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

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) (Show Source): You can put this solution on YOUR website!
In the first three hours, Michael travels a distance of
.
In the hour after his 15-minute break Michael travels a distance of
.

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

The whole trip will take
4.25 hours + 4.2 hours = 8.45 hours.
Since ,
it will take Michael 8 hours and 27 minutes to reach his final destination.
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