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.


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 = {{{(-60)/-30 = 2}}}. 


Therefore, it'll take {{{highlight_green(2)}}} hours for the car leaving city B to catch up with the car leaving city A.