PR 4 # 21

Wacky · 2006-06-21, 16:27

Four cities, A, B, C, and D, lie at the vertices of a rectangle. Inside this imaginary rectangle there is a fifth city, E, which is exactly 33 miles from A and 56 miles from C. E also happens to be an integral number of miles from the other two cities, being further from B than from D. If the distance between B and C is three times that of E from D, how far, to the nearest half mile, is A from B?

retina · 2006-06-22, 03:52

58.5 miles

2006-06-21, 16:27	#1
Wacky Jun 2003 The Texas Hill Country 3²×11² Posts	PR 4 # 21 Four cities, A, B, C, and D, lie at the vertices of a rectangle. Inside this imaginary rectangle there is a fifth city, E, which is exactly 33 miles from A and 56 miles from C. E also happens to be an integral number of miles from the other two cities, being further from B than from D. If the distance between B and C is three times that of E from D, how far, to the nearest half mile, is A from B?

2006-06-22, 03:52	#2
retina Undefined "The unspeakable one" Jun 2006 My evil lair 2×11×283 Posts	58.5 miles