Party A and Party B are walking from ab at the same time. They meet 150 meters away from the midpoint. It is known that the speed of Party A is 1.4 times that of Party B. how many meters is the distance between AB and Party B

Party A and Party B are walking from ab at the same time. They meet 150 meters away from the midpoint. It is known that the speed of Party A is 1.4 times that of Party B. how many meters is the distance between AB and Party B


Let B's distance be x meters, then a's distance is 1.4x meters. According to the meaning of the title, we get x + 150 = 1 / 2 (x + 1.4x) - 0.2x = - 150 x = 750 x + 1.4x = 1800 a: the distance between a and B is 1800 meters



The distance between the two places is 60 kilometers. A and B vehicles leave the two places at the same time and meet 40 minutes later. The speed ratio of a and B vehicles is 4:5. How many kilometers does a and B travel


Solution
40 minutes = 40 / 60 hours = 2 / 3 hours
A speed = 60 △ 2 / 3 × 4 / (4 + 5) = 40 km / h
B speed = 60 △ 2 / 3 × 5 / (4 + 5) = 50 km / h
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A and B start from a and B and run in opposite directions respectively. Two hours later, they meet. The speed ratio of a and B is 3:2. When a arrives at B, B is 60 kilometers away from a,
What's the speed?


According to the time, the speed is proportional to the distance
At the same time, a speed: B speed = a distance: B distance = 3:2, B distance is 2 / 3 of a distance
When a arrives at B, a has finished the whole journey, and B should have finished 2 / 3 of the whole journey
AB distance between the two places = 60 ÷ (1-2 / 3) = 180 km
Speed sum = 180 △ 2 = 90 km / h
A speed = 90 × 3 / (3 + 2) = 90 × 3 / 5 = 54 km / h
B speed = 90-54 = 36 km / h



The speed of car a is 60 kilometers per hour and that of car B is 40 kilometers per hour. When the two cars meet, car a exceeds the midpoint by 30 kilometers. How long is the highway between the two places?


When they met, a traveled 30 × 2 = 60 kilometers more than B
Every hour, a travels 60-40 kilometers more than B = 20 kilometers
Meeting time: 60 △ 20 = 3 hours
The length of the highway between the two places is (60 + 40) × 3 = 300 km