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?
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I guess we are to assume you both travel at 55 mph
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We will find the distance from your house first.
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convert 22 min: 22/60 = 11/30 hrs
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When the two meet they will have traveled a total of 61 mi
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Let d = no. of miles you have traveled when you meet
then
(61-d) = no. of miles your cousin travels when you meet
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Write a time equation: time = dist/speed
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Your travel time = cousin's travel time + 22 min
{{{d/55}}} = {{{((61-d))/55}}} + {{{11/30}}}
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get rid of those annoying fractions, multiply by 1650 (that's 55*30),results:
30d = 30(61-d) + 55(11)
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30d = 1830 - 30d + 605
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30d + 30d = 1830 + 605
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60d = 2435
d = {{{2435/60}}}
d = 40.6 mi from your house you meet
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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
{{{20.4/55}}} = .37; .37*60 ~ 22 min after cousin leaves you will meet.
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Confirm this, your travel time will be 22 + 22 = 44 min
{{{44/60}}} = .733 hr
.733 * 55 = 40.3 mi ~ 40.6 mi