Every day Daniel drives 96 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?
Choose the correct choice from the following options.
A) 10%  B) 20%  C) 30%  D) 40%  E) 50%
Let's TEST X = 4....   On Sunday, Daniel drove 96 miles at 4 miles/hour.   D = (R)(T)   96 = (4)(T)   96/4= 
<gadget id="calculator">96/4</gadget>
<output>24</output>
24= T   It takes 24 hours to drive home   On Monday, Daniel drove the first 32 miles at (2)(4) = 8 miles/hour and the rest of the way (64 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)   64 = (2)(T)   64/2= 
<gadget id="calculator">64/2</gadget>
<output>32</output>
32= T   It takes 32 hours for the second part   Total time to drive home on Monday = 4+32= 
<gadget id="calculator">4+32</gadget>
<output>36</output>
36 hours   We're asked by what percent 36 hours is greater than 32 hours.   36/32= 1.5, so it is 50% greater.   50%
<result>E</result>
Every day Daniel drives 96 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?