SOLUTION: John and Erin were both jogging on the same path, each at a constant speed, and Erin at a faster speed than John. When Erin started jogging, John had jogged 500 meters. Which

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Question 985677: John and Erin were both jogging on the same path, each at a constant speed, and
Erin at a faster speed than John. When Erin started jogging, John had jogged
500 meters. Which one piece of additional information, in meters per minute, would be needed to determine how long, in minutes, Erin had been jogging when she
caught up with John? * Could you provide step by step method plz! Thx!
a.) John's speed
b.) Erin's speed
c.) the sum of john's and erin's speed
d.) the difference of John's and Erin's speed

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
John and Erin were both jogging on the same path, each at a constant speed, and
Erin at a faster speed than John. When Erin started jogging, John had jogged
500 meters. Which one piece of additional information, in meters per minute, would be needed to determine how long, in minutes, Erin had been jogging when she aught up with John? * Could you provide step by step method plz! Thx!
---------
John DATA::
distance = (x-500) meters ; rate = k meters/min ; time = (x-500)/k min
---------
Erin DATA::
distance = x meters ; rate = p meters/min ; time = x/p min
----
Equations:
John time = Erin time
(x-500)/k = x/p
-------
a.) John's speed
b.) Erin's speed
c.) the sum of john's and erin's speed
d.) the difference of John's and Erin's speed
----
Cheers,
Stan H.