math
posted by mandy on .
At the beginning at a walk, Alex and Beth are 2.2 miles apart. If they leave at the same time and walk in the same direction, Alex overtakes Beth in 11 hours. If they walk towards each other, they meet in 1 hour. What are there speeds?
Alex? mph
Beth? mph

2.2/(a+b) = 1
2.2/(ab) = 11
That is, the time to cover 2.2 miles with their combined speeds is 1 hur
Alex overtakes Beth at a speed of ab, and takes 11 hours to cover the extra 2.2 miles.
rearrange things a bit to get
a + b = 2.2
11a  11b = 2.2
or,
11a + 11b = 24.2
11a  11b = 2.2
22b = 22
b = 1
a = 1.2
Beth walks at 1 mph
Alex walks at 1.2 mph