Tim and Élan are 150 miles away from one another. They are starting to move towards each other simultaneously, Tim at a speed of 10 Mph and Élan at a speed of 5 Mph. If every hour they double their speeds, what is the distance that Tim will pass until he meets Élan? Choose the correct choice from the following:
A) 30 miles.  B) 35 miles.  C) 45 miles.  D) 90 miles.  E) 100miles.
Tim and Elan will meet at the same time while their ratio of speed is 2:1 respectively.So their individual distance traveled ratio will be same.   Plugging in the answer choice Only Answer Choice 100miles. meet the 2:1(Tim:100miles.lan=100:50) ratio of maintaining total distance traveled 150 miles   SoCorrect answer 100miles.
<result>E</result>
Tim and Élan are 150 miles away from one another. They are starting to move towards each other simultaneously, Tim at a speed of 10 Mph and Élan at a speed of 5 Mph. If every hour they double their speeds, what is the distance that Tim will pass until he meets Élan?