SOLUTION: Rachel and Josie live in the cities 500 miles apart. They leave their home at the same time and travel toward each other at the rate of 40mph and 45mph. If they leave at 9 A.M. at

Algebra ->  Length-and-distance -> SOLUTION: Rachel and Josie live in the cities 500 miles apart. They leave their home at the same time and travel toward each other at the rate of 40mph and 45mph. If they leave at 9 A.M. at       Log On


   

Question 397681: Rachel and Josie live in the cities 500 miles apart. They leave their home at the same time and travel toward each other at the rate of 40mph and 45mph. If they leave at 9 A.M. at what time will they still be 75 miles apart?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Rachel and Josie live in the cities 500 miles apart.
They leave their home at the same time and travel toward each other at the rate of 40mph and 45mph.
If they leave at 9 A.M. at what time will they still be 75 miles apart?
:
Let t = time they will be 75 mi apart
:
Write a distance equation: dist = speed * time
40t + 45t = (500 - 75)
85t = 425
t = 425%2F85
t = 5 hrs: 9 Am + 5 hrs = 2:00 PM, they will be 75 mi apart
:
:
Check this by finding each travel distance
5*40 = 200 mi
5*45 = 225 mi
--------------
total: 425 mi; still have 75 mi to cover the total of 500 mi