Every day Daniel drives 64 miles back from work. On Sunday, Daniel drove all the way back from work at a constant speed of x miles per hour. On Monday, Daniel drove the first 32 miles back from work at (2x) miles per hour, and the rest of the way at (x/2) miles per hour. The time it took Daniel to drive back from work on Monday is longer than the time it took him to drive back from work on Sunday by what percent?	Pick one:
A) 15%
B) 25%
C) 35%
D) 45%
E) 55%
Let's TEST X = 4....   On Sunday, Daniel drove 64 miles at 4 miles/hour.   D = (R)(T)   64 = (4)(T)   64/4= 
<gadget id="calculator">64/4</gadget>
<output>16</output>
16= T   It takes 16 hours to drive home   On Monday, Daniel drove the first 32 miles at (2)(4) = 8 miles/hour and the rest of the way (32 miles) at  4/2= 
<gadget id="calculator"> 4/2</gadget>
<output>2</output>
2 miles/hour   D= (R)(T)   32 = (8)(T)   32/8= 
<gadget id="calculator">32/8</gadget>
<output>4</output>
4= T   It takes 4 hours for the first part   D = (R)(T)   32 = (2)(T)   32/2= 
<gadget id="calculator">32/2</gadget>
<output>16</output>
16= T   It takes 16 hours for the second part   Total time to drive home on Monday = 4+16= 
<gadget id="calculator">4+16</gadget>
<output>20</output>
20 hours   We're asked by what percent 20 hours is greater than 16 hours.   20/16= 
<gadget id="calculator">20/16</gadget>
<output>5/4 = around 1.25</output>
1.25, so it is 25% greater.   25%
<result>B</result>
Every day Daniel drives 64 miles back from work. On Sunday, Daniel drove all the way back from work at a constant speed of x miles per hour. On Monday, Daniel drove the first 32 miles back from work at (2x) miles per hour, and the rest of the way at (x/2) miles per hour. The time it took Daniel to drive back from work on Monday is longer than the time it took him to drive back from work on Sunday by what percent?