SOLUTION: City A is 60 miles East of City B. A car leaves city a traveling East at 30 mph and at the same time a car leaves city B traveling East at 60 mph. How long will it take the car l

Question 331958: City A is 60 miles East of City B. A car leaves city a traveling East at 30 mph and at the same time a car leaves city B traveling East at 60 mph. How long will it take the car leaving from city B to catch the car leaving from city A.
Found 2 solutions by ankor@dixie-net.com, Alan3354:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
City A is 60 miles East of City B.
A car leaves city A traveling East at 30 mph and at the same time a car leaves
city B traveling East at 60 mph.
How long will it take the car leaving from city B to catch the car leaving from city A?
:
B*>-60mph->-------------------A*>-30mph->----------------|**|
|------------60 miles-----------|
:
let t = time for fast car to catch slow car
:
Write a distance equation; dist = speed * time
:
Fast car dist = slow car dist + 60 miles
60t = 30t + 60
60t - 30t = 60
30t = 60
t =
t = 2 hrs
;
:
Check solution by finding the actual dist each car traveled
60(2) = 120 mi
30(2) = 60 mi
-------------------
diff: = 60 mi
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The lead car is 60 miles ahead.
The other car gains on it at 30 mph (60 - 30).
60/30 = 2 hours.

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