SOLUTION: this morning it took armenta 45min, to drive to work.During the first half hour he traveled 25miles.He drove at an average speed of 65miles per hour the rest of the work to work.Ho

Question 447908: this morning it took armenta 45min, to drive to work.During the first half hour he traveled 25miles.He drove at an average speed of 65miles per hour the rest of the work to work.How many miles in all did Armenta drive?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
this morning it took armenta 45 min, to drive to work.
During the first half hour he traveled 25 miles.
He drove at an average speed of 65 miles per hour the rest of the work to work.
How many miles in all did Armenta drive?
:
Let d = total dist to work
then
(d-25) = dist driven at 65 mph
:
Change 45 min to .75 hr
:
Write a time equation:
.5 + = .75
multiply by 65, results
65(.5) + (d-25) = 65(.75)
32.5 + d - 25 = 48.75
d + 7.5 = 48.75
d = 48.75 - 7.5
d = 41.25 mi to work
:
:
Check this by finding the time at 65 mph
(41.25-25)/65 = .25 hrs plus .5 hrs = .75 hr
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