Mr. Brown's WalkDate: 09/09/97 at 17:06:01 From: Bob Subject: Word problem Mr. Brown takes the 5:00 p.m. train after work. His wife meets him at the station and drives him home. One day Mr. Brown took the 4:00 p.m. train. He arrived at the station one hour early and started walking home. His wife, unaware of his early arrival, left home at her usual time. She met him walking along the route home, picked him up, then drove him home. They arrived home 20 minutes earlier than usual. How long did Mr. Brown walk? Date: 09/15/97 at 14:09:46 From: Doctor Rob Subject: Re: Word problem Let T be the length of time in hours that Mrs. Brown takes to drive between the station and home. She must have set out at (5 - T)PM, intending to arrive at 5PM, and to return home at (5 + T)PM. Her round trip should have taken 2*T hours, but in fact took 2*T - 1/3 hours. Each way to the meeting point took T - 1/6 hours, so she met Mr. Brown at (5-T+T-1/6)PM, or 4:50PM. Thus Mr. Brown had been walking for 50 minutes. -Doctor Rob, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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