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

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) (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; hr
:
Let t = time at 40 mph
then
(t + ) = time at 30 mph
Write distance equation; dist = speed * time
40t = 30(t+)
40t = 30t + 5
:
40t - 30t = 5
:
10t = 5
t =
t = hr
:
Find the distance
40 * = 20 miles
Check the solution by finding the distance at 30 mph
30 *
30 * = 5 * 4 = 20 mi

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