SOLUTION: A toddler takes off running down the sidewalk at 190 ​ft/min. Two minutes ​later, a worried mother runs after the child at 680​ft/min. After how many minutes will

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Question 1099161: A toddler takes off running down the sidewalk at 190 ​ft/min. Two minutes ​later, a worried mother runs after the child at 680​ft/min. After how many minutes will the mother overtake the​ toddler?
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
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Answer.  In  %28190%2A2%29%2F%28680-190%29 = 380%2F490%29 = 38%2F49 of a minute after the mother's start.

Explanation. 

190*2 = 380 feet in the numerator is the head start.


680-190 = 490 ft/s is their relative speed. It is the rate of decreasing the distance between them.


Then the formula I used above is Time = Distance%2FRate.

See the lessons
    - Travel and Distance problems
    - Travel and Distance problems for two bodies moving in opposite directions
    - Travel and Distance problems for two bodies moving in the same direction (catching up)
in this site.