Posted by **Usher** on Wednesday, March 27, 2013 at 7:42pm.

Lara starts at the bottom of a long staircase. She climbs exactly 2/3 of the stairs. Then, she goes back down exactly 1/2 of the way to the bottom. From that spot, she climbs exactly 2/3 of the way to the top. Finally from there, she climbs 6 stairs to reach the top. How many stairs are in the staircase?

- Math Olympiad -
**Topquark**, Wednesday, March 27, 2013 at 9:35pm
Assume that there are x steps in all. Lara goes up (2x/3) steps and returns half the number of steps taken to 2x/6 or to (x/3) up from start.

After this there are (2x/3) steps still to go of which she once again takes (2/3)(2x/3)=(4x/9) steps to reach a spot which 6 steps away from the top.

Hence, x/3 + 4x/9 + 6 = x or x=27 steps.

## Answer This Question

## Related Questions

- Math - larry starts at the bottom of a long staircase. he climbs exactly 2/3 of...
- maths - Calvin stays on the 7th floor in his building. Between each floor, there...
- physics - A golf bounces down a flight of steel stairs, striking several steps ...
- Physical Science - Is this correct? Gabriella weighs 450 N. She climbs a flight ...
- math - An ant is at the bottom of a 12-foot deep well and is trying to get to ...
- physical Science - Two people who weigh the same climb a flight of stairs. The ...
- Math - a snail is at the bottom of a well. in the first 10 minutes, the snail ...
- MATH - Adam was walking down the stairs at his work one day. Adam began on the ...
- Algebra Grade 7 - A cat likes to play on stairs. Starting at the bottom landing...
- physics - A jogger with a mass of 66.0 kg reaches the top of a staircase in 44.0...

More Related Questions