SOLUTION: a. Mike and Scott live 110 miles from each other. They frequently meet for lunch at a restaurant that is between Mike�s house and Scott�s house. Leaving at the same time from the

Question 607157: a. Mike and Scott live 110 miles from each other. They frequently meet for lunch at a restaurant that is between Mike�s house and Scott�s house. Leaving at the same time from their respective houses, Mike takes 1 hour and 30 minutes and Scott takes 1 hour and 15 minutes to get to the restaurant. If they each drive at the same speed,
i. Determine their speed
ii. How far from Scott�s house is the restaurant?
Thank you!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = distance from Scott's house to restaurant
= distance from Mike's house to restaurant
= speed for both Mike and Scott
----------------
Scott's equation:
(1)
Mike's equation:
(2)
---------------------------
Substitute (1) into (2)
(2)
(2)
(2) mi/hr
------------
Both speeds are 40 mi/hr
(1)
(1)
(1)
Scott's house is 50 mi from restaurant
check:
(2)
(2)
(2)
(2)
(2)
OK

RELATED QUESTIONS
2 people live 225 miles apart. The meet for lunch at a place between their houses. They... (answered by Paul)

Two friends who have unpredictable lunch hours agree to meet for lunch at their favourite (answered by venugopalramana)

Two friends plan to meet at a restaurant for lunch. They both leave their homes at... (answered by VFBundy,greenestamps)

Ram and Shyam have agreed to meet between 1:00 P.M. and 2:00 P.M. for lunch at a local... (answered by ikleyn)

Doreen and Irene plan to leave their houses at the same time and roller blade towards... (answered by checkley77)

Doreen and Irena plan to leave their houses at the same time roller blade towards each... (answered by lwsshak3)

John and Mike have been friends since school but haven't seen each other in many years,... (answered by ptaylor)

John and Mike have been friends since school but haven't seen each other in many years,... (answered by ankor@dixie-net.com)

John and Mike have been friends since high school but haven't seen each other in many... (answered by rfer)