Two cars start together in the same direction from the same place. The first goes with uniform speed of 10 kmph. The second goes at a speed of 8 kmph in the first hour and increases its speed by 1/2 kmph each succeeding hours. After how many hours will the second car overtake the first, if both cars go non stop? Choose the correct choice from the following.
A) 8 hours B) 7 hours C) 6 hours D) 9 hours E) None
Explanation :   The second car overtake the first car in x hours   9 hoursistance covered by the first car in x hours = 9 hoursistance covered by the second car in x hours   10x = x/2[2a + (x-1)d] 10x = x/2[2*8 + (x-1)1/2] x = 40 -31= 
<gadget id="calculator">40 -31</gadget>
<output>9</output>
9   Answer – 9 hours
<result>D</result>
Two cars start together in the same direction from the same place. The first goes with uniform speed of 10 kmph. The second goes at a speed of 8 kmph in the first hour and increases its speed by 1/2 kmph each succeeding hours. After how many hours will the second car overtake the first, if both cars go non stop?