Alice and Bill live at opposite ends of the same street. They leave their houses at the same time and each walk, at constant speed, from their house to the other house and back. The first time they meet, they are 400 yards from Alice’s house, and the second time they meet, they are 300 yards from Bill’s house. Both times they are traveling in opposite directions. What is the distance, in yards, between the two houses?   Answer is 900 yards. Pls explain

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
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Alice and Bill live at opposite ends of the same street. They
leave their houses at the same time and each walk, at constant
speed, from their house to the other house and back. The first
time they meet, they are 400 yards from Alice’s house, and the
second time they meet, they are 300 yards from Bill’s house. Both
times they are traveling in opposite directions. What is the
distance, in yards, between the two houses?

 

Answer is 900 yards. Pls explain

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