<PRE><B>Question 804349</B>
The speed of a car is 8mph faster than the speed of a bus
 the car travels 270 miles in the same time it takes the bus to travel 234miles
 find the speed of the car and the bus.
:
Let s = speed of the bus
then
(s+8) = speed of the car
:
Write a time equation; time = dist/speed
:
car time = bus time
{{{270/((s+8))}}} = {{{234/s}}}
Cross multiply
270s = 324(s+8)
270s = 234s + 1872
270s - 234s = 1872
36s = 1872
s = 1872/36
s = 52 mph is the bus
then, obviously:
52 + 8 = 60 mph is the car
:
:
Confirm this, see if the times are the same
270/60 = 4.5 hrs
324/52 = 4.5 hrs</PRE>