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March 28, 2015

March 28, 2015

Posted by **mandy** on Friday, December 2, 2011 at 2:47pm.

Alex? mph

Beth? mph

- math -
**Steve**, Friday, December 2, 2011 at 3:30pm2.2/(a+b) = 1

2.2/(a-b) = 11

That is, the time to cover 2.2 miles with their combined speeds is 1 hur

Alex overtakes Beth at a speed of a-b, 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

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