A car driver leaves Bangalore at 8.30 A.M. and expects to reach a place 300 km from Bangalore at 12.30 P.M. At 10.30 he finds that he has covered only 40% of the distance. By how much he has to increase the speed of the car in order to keep up his schedule?Options45 km/hr.40 km/hr.35 km/hr.30 km/hr.

To solve this problem, we first need to calculate the initial speed of the car and the distance remaining to be covered. Then we can find out the speed required to cover the remaining distance in the remaining time. The difference between the initial speed and the required speed will give us the answer.

1. Calculate the initial speed: The driver starts at 8:30 AM and by 10:30 AM, he has covered 40% of the total distance. That's 2 hours to cover 40% of 300 km, which is 120 km. So, the initial speed is 120 km / 2 hours = 60 km/hr.

2. Calculate the remaining distance and time: The total distance to be covered is 300 km. He has already covered 120 km, so the remaining distance is 300 km - 120 km = 180 km. The driver expects to reach the destination at 12:30 PM. It's currently 10:30 AM, so he has 2 hours left.

3. Calculate the required speed: To cover the remaining 180 km in 2 hours, the driver needs to travel at a speed of 180 km / 2 hours = 90 km/hr.

4. Calculate the increase in speed: The required speed is 90 km/hr and the initial speed was 60 km/hr. So, the driver needs to increase his speed by 90 km/hr - 60 km/hr = 30 km/hr.

So, the driver needs to increase his speed by 30 km/hr to keep up his schedule. The answer is 30 km/hr.