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# Two people left cities A and B for cities B and A

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Joined: 04 Jul 2006
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Two people left cities A and B for cities B and A [#permalink]  14 Jul 2006, 06:46
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Two people left cities A and B for cities B and A respectively, at the same time. They drove at constant speeds Va and Vb , and met at point P, which is k miles from A. If the person leaving city B had driven twice as fast, the two people would have met at PÂ´, which is 0.55k miles from A. How many miles apart are cities A and B?

(1) k=20
(2) 9Va= 2Vb
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Joined: 20 Nov 2005
Posts: 2913
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Followers: 18

Kudos [?]: 119 [0], given: 0

A

x= distance between A and B

From Stem we get two equations
k/Va = (x-k)/Vb............Eq1

0.55k/Va = (x-0.55k)/2Vb..............Eq2
Solving these equation we get
x = 55k

St1: x = 55 * 20 = 1100 : SUFF

St2: Putting this value in eq1 we get 2x = 11k and putting in eq2 we again get 2x = 11k : INSUFF
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

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