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# John takes 2 hours to travel from his house to work at a certain speed

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Re: John takes 2 hours to travel from his house to work at a certain speed [#permalink]
Bunuel wrote:
John takes 2 hours to travel from his house to work at a certain speed. How long will it take him to travel that same route if he travels at two-thirds of the speed?

A. 1.5 hours
B. 2.3 hours
C. 2.5 hours
D. 3 hours
E. 4 hours

=11ptJohn’s distance traveled is 2r, where are is his initial rate. If he traveled at 2/3 of that rate his new rate is 2r/3.

=11ptThus, the time to travel the original distance is:

=11ptTime = distance/rate

=11ptTime = 2r/(2r/3) = 6r/2r = 3 hours.