SOLUTION: If Bill drives from his home to his office at 40 miles per hour, he arrives 5 minutes early. If he drives at 30 miles per hour, he arrives 5 minutes late. How far is it from his ho

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Question 195311This question is from textbook Introductory Algebra
: If Bill drives from his home to his office at 40 miles per hour, he arrives 5 minutes early. If he drives at 30 miles per hour, he arrives 5 minutes late. How far is it from his home to his office? This question is from textbook Introductory Algebra

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If Bill drives from his home to his office at 40 miles per hour, he arrives 5
minutes early.
If he drives at 30 miles per hour, he arrives 5 minutes late. How far is it from his home to his office?
:
Just assume, the difference in the two trips is 10 min; 1%2F6 hr
:
Let t = time at 40 mph
then
(t + 1%2F6) = time at 30 mph
Write distance equation; dist = speed * time
40t = 30(t+1%2F6)
40t = 30t + 5
:
40t - 30t = 5
:
10t = 5
t = 5%2F10
t = 1%2F2 hr
:
Find the distance
40 * 1%2F2 = 20 miles
Check the solution by finding the distance at 30 mph
30 * 1%2F2%2B1%2F6
30 * 4%2F6 = 5 * 4 = 20 mi