SOLUTION: On Monday, Roger drove to work in 38 minutes. On Tuesday, he averaged 10 miles per hour more, and it took him 5 minutes less to get to work. How far (in miles) does he travel to

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Question 695774:
On Monday, Roger drove to work in 38 minutes. On Tuesday, he averaged 10 miles per hour more, and it took him 5 minutes less to get to work. How far (in miles) does he travel to work?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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On Monday, Roger drove to work in 38 minutes.
On Tuesday, he averaged 10 miles per hour more, and it took him 5 minutes less to get to work.
How far (in miles) does he travel to work?
:
Find his speed first
:
The dist is the same each day, write a distance equation dist = time * speed
we have to change the minutes to hours
:
38%2F60s = 33%2F60*(s+10)
multiply both sides by 60
38s = 33(s + 10)
38s - 33s = 330
5s = 330
s = 330/5
s = 66 mph on Monday
and
76 mph on Tuesday
:
Find the distance
38%2F60(66) = 41.8 miles
check that the distance is the same on Tuesday
33%2F60(76) = 41.8 miles