SOLUTION: On Monday, Roger drove to work in 42 minutes. On Tuesday, he averaged 5 miles per hour more, and it took him 3 minutes less to get to work. How far (in miles) does he travel to wor

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Question 27692: On Monday, Roger drove to work in 42 minutes. On Tuesday, he averaged 5 miles per hour more, and it took him 3 minutes less to get to work. How far (in miles) does he travel to work?

Found 2 solutions by Paul, wuwei96815:
Answer by Paul(988) (Show Source):
You can put this solution on YOUR website!
42 minutes = 0.7hours
42-3 minutes = 0.65 hours.

0.65(x+5)=0.7x
0.65x+3.25=0.7x
0.05x=3.25
x=65

Hence, his distance is 65 miles.
Paul.

Answer by wuwei96815(245) (Show Source):
You can put this solution on YOUR website!
Monday distance=speed x time = s x 42minutes (equal to 42/60minutes or 0.7 hours)
Tuesday distance=speed x time = (s+5mph) x (42minutes-3minutes) = (s+5) x 39 (equal to 39/60 minutes or 0.65 hours)

We know that the two distances are equal even though the speeds and times are different so we can write the following equation:
s x 0.7 hours = (s+5mph) x 0.65 hours
0.7s = 0.65s + 3.25
0.7s -0.65s = 3.25
0.05s = 3.25
s = 65 mph

Going back to the original equation:
d = s x t
d = 65mph x 0.7 hours
d = 45.5 miles