SOLUTION: Max and Rebecca's 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 befo
Algebra ->
Customizable Word Problem Solvers
-> Finance
-> SOLUTION: Max and Rebecca's 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 befo
Log On
Question 1003338: Max and Rebecca's 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. Found 2 solutions by stanbon, MathTherapy:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Max and Rebecca's 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.
-------
Max DATA:
rate = 30 mph ; distance = x miles ; time = x/30 hrs
----------
Rebecca DATA:
rate = 40 mph ; distance = 120-x miles ; time = (120-x)/40 hrs
------
Equation to find out when then would meet::
x/30 = (120-x)/40
---
40x = 30*120 - 30x
70x = 30*120
x = 3600/70 = 51.42 miles
---
time for the cars to meet 51.42/30 = 1.714 hrs
-----
How far apart will the 2 cars be in exactly 1 hour before they meet.
Max will have gone 0.714*30 = 21.42 miles
Rebecca will have gone 0.714*40 = 28.56 miles
-----
Ans: 28.56-21.42 = 7.14 miles apart
----------
Cheers,
Stan H.
-------------
You can put this solution on YOUR website!
Max and Rebecca's 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.
Time each spent travelling 1 hr before meeting: hr
Distance traveled by Max in hr: , or miles
Distance traveled by Rebecca in hr = , or miles
Distance apart hr after starting, or 1 hour before meeting: , or 120 – 50, or miles
(