有一道英数题,two places x and y are 100 kilometers apart.three peo
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有一道英数题,
two places x and y are 100 kilometers apart.three people a ,b and c leave x at the same time for y.A drives with C at 25kilometers per hour .B walks at 5 kilometers per hour.after a period of time.C gets off A's car and walks at 5 kilometers per hour while A drives back to get B and then they travel together in the cat to go to y.finally,the three people get to y at the same time.How long does it take them to get to Y from X
two places x and y are 100 kilometers apart.three people a ,b and c leave x at the same time for y.A drives with C at 25kilometers per hour .B walks at 5 kilometers per hour.after a period of time.C gets off A's car and walks at 5 kilometers per hour while A drives back to get B and then they travel together in the cat to go to y.finally,the three people get to y at the same time.How long does it take them to get to Y from X
两地xy距离100km
3人abc从x同时出发向y
ac开车,25km/h
b走路5km/h
c在中途某地下车,然后步行5km/h
此时a往回开指导遇到b,然后一起乘车
三人同时到达
求从x-y所花时间
分三时段t1t2t3
第一阶段B走路ac乘车,时间t1
第二阶段B走路a乘车往回,c走路,时间t2
第三阶段ab乘车,c走路,时间t3
所以b行程=5t1+5t2+25t3=xy距离
a行程=25t1-25t2+25t3=xy距离
c=25t1+5t2+5t3=xy距离
所以20t1=20t3;t1=t3
30t1+5t2=xy=50t1-25t2
t2=2/3t1;t1=1.5t2
所以xy=50t2=100,t2=2;
t=t1+t2+t3=8小时
3人abc从x同时出发向y
ac开车,25km/h
b走路5km/h
c在中途某地下车,然后步行5km/h
此时a往回开指导遇到b,然后一起乘车
三人同时到达
求从x-y所花时间
分三时段t1t2t3
第一阶段B走路ac乘车,时间t1
第二阶段B走路a乘车往回,c走路,时间t2
第三阶段ab乘车,c走路,时间t3
所以b行程=5t1+5t2+25t3=xy距离
a行程=25t1-25t2+25t3=xy距离
c=25t1+5t2+5t3=xy距离
所以20t1=20t3;t1=t3
30t1+5t2=xy=50t1-25t2
t2=2/3t1;t1=1.5t2
所以xy=50t2=100,t2=2;
t=t1+t2+t3=8小时
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