SOLUTION: 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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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?


-




, miles when Sally catches up.

Sally traveled for hours
and
Mark for hours.
Answer by ikleyn(52778)   (Show Source): 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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The correct answer to your question is under this link
https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.1109564.html

https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.1109564.html



Answer by greenestamps(13198)   (Show Source): 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.
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