Two cars A and B start together in the same direction from the same place . The first goes with uniform speed of 40km/hr . The second goes at a speed of 36km/hr in the first hour and increases the speed by 1km/hr each succeeding hour . After how many hours will the second car overtake the first car if both car go non-stop ?
Let's look at the differences in speed each hour.....
hour
1 2 3 4 5 6 7 8 9 10
diff
-4 -3 -2 -1 0 1 2 3 4 5
so at hour 5 they are the same speed....then the originally slower train starts gaining so that at hour 9 it has made up the miles it lost in the first 4 hours of going slower
at hour 9 they should be at the same point
check: 9 hr (40 km/hr) = 360 km
other train 36 + 37 +38 +39 +40 +41 +42 + 43 + 44 = 360 km