Brent@GMATPrepNow wrote:Rhonda runs at an average speed of 12 kilometers per hour, and she bicycles at an average speed of 30 kilometers per hour. When she bicycles to work, her travel time is 2.25 minutes less than when she runs to work. The distance to work, in kilometers, is
A) 27/40
B) 3/4
C) 7/8
D) 11/12
E) 6/5
We can PLUG IN THE ANSWERS, which represent the distance.
2.25 minutes = 9/4 minutes = (9/4)/60 hours = 3/80 hours.
When the correct answer choice is plugged in, the difference between the two times will be 3/80 hours.
B: 3/4
At a speed of 12 kph, the time to bike 3/4 kilometers = d/r = (3/4)/12 = 1/16 hours.
At a speed of 30 kph, the time to walk 3/4 kilometers = d/r = (3/4)/30 = 1/40 hours.
Time difference = 1/16 - 1/40 = 5/80 - 2/80 = 3/80 hours.
Success!
The correct answer is
B.
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