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 ...
- 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: ...
- math - John and Allen are bicycle riders that are currently 30 miles apart on a ...
- Algebra - A woman can bicycle 66 miles in the same time as it takes her to walk ...
- Algebra - To attend a family reunion, Beth drives 100 mi from Fresno and Clara ...
- maths - Two walkers set off at the same time from a crossroad and walk along ...
- maths - Two walkers set off at the same time from a crossroad and walk along ...
- maths - Two walkers set off at the same time from a crossroad and walk along ...
- Solving Rational Equations - To attend a family reunion, Beth drives 100 mi ...

More Related Questions