Two cars A and B start from Boston and New York respectively simultaneously and travel towards each other at constant speeds along the same route. 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 20 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?  Choose the correct choice from the following answers:
A) 1 hour
B) 1 hour 10 minutes
C) 2 hours 30 minutes
D) 1 hour 20 minutes
E) 2 hours 10 minutes
Both cars leave at the same time   Both cars travel at constant speed   Stealing a useful piece of information from Paragkan:   If two objects A and B start from opposite points and, after having met en route, reach their respective destinations in a and b mins (or any other measure of time) respectively, then the ratio of their speeds   ratio of speed: (a/b) = sq. rt(b/a)   sq. rt(b/a)   sq. rt(90/20)   sq. rt(3/2)   So, for every three units of distance A travels, B travels two. Because we know the ratio of speed and the time it took B to travel the distance A hasn't yet covered, we can find the time it took A to cover the distance B did in 90 minutes.   90*(2/3)where 2/3 represents the lesser amount of time it took A to travel the distance B did in 90 minutes.   = 60 minutes.   Therefore, A took 20 minutes to travel the first portion then 60 minutes to travel the distance B did in 90 minutes. A spent (20+60)= 
<gadget id="calculator">(20+60)</gadget>
<output>80</output>
80 minutes on the road.   D. 1 hour 20 minutes
<result>D</result>
Two cars A and B start from Boston and New York respectively simultaneously and travel towards each other at constant speeds along the same route. 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 20 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?