SOLUTION: A takes one hour to run a certain distance. B takes 40 minutes to run the same distance.One day A started his running at 4 p.m and B started his running 10 minutes later. What is t

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Question 1068438: A takes one hour to run a certain distance. B takes 40 minutes to run the same distance.One day A started his running at 4 p.m and B started his running 10 minutes later. What is the time when B passes A?

Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
The distance in each of the described rates is its own distance unit.

Using all time quantities in MINUTES and using the catching-up distance as d:

A         1/60        t+10          d

B         1/40         t            d



Solve for the amount of time in minutes that both A and B ran.
%281%2F60%29%28t%2B10%29=%281%2F40%29t

t=20%2Aminutes