Question 1188398
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megan takes 30 seconds to run 100m while her brother takes 20 secs. 
if megan is given a 200 metre head start, 
how long would it take her brother to catch up to her ?
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<pre>
The Megan's rate running is  {{{100/30}}} = {{{10/3}}}  meters per second.


The brother's rate running is  {{{100/20}}} = 5 meters per second.


Their rate approaching is the difference  {{{5 - 10/3}}} = {{{15/3 - 10/3}}} = {{{5/3}}} m/s.


With headstart of 200 meters for Megan,  her brother will catch her in  {{{200/((5/3))}}} = 40*3 = 120 seconds. 


<U>ANSWER</U>.  The brother will catch Megan in 120 seconds.
</pre>

Solved.