Question 250663
Carla take a trip from town A to town B. 
She drives to town B at a rate of 55 miles per hour. 
She then takes a plane, which travels at a rate of 175 miles per hour back to town A, 
if the total traveling time is 10 hours, to the nearest mile,
 what is the distance between the two towns?
:
Let d = distance between the two towns
:
Write a time equation: Time = dist/speed
:
Time to B + Time to A = 10 hrs
{{{d/55}}} + {{{d/175}}} = 10
Multiply equation by 9625 (55*175); results
175d + 55d = 9625(10)
:
230d = 96250
:
d = 418.47826 ~ 418 miles from A to B
;
:
Check solution
418/55 + 418/175 =
7.6 + 2.4 = 10 hrs