SOLUTION: On Monday, Roger drove to work in 2 hours. On Tuesday, he averaged 15 miles per hour more, and it took him 30 minutes less to get to work. How far (in miles) does he travel to work

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Question 388835: On Monday, Roger drove to work in 2 hours. On Tuesday, he averaged 15 miles per hour more, and it took him 30 minutes less to get to work. How far (in miles) does he travel to work?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
On monday:
d+=+r%2At
(1) d+=+r%2A2
On Tuesday:
d+=+%28r+%2B+15%29%2A%282+-+.5%29
(2) d+=+1.5%2A%28r+%2B+15%29
Substitute (1) into (2)
2r+=+1.5r+%2B+1.5%2A15
.5r+=+22.5
r+=+45
And, from (1),
d+=+r%2A2
d+=+45%2A2
d+=+90
He travels 90 mi to work