Question 64842
Let x=distance travelled by bus
Then 660-x=distance travelled by car

We'll make use of the formula Distance(d)=rate(r) x time(t) or d=rt

Now we know that the time it took the car (d/r) which was (660-x)/30 plus the time it took the bus (d/r) which was x/60 equals 14 hrs so our equation to solve is:

(660-x)/30+x/60=14  multiply both sides by 60 to get rid of the fractions:

2(660-x)+x=14(60)=840 simplifying:

1320-2x+x=840 collecting like terms:
-x=-1320+840=-480
x=480 miles distance travelled by bus

660-x=660-480=180 miles distance travelled by car


ck 
180/30+480/60=14
6+8=14
14=14

Hope this helps.  Happy holidays.---ptaylor