SOLUTION: 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

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?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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 =
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
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