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Two cars A and B start from Boston and New York respectively [#permalink]
13 Mar 2005, 09:19
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Two cars A and B start from Boston and New York respectively simultaneously and travel towards each other at constant speeds. After meeting at a point between Boston and New York the two cars A and B proceed to their respective destinations of New York and Boston. Car A reaches New York 40 minutes after the two cars have met and Car B reaches Boston 90 minutes after they have met. How long did Car A take to cover the distance between Boston and New York?
A. 1 hour
B. 1 hour 10 minutes
C. 2 hours 30 minutes
D. 1 hour 40 minutes
E. 2 hours 10 minutes
With the information given, you can compute the ratio of the rates r1:r2 as 3:2, where r1 is the rate of A and r2 is the rate of B. You also can deduce that it takes 1 hr for them to meet by picking numbers, if the total distance is 50, with the above ratio the 2 will meet after 1 hour and this is true for any distance between Boston and New York if the relative ratios are known. Further, A travels an additional 40 mins, so A travels a total of 100 mins or 1hr 40 mins.