甲和乙家相距1880米，两人同时从家出发相向而行，甲出发3分钟后发现忘带东西了，于是返回家取后立即启程继

Question

1）小丁和小胖家相距1880米，两人同时从家出发相向而行，小胖出发3分钟后发现忘带东西了，于是返回家取后立即启程继续与小丁相向而行，小胖的速度是68米|分，小丁的速度是75米|分，小丁出发几分钟后两人在途中相遇？（列方程解应用题）
2）甲乙两人分别从A,B两地同时出发相向而行，行了2小时后，两人还相距40千米，又行了3小时后，两人还相距10千米（此时两人没有相遇过），A,B两地相距多少千米？(列方程解应用题）

Answer 1

（1）设小丁出发t分钟后两人在途中相遇
68*3+75*3*3+（68+75）*（t-9）=1880
解方程得到 t=16，即小丁出发16分钟后两人在途中相遇。
分析：小胖第一次出发三分钟走了68*3=204米，然后发现忘带东西回家，走回这204米也用了3分钟，带好东西立刻出发，走这204米又用了3分钟，所以当小胖走完这204米时，小丁已经走了9分钟，即75*9=675米，1880-675-204=1001米，走这1001米时，两人相向而行，走完这段路程所用的时间，应是这段路程的距离1001米除以两人的速度之和143米/分，即7分钟，加上刚才小丁用的9分钟，所以在小丁出发16分钟后，他们俩会在途中相遇。
（2）设AB两地相距S千米，甲的速度为X千米/小时，乙的速度为y千米/小时。
方程组为：（x+y）*2+40=S
（x+y）*3=40-10
由此解得（x+y）=10 S=60 即AB两地相距60千米。

Answer 2

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