Question

2. Two cars start together in the same direction from the same place. The first
goes with uniform speed of 10 km/h. The second goes at a speed of 8 kom/h in
the first hour and increases the speed by 1/2 km in each succeeding hour l'ind
after how many hours will the second car overtake the first car il both cars go
non-stop​

Answer 1

Answer:

Let the second car overtakes the first car after n hours.

Hence

Distance covered by first car = distance covered by second car

10n = 8 + (8 +1/2) + (8 + 2/2) + (8+3/2) + .......+(8 + n-1/2)

10 n = 8n + 1/2 [1 +2 +3 + 4+.......(n-1)]

2n = (1/2)[n(n-1)/2]

4n = n(n-1)/2

8 n = n² - n

n² - 9n = 0

n = 9

Hence answer is 9 hours

Step-by-step explanation: