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

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

- math -
**Steve**, Friday, December 2, 2011 at 3:30pm
2.2/(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

## Answer This Question

## Related Questions

- math - beth walks 2 blocks in 15 minutes . how many blocks would beth walk if ...
- math - John and Allen are bicycle riders that are currently 30 miles apart on a ...
- Algebra - To attend a family reunion, Beth drives 100 mi from Fresno and Clara ...
- Solving Rational Equations - To attend a family reunion, Beth drives 100 mi ...
- Language Arts HELP! - Which of the following sentences contains a verb in the ...
- L/A - Which of the following sentences contains a verb future perfect tense? A: ...
- meeting and chasing problem - Amy and Beth live the same place which is 10 miles...
- algebra - Teri, nick, and Alex had $865 altogether. Teri spent 2/5 of her money...
- Algebra - 1) Two cars leave town at the same time going in opposite directions. ...
- math - Felicity is deep-sea diving with two friends. Todd is exploring a coral ...

More Related Questions