Question 1109560: Sally is traveling 65 mph and Mark is traveling 50 mph. how long will it take Mark to catch up is Sally had a two hour Head start Found 3 solutions by josgarithmetic, ikleyn, greenestamps:Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website! Question should be How long will it take for SALLY to catch up with MARK if MARK had a two hour head start?
SPEED TIME DISTANCE
SALLY 65 d/65 d
MARK 50 d/50 d
DIFFERENCE 2
When did Sally and Mark reach the same distance d?
You can put this solution on YOUR website! .
Sally is traveling 65 mph and Mark is traveling 50 mph. how long will it take Mark to catch up is Sally had a two hour Head start
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You can put this solution on YOUR website! Obviously you have misstated the problem. If Sally has a 2 hour head start and is traveling faster than Mark, then Mark will never catch up.
So assuming Sally has the 2 hour head start and Mark has the higher speed, then we can solve the problem.
Sally has a 2 hour head start, traveling at 50 mph; in those 2 hours she has traveled 2*50 = 100 miles. So her head start is 100 miles.
Mark is catching up to Sally at a rate of (65-50) = 15 mph.
The time required for Mark to catch up to Sally is then 100/15 hours, or 6 2/3 hours, or 6 hours and 40 minutes.