A group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. They plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. If they will go up the mountain at a rate of 5 miles per day and it will take them two days, how many miles long is the route down the mountain?  Choose the correct choice from the following options.
A) 4  B) 6  C) 8  D) 12  E) 15
On the way down, the rate is  1.5*5= 
<gadget id="calculator"> 1.5*5</gadget>
<output>7.5</output>
7.5 miles per day.   The distance of the route down the mountain is   2*7.5= 
<gadget id="calculator">  2*7.5</gadget>
<output>15</output>
15 miles.   The answer is 15.
<result>E</result>
A group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. They plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. If they will go up the mountain at a rate of 5 miles per day and it will take them two days, how many miles long is the route down the mountain?