Tim and Élan are 90 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? Options.
A) 30 miles.	B) 35 miles.	C) 45 miles.	D) 60 miles.	E) 65 miles.
In 1st hour: Relative speed of the two will be  10+5= 
<gadget id="calculator"> 10+5</gadget>
<output>15</output>
15 miles / hour. As they move towards each other, The distance between them reduces by 15 miles. Distance left between them:   90 - 15= 
<gadget id="calculator">  90 - 15</gadget>
<output>75</output>
75 miles.   In 2nd hour: Speed of Tim: 20Mph, That of Elan: 10 Mph. Relative speed of the two will be   20+ 10= 
<gadget id="calculator">  20+ 10</gadget>
<output>30</output>
30 miles / hour. As they move towards each other, The distance between them reduces by 30 miles. Distance left between them:   75 - 30= 
<gadget id="calculator">  75 - 30</gadget>
<output>45</output>
45 miles.   In 3rd hour: Speed of Tim: 40 Mph, That of Elan: 20 Mph. Relative speed of the two will be   40+ 20= 
<gadget id="calculator">  40+ 20</gadget>
<output>60</output>
60 miles / hour.   Now in order to cover the remaining distance of 45 miles. They will take: (45/ 60) hrs.= (3/4) hour.   Distance travelled by Tim?   In first hour: 1 hour * (10 miles per hour) = 10 miles   In second hour: 1 hour * (20 miles per hour) = 20 miles   In third hour: (3/4) hour * (40 miles per hour) = 30 miles   Total distance travelled:   10+20+30= 
<gadget id="calculator">  10+20+30</gadget>
<output>60</output>
60 miles.   60 miles. is the answer
<result>D</result>
Tim and Élan are 90 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?