SOLUTION: Bob is driving west bound and passes Joe driving eastbound at 50mph. How fast will Bob have to drive if he turns around and catches Joe 1/2 mile down the road from where they firs

Question 321922: Bob is driving west bound and passes Joe driving eastbound at 50mph. How fast will Bob have to drive if he turns around and catches Joe 1/2 mile down the road from where they first passed each other?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The assumption is that Bob stops immediately as they pass each other and turns around using no time.
.
.
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For constant speed or rate,
Rate*Time=Distance

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.
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For Joe traveling at 50 mph and meeting Bob in 1/2 mile,

hour
.
.
.
Since Bob starts at zero speed, the distance equation is slightly different than for Joe who's traveling at constant speed.
where a=acceleration, vf=Bob's final speed, vi=Bob's initial speed, t=time.
and also,

mph
Bob will be traveling at 100 mph when they meet.
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