Question 155369This question is from textbook college algebra
: Lisa, an architect from Huntsville, has arranged a business luncheon with her client, Taro from Norwood. They plan to meet at a restaurant off the 300 mile highway connecting their two cities. If they leave their offices simultaneously and arrive at the restaurnat simultaneoulsy, and Lisa averages 50mph while Taro averages 60mph, then how far from Huntsville is the restaurant?
This question is from textbook college algebra
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! They plan to meet at a restaurant off the 300 mile highway connecting their two
cities. If they leave their offices simultaneously and arrive at the restaurant
simultaneously, and Lisa averages 50 mph while Taro averages 60 mph, then how far from Huntsville is the restaurant?
:
Find the time required for them to meet, then find the distance from that;
t = travel time till they meet
:
Write a distance equation: Dist = speed * time, total distance given as 300 mi
:
60t + 50t = 300
110t = 300
t = 
t = 2.73 hrs
;
Find the distance from Huntsville (Lisa at 50 mph)
:
2.73 * 50 = 136.36 mi
:
:
Check solution, find dist from Norwood
2.73 * 60 = 163.64 mi
:
Total: 136.36 + 163.64 = 300 mi
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