On a 20 mile course, Pat bicycled at an average rate of 30 miles per hour for the first 12 minutes and without a break, ran the rest of the distance at an average rate of 8 miles per hour. How many minutes did Pat take to cover the entire course?  Choose the correct answer.
A) 75	B) 105	C) 117	D) 150	E) 162
At an average rate of 30 miles per hour in 12 minute (1/5 hours) Pat covers (distance) = (time) * (rate) = 1/5*30= 
<gadget id="calculator">1/5*30</gadget>
<output>6</output>
6 miles, thus she should cover the remaining distance of  20 - 6= 
<gadget id="calculator"> 20 - 6</gadget>
<output>14</output>
14 miles at an average rate of 8 miles per hour.   To cover 14 miles at an average rate of 8 miles per hour Pat needs (time)= (distance)/(rate) = 14/8= 
<gadget id="calculator">14/8</gadget>
<output>7/4 = around 1.75</output>
1.75 hours= 105 minutes.   Therefore Pat needs total of   12 + 105= 
<gadget id="calculator">  12 + 105</gadget>
<output>117</output>
117 minutes to cover the entire course.   Answer: 117.
<result>C</result>
On a 20 mile course, Pat bicycled at an average rate of 30 miles per hour for the first 12 minutes and without a break, ran the rest of the distance at an average rate of 8 miles per hour. How many minutes did Pat take to cover the entire course?