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Party A and Party B go from AB to ab at the same time, return to each other's place of departure immediately, and then meet 60 kilometers away from B. the speed ratio of Party A and Party B is 2:3. How many kilometers is the distance between AB and Party B?
If the distance between AB and ab is x km, then:
（x+60):(2x-60)=2:3
2*(2x-60)=3*(x+60)
4x-120=3x+180
x=300
That is, AB is 300 kilometers away from each other
Party A and Party B set out from AB and went in opposite directions. For the first time, they were 60 kilometers away from A. after meeting each other, they continued to move forward and returned to the destination immediately,
Meet for the second time at 20 kilometers away from B, how long is the distance between the two places?
The first time they met, Party A and Party B had a total journey of 60 kilometers
When they met for the second time, Party A and Party B made a total of three trips. According to the proportion, Party A should have made 180 kilometers,
On the other hand, by drawing a line segment, we can see that a has made a whole journey plus 20 kilometers
Therefore, the distance between AB and ab is: 180-20 = 160 km
The two trains of a and B depart from ab at the same time and meet for the first time at 75KM away from A. after meeting, the two trains continue to move forward,
The two trains of a and B depart from a and B at the same time. For the first time, they meet at 75 km away from A. after meeting, the two trains continue to move forward and return immediately after arriving at the destination. For the second time, they meet at 55 km away from B. how many km is the distance between a and B? Especially the distance between a and B
Why a line three whole minus 55 is the result
It's actually like this
1) When we first met, the total distance between a and B was a whole journey
2) The second time we met, because we walked in the opposite direction first and then came back to meet, we can intuitively know that the total distance between a and B (from the beginning) is three whole distances
3) Because everyone's speed has not changed, it is uniform, so at the same time, when the total distance of Party A and Party B is a whole journey, the distance of Party A is 75 km (as can be seen from the first meeting)
4) According to 3) above, at the same time, when the total distance of Party A and Party B is three full distances, the total distance of Party A should be three 75KM. As you said above, when Party A meets Party B for the second time, it is 55km after arriving at the destination, so the total distance of Party A is one full distance plus 55km, that is to say, the length of the whole distance is 3 * 75-55 = 170km
A and B start from a and B at the same time. For the first time, they meet at 80 km away from A. after meeting, they continue to move forward and return immediately after reaching the destination. For the second time, they meet at 60 km away from B. find the distance between a and B
A: the distance between a and B is 180 km
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