A hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 12 kilometers per hour. The cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate. How many minutes must the cyclist wait until the hiker catches up?  Select:	A) 10	B) 15	C) 20	D) 25	E) 30
In 5 minutes, the cyclist travels a distance of   (5/60)*12= 
<gadget id="calculator">  (5/60)*12</gadget>
<output>1</output>
1 km.   The time it takes the hiker to complete this distance is 1/4 hours= 15 minutes   The cyclist needs to wait  15 - 5= 
<gadget id="calculator"> 15 - 5</gadget>
<output>10</output>
10 minutes   The answer is 10.
<result>A</result>
A hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 12 kilometers per hour. The cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate. How many minutes must the cyclist wait until the hiker catches up?