SOLUTION: Max and Rebecca are in cars 120 miles apart. Both drivers are going at a constant speed of 30/mph and 40/mph respectively. How far apart will the 2 cars be in exactly 1 hour before

Question 1005183: Max and Rebecca are in cars 120 miles apart. Both drivers are going at a constant speed of 30/mph and 40/mph respectively. How far apart will the 2 cars be in exactly 1 hour before they meet?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Max and Rebecca are in cars 120 miles apart. Both drivers are going at a constant speed of 30/mph and 40/mph respectively. How far apart will the 2 cars be in exactly 1 hour before they meet?
-------
Determine when they will meet.
Max DATA:
rate = 30 mph ; time = t hrs ; distance = 30t miles
-----
Reb DATA:
rate = 40 mph ; time = t hrs ; distance = 40t miles
-----
Equation:
30t + 40t = 120 miles
70t = 120 miles
time = 12/7 hr.
------
One hour before = 5/7 hr
---
Max distance after 5/7 hr = (5/7)30 = 150/7 = 21.4 miles
Reb distance after 5/7 hr = (5/7)40 = 200/7 = 28.57 miles
------
Ans: Distance separating the cars:: 120-(21.4+28.57) = 70 miles
------------
Cheers,
Stan H.
-----------
RELATED QUESTIONS
Max and Rebecca are in cars 120 miles apart. Both drivers are going at a constant speed... (answered by Cromlix)

Max and Rebecca's are in cars 120 miles apart. Both Drivers are going at a constant speed (answered by stanbon,MathTherapy)

If two trains are 120 miles apart and are traveling toward each other at a constant rate... (answered by Alan3354)

Two cars, A and B, having average speeds of 30 and 40 mph, respectively are 280 miles... (answered by checkley77)

two cars start at the same time at a given point and travel in the same direction at a... (answered by Alan3354)

Two cars are approaching an intersection. One is 3 miles South of the intersection and is (answered by mananth,jrfrunner)

drivers A and B are 50 mi apart, and they plan to meet at 7 p.m. at a point between them... (answered by josmiceli)

two cars are headed directly toward each other at rates of 40 mph and 60 mph. How many... (answered by Alan3354)

Two cars leave town going in opposite directions. One car is traveling 40 miles per hour... (answered by Fombitz,mathmandotcom)