SOLUTION: You leave your house to visit your cousin in galveston 61 miles away you drive at 55 mph. your cousin doesn't know your coming to visit so exactly 22 mintues after you leave they g

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Question 339507: You leave your house to visit your cousin in galveston 61 miles away you drive at 55 mph. your cousin doesn't know your coming to visit so exactly 22 mintues after you leave they galveston driving to houston to visit! how long after your cousin leaves will pass each other on the road? how many miles will you be from your house?
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
You leave your house to visit your cousin in galveston 61 miles away you drive at 55 mph.
your cousin doesn't know your coming to visit so exactly 22 mintues after you
leave they galveston driving to houston to visit!
how long after your cousin leaves will pass each other on the road
how many miles will you be from your house?
:
I guess we are to assume you both travel at 55 mph
:
We will find the distance from your house first.
:
convert 22 min: 22/60 = 11/30 hrs
:
When the two meet they will have traveled a total of 61 mi
:
Let d = no. of miles you have traveled when you meet
then
(61-d) = no. of miles your cousin travels when you meet
:
Write a time equation: time = dist/speed
:
Your travel time = cousin's travel time + 22 min
= +
:
get rid of those annoying fractions, multiply by 1650 (that's 55*30),results:
30d = 30(61-d) + 55(11)
:
30d = 1830 - 30d + 605
:
30d + 30d = 1830 + 605
:
60d = 2435
d =
d = 40.6 mi from your house you meet
:
:
It also says,"how long after your cousin leaves will pass each other on the road"
61 - 40.6 = 20.4 mi is cousins travel dist
Find the cousin's travel time
= .37; .37*60 ~ 22 min after cousin leaves you will meet.
:
:
Confirm this, your travel time will be 22 + 22 = 44 min
= .733 hr
.733 * 55 = 40.3 mi ~ 40.6 mi