Charlotte's Adventure
Charlotte's* baby Joy flew in the air and got stuck on the other side of the road.
Luckily, a fifteen feet long ladder is placed across the street such that while its base is at one edge of the street its top rests against the opposite wall at a height of nine feet. Similarly, another ladder, twenty feet long, is placed resting across the other side-wall so that the two ladder cross each other.
Charlotte wants to use the ladder to cross the street.
How long will Charlotte take to accomplish the crossing assuming that he covers one foot in ten seconds ?
* Charlotte is the name of the barn spider
Luckily, a fifteen feet long ladder is placed across the street such that while its base is at one edge of the street its top rests against the opposite wall at a height of nine feet. Similarly, another ladder, twenty feet long, is placed resting across the other side-wall so that the two ladder cross each other.
Charlotte wants to use the ladder to cross the street.
How long will Charlotte take to accomplish the crossing assuming that he covers one foot in ten seconds ?
* Charlotte is the name of the barn spider
Labels: friday special, mathemagic, puzzle
posted by Rajesh Lal at
7:58 AM
11 Comments:
Some real geometry needed IMO
where are all the geometry guru's ?
whoever posted this has horrable ghramar "stucked" isn't a word, and you spelled "Charlotte" as "Charlott" in the third paragraph.
thanks miniman for the improvement on the "horrable ghramar" , you got that one right
An Eternity, because Charlotte is deceased from giving birth.
5 minutes 50 seconds... because it doesn't matter how tall the wall is in the middle.. she is still climbing a 15' ladder attached to a 20' ladder.
Lol second anonymous is right, how does a BOY give birth? I'm guessing that these posters don't natively speak English...
where is the BOY i thought Charlotte is a spider ?
It's all in a 3² + 4² = 5² scheme. The height of the first ladder is 3/5 its length, so the street must be 4/5 of 15 which is 12 feet wide. That's 3/5 of the second ladders length, so it must be 4/5 of 20 high, which is 16 feet. The triangle created by the smaller ladder is a transformation of the triangle created by the bigger ladder, with a rotation of 90°, so the ladders meet at a right angle. The angles of the triangle created by the street and the crossing ladders are congruent with the angles of the other triangles, so its catheta must be 3/5 and 4/5 of 12 feet: 7.2 and 9.6 feet.
Charlotte needs 96 + 72 = 168 seconds to cross the street over the ladders.
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miniman you are an idiot.
horrable is actually horrible.
and ghramar is grammer.
Before you decide to make comments about other people's grammar and spelling, check yours.
chill Michelle... its grammar... not grammer...so angry...damn that rap music!
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