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

Algebra ->  Linear-equations -> 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      Log On


   

Question 282932: 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 rfer, MathTherapy:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
approach speed is 90 mph
60/90=.667 hrs=40 min

Answer by MathTherapy(10551) About Me  (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.

Let the time that both cars take to cover their respective distances be T.

Then the distance the car (Car A) leaving city A will cover is 30T, since it's traveling at 30 mph

Then the distance the car (Car B) leaving city B will cover is 60T, since it's traveling at 60 mph

Now, since Car B will travel 60 more miles than Car A, then we will have:

30T = 60T - 60

30T - 60T = - 60

-30T = - 60

T = %28-60%29%2F-30+=+2.

Therefore, it'll take highlight_green%282%29 hours for the car leaving city B to catch up with the car leaving city A.