Two cars start together from the same place in same direction. The first goes with unifrom speed of 60 km/hr. The second goes at a speed of 48km/hr in the first hour and increases the speed by 1km each succeding hour. After hour and many hours will the second car overtake the first car if both cars go non-stop?

Two cars start together from the same place in same direction. The fir

1.	Two cars start together from the same place in same direction. The first goes with unifrom speed of 60 km/hr. The second goes at a speed of 48km/hr in the first hour and increases the speed by 1km each succeding hour. After hour and many hours will the second car overtake the first car if both cars go non-stop?
Answer» Correct Answer - 25 hours Suppose the second car overtakes the first car in n hours. Distance covered by the first car in n huours = ( 600n ) km Distance covered by the second car in n hours [ 48+49 +50 +….. To n terms] ` n/2 xx [ 2xx 48+ (n-1) xx1] =n/2 (95+n)` `n/2 ( 95 +n) = 60n Rightarrow 95+n 120 Rightarrow n = 25` hours.