Question 766779
Maureen traveled a distance already in ten minutes before John began.  Maureen already went {{{6*(10/60)}}} km.  This is 1 km.


Maureen and John then both travel for some equal time which we not yet know; and their total distances become equal. Let h be the amount of time in hours that they travel simultaneously.   Make a data table:


SIBLING__________speed_________time___________distance
Maureen__________6_____________h+1/6___________(__)
John_____________15____________h______________(__)


What can we do about the unknown distance for them?
r*t=d or in the variables chosen, r*h=d.
10 minutes is {{{1/6}}} hour.


SIBLING__________speed_________time___________distance
Maureen__________6_____________{{{h+1/6}}}___________{{{(6(h+1/6))}}}
John_____________15____________h______________{{{(15h)}}}



When John reaches Maureen, they have both gone equal distances, so the equation is to equate their distance expressions.


{{{highlight(6(h+1/6)=15h)}}} and a reminder, h is in hours.  Solve for h and then distance can easily be computed.