Question 333984
Karen notices that her husband left for the airport without his briefcase.
 Her husband drives 40 miles per hour and has a 15 minute head start.
 If Karen (with the briefcase) drives 60 miles per hour and the airport is 45 miles away,
 will she catch him before he arrives at the airport? 
:
Find out how long it will take to catch him
Change 15 min to .25 hrs
:
t = K's travel time
then
(t+.25) = hus travel time
:
When K catches h, they will have traveled the same distance
Write a distance equation; dist = speed * time
60t = 40(t+.25)
60t = 40t + 10
60t - 40t = 10
20t = 10
t = {{{10/20}}}
t = .5 hr for K to catch h
:
Find the distance
60*.5 = 30 mi, well before the airport which is 45 mi
:
Confirm solution by finding the dist h travels
40 *(.5+.25) = 30mi also