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.35 km/hr.30 km/hr.40 km/hr.
Question
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.35 km/hr.30 km/hr.40 km/hr.
Solution
The driver has 4 hours (from 8:30 AM to 12:30 PM) to cover 300 km. This means his initial speed should be 300 km / 4 hours = 75 km/hr.
By 10:30 AM, he has driven for 2 hours and covered only 40% of the total distance, which is 40% of 300 km = 120 km. So, his speed for the first 2 hours was 120 km / 2 hours = 60 km/hr.
To reach his destination on time, he still needs to cover 60% of the total distance, which is 60% of 300 km = 180 km, in the remaining 2 hours (from 10:30 AM to 12:30 PM). This means he needs to increase his speed to 180 km / 2 hours = 90 km/hr.
Therefore, the driver needs to increase his speed by 90 km/hr - 60 km/hr = 30 km/hr. So, the correct answer is 30 km/hr.
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