two places is s km. The speed of car a is v ｛ 8321;, and that of car B is v ｛ 8322;. According to the meaning of the question, there is an equation: S / V ｛ 8321; = (s-30) / V ｛ 8322; (1); (s + 40) / V ｛ 8321; = s / V ｛ 8322; (2); (1) / (2) s / (s + 40) = (s-30) / s, that is, s ｛ 178; = (s + 40) (s-30), which is simplified to 10s-1200

When a arrives at B, B is 30km away from A. when B arrives at a, a is 40km away from B. how many km is the distance between a and B?

Suppose: the distance between two places of AB is YKM, the time from a to B is x, the speed of a is a, and the speed of B is B,
y/x=a,y=ax
y-30/a=b
The time from B to a is y + 40 / a = Y / b
If you substitute y = ax, you will get
Ax + 40 / a = ax / ax-30 / x, ax = 120
So y = ax = 120,
The distance between AB and ab is 120km

When car a arrives at B, car B is 30km away from A. when car B arrives at a, car a exceeds car B
It's 50 kilometers away, and ab is thousands of meters away?

Let the distance be x km
x:(x-30)=(x+50):x;
x²=x²+20x-1500;
20x=1500;
x=75;
So the distance is 75 kilometers
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The distance between a and B is 240km, the speed of car is 60km | h, and that of truck is 40km | H
(1) How many hours later, the difference between the two vehicles is still 20km
(2) Both cars are going from city a to city B. three hours after the truck starts, the car starts. Can the car catch up with city B when it reaches City B again

(1) There are two cases
1 ° if they don't meet:
(240-20) / (60 + 40) = 2.2 hours
2 ° if they have met:
(240 + 20) / (60 + 40) = 2.6 hours
(2) The truck drove first: 40 × 3 = 120 km
Car catching up needs: 120 (60-40) = 6 hours
At this time, the truck has been running: 120 + 6 × 40 = 360 km
So I can't