Every day Daniel drives 120 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
A) 10% B) 20% C) 30% D) 40% E) 60%
Let's TEST X = 4....   On Sunday, Daniel drove 120 miles at 4 miles/hour.   D = (R)(T)   120 = (4)(T)   120/4= 
<gadget id="calculator">120/4</gadget>
<output>30</output>
30= T   It takes 30 hours to drive home   On Monday, Daniel drove the first 32 miles at (2)(4) = 8 miles/hour and the rest of the way (88 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)   88 = (2)(T)   88/2= 
<gadget id="calculator">88/2</gadget>
<output>44</output>
44= T   It takes 44 hours for the second part   Total time to drive home on Monday = 4+44= 
<gadget id="calculator">4+44</gadget>
<output>48</output>
48 hours   We're asked by what percent 48 hours is greater than 30 hours.   48/30= 
<gadget id="calculator">48/30</gadget>
<output>8/5 = around 1.6</output>
1.6, so it is 60% greater.   answer:60%
<result>E</result>
Every day Daniel drives 120 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?