SOLUTION: Michael started up his motorcycle, checked to make sure his passenger was tucked in tight and began his 500-mile journey. Michael's motorcycle travels at a top speed of 62.5/mph (t

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Question 894985: Michael started up his motorcycle, checked to make sure his passenger was tucked in tight and began his 500-mile journey. Michael's motorcycle travels at a top speed of 62.5/mph (the motorcycle reaches top speed instantly.) After traveling for three hours, he stops for a 15-minute break. Once he gets on his motorcycle a head wind decreases his speed to 50 mph for one hour, then ceases. How long does it take Michael to reach his final destination?
Answer by KMST(5328) About Me  (Show Source):
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In the first three hours, Michael travels a distance of
62.5miles%2F%221+hour%22%29%2A%283hours%29=187.5miles .
In the hour after his 15-minute break Michael travels a distance of
5miles%2F%221+hour%22%29%2A%281hours%29=50miles .

3 hours + 13 minutes + 1 hour = 4 hours and 15 minutes = 4.25 hours.
So, after 4.25 hours, Michael has traveled
187.5 miles + 50 miles = 237.5 miles.
He still needs to go
500 miles - 237.5 miles = 262.5 miles
further to reach his destination.
At his stop speed of 62.5 mph, it will take him
262.5miles%2F%28%2862.5miles%2F%221+hour%22%29%29=4.2hours
The whole trip will take
4.25 hours + 4.2 hours = 8.45 hours.
Since 0.45hour%2A%2860minutes%2F%221+hour%22%29=27minutes ,
it will take Michael 8 hours and 27 minutes to reach his final destination.