SOLUTION: A car travering at 48 km/h takes 2 hours longer to cover a certain distance than another travelling at 60 kmh. What is the distence?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A car travering at 48 km/h takes 2 hours longer to cover a certain distance than another travelling at 60 kmh. What is the distence?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1132527: A car travering at 48 km/h takes 2 hours longer to cover a certain distance than another travelling at 60 kmh. What is the distence?
Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let "x" be the distance.


Then your "time" equation is


    x%2F48 - x%2F60 = 2    hours.


It is really a "time" equation, since every ratio in the left side is the time of traveling !


To solve the equation, multiply both sides by 48*60. You will get


    60x - 48x = 2*48*60.


    12x = 2*48*60  ====>  x = %282%2A48%2A60%29%2F12 = 2*4*60 = 8*60 = 480.


ANSWER.  The distance is 480 kilometers.


CHECK.   480%2F48 - 480%2F60 = 10 - 8 = 2 hours.    ! Precisely correct !

Solved.

--------------------

The lesson to learn from my solution is THIS : 

     Learn how to write and to use the "time" equation !