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# HELP

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Five friends live on the same street. Their houses are at points \$A,\$ \$B,\$ \$C,\$ \$D,\$ and \$E,\$ with the distances shown. [asy] unitsize(1 cm); pair A, B, C, D, E; A = (0,0); B = (1,0); C = (2,0); D = (5,0); E = (7,0); draw(A--E); dot("\$A\$", A, S); dot("\$B\$", B, S); dot("\$C\$", C, S); dot("\$D\$", D, S); dot("\$E\$", E, S); label("\$1\$", (A + B)/2, N); label("\$1\$", (B + C)/2, N); label("\$3\$", (C + D)/2, N); label("\$2\$", (D + E)/2, N); [/asy] The five friends decide to meet at point \$P\$ so that the total walking distance for all five friends is minimized. What is \$AP?\$

if the latex doesn't work then...

Five friends live on the same street. Their houses are at points  A, B, C, D, and E with the distances shown.

AB = 1, BC = 1, CD = 3, DE = 2 (On the same line)

The five friends decide to meet at point P so that the total walking distance for all five friends is minimized. What is AP?

Feb 11, 2022

gee thanks for the elaborate and 100% correct answer 