SOLUTION: Alphonse starts at point A and runs at a constant rate towards point C. At the same time, Brigitte starts at point B and runs towards point C also at a constant rate. They arrive a

Question 205967: Alphonse starts at point A and runs at a constant rate towards point C. At the same time, Brigitte starts at point B and runs towards point C also at a constant rate. They arrive at C at exactly thesame moment. If they continue running in the
same directions, Alphonse arrives at B exactly 10 seconds before Brigitte arrives at A. How fast was Brigitte running?

A|----60m------|C---40m----|B
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Alphonse starts at point A and runs at a constant rate towards point C.
At the same time, Brigitte starts at point B and runs towards point C also
at a constant rate.
They arrive at C at exactly the same moment.
If they continue running in the same directions, Alphonse arrives at B
exactly 10 seconds before Brigitte arrives at A.
How fast was Brigitte running?

A|----60m------|C---40m----|B
:
Let a = Al's speed (in meters/sec)
Let b = Brig's speed
:
They arrive at C at the same time equation,
=
cross multiply
40a = 60b
a =
a = 1.5b
:
Time for each running 100 meters equation
B's time = A's time + 10 sec
= + 10
:
Replace a with 1.5b
= + 10
:
Multiply equation by 3 to get rid of the denominators, results
3(100) = 2(100) + 1.5b(10)
:
300 = 200 + 15b
:
300 - 200 = 15b
:
100 = 15b
b =
b = 6 meters/sec is Brig's speed (that's 24 km/hr)
:
:
Check solution
Find A's speed: 1.5*6.667 ~ 10 meters/sec
Find the times
60/10 = 6 sec
40/6.667 ~ 6 sec

RELATED QUESTIONS
A______60_______C____40____B Alphonse starts at point A and runs at a constant rate... (answered by richwmiller)

A----------60m-------------C------40m-------B Alphonse starts at point A and runs at (answered by stanbon)

Alphonse strats strats at point A and runs at a constant rate toward point C.
At... (answered by AnlytcPhil)
 A runner starts at the beginning of a runners� path and runs at a 
constant rate of 5... (answered by josmiceli)
A runner starts at the beginning of a path and runs at a constant rate of 8 mi/hr. Five... (answered by robertb)
A runner starts at point A, runs around a 1-mile track and finishes the run back at point  (answered by ewatrrr)
A woman starts at point A and walks 150m due south to the point B and then walks 200... (answered by CubeyThePenguin)
Need help for the following sum:

A starts walking north from Point X at 7 a.m. with a... (answered by mananth)
A cross country skier starts at a certain point and travels at a constant speed of 4... (answered by stanbon)