<PRE><B>Question 969510</B>
33.6 seconds  ANSWER

Distance must be the same.  Let x=seconds.

Kate is 60 feet + (12.5 ft/7 seconds) * x
Pam is  walking at 25 ft/7 seconds *x

They will walk for the same time, so x is a reasonable variable.  Their distance must equal.

60 + (12.5 x/7)= 25 x/7

Clear fractions by multiplying everything by 7.

420+12.5 x= 25 x

subtract 12.5 x from each side

420=12.5 x  
x=33.6 seconds

Check  25 feet in 7 seconds is 3.571 ft/sec.  For Kate, it is half that or 1.79 ft/sec.
In 33.6 seconds, Kate walks 59.99 or 60 feet.  She has gone 120 feet, because she had a 60 foot head start.

In 33.6 seconds, Pam walks 119.88 feet.  With rounding, this is 120 feet.</PRE>