Another race!
Alice is 100 meters from Bill and Bill is 300 meters from Chelsea.
They all
move to the right at constant speeds. In 6 minutes, Alice overtakes Bill,
and
in another 6 minutes, Alice overtakes Chelsea. How many minutes did it
take for
Bill to overtake Chelsea?
As you did yesterday, you might employ the strategy of assuming that the
three move
at specific speeds, consistent with the data in the problem, then do a
more general
case.
As always, be sure to explain the
work you did to arrive
at your answers!
Making a picture will certainly help. The thing that makes this problem
tricky
is that while Alice is catching up to Bill, Chelsea is moving the whole
time.
So you have to account for her movements somehow, too.