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 Post subject: Metting point of A and BPosted: Thu, 31 May 2012 14:22:30 UTC
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Joined: Thu, 31 May 2012 14:00:17 UTC
Posts: 1
First off - this is not homework, this is voluntary work to get ready for a test I'm having in a week.

"A motorcyclist is in a city A, and he is able to go to a city B in 3 hours. Another motorcyclist is in city B, and he is able to get to a city A in 2 hours. They both leave the towns at the same time. When will they meet?"

I was able to solve such exercises before, but now I'm having trouble with it. I've tried taking a random number and calculating the times, but obviously the answer was wrong.

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 Post subject: Re: Metting point of A and BPosted: Thu, 31 May 2012 14:46:23 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
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Topic moved from Calculus to Algebra.

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 Post subject: Re: Metting point of A and BPosted: Thu, 31 May 2012 16:54:16 UTC
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Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12098
Location: Austin, TX
solvingmaths wrote:
First off - this is not homework, this is voluntary work to get ready for a test I'm having in a week.

"A motorcyclist is in a city A, and he is able to go to a city B in 3 hours. Another motorcyclist is in city B, and he is able to get to a city A in 2 hours. They both leave the towns at the same time. When will they meet?"

I was able to solve such exercises before, but now I'm having trouble with it. I've tried taking a random number and calculating the times, but obviously the answer was wrong.

Can you show us what you tried? It's impossible to see where the trouble is otherwise.

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 Post subject: Re: Metting point of A and BPosted: Sun, 10 Jun 2012 13:13:46 UTC
 Member of the 'S.O.S. Math' Hall of Fame

Joined: Mon, 23 Feb 2009 23:20:33 UTC
Posts: 1049
Draw a diagram. Assuming that they travel at constant speeds in opposite directions on the same road, then when they meet, the faster motorcyclist will have covered 1½ times the distance that the slower motorcyclist has covered. That means that the slower motorcyclist has covered a fraction p/q of the total distance, which must have taken p/q of three hours.

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 Post subject: Re: Metting point of A and BPosted: Mon, 11 Jun 2012 06:54:17 UTC
 S.O.S. Oldtimer

Joined: Fri, 27 Jul 2007 10:17:26 UTC
Posts: 278
Location: Chandler, AZ, USA
Use , plus the fact that .

Spoiler:
Then

or or 1:12.

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