Test time left: 18:53Select the correct answerA 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?Options40 km/hr.45 km/hr.35 km/hr.30 km/hr.
Question
Test time left: 18:53Select the correct answerA 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?Options40 km/hr.45 km/hr.35 km/hr.30 km/hr.
Solution
The first step is to calculate the total time the driver has to reach his destination. He leaves at 8:30 AM and expects to reach by 12:30 PM, so he has 4 hours in total.
Next, we need to find out how much distance he has covered by 10:30 AM. According to the question, he has covered only 40% of the total distance by 10:30 AM. 40% of 300 km is 120 km.
This means he has covered 120 km in the first 2 hours, so his initial speed was 60 km/hr (120 km divided by 2 hours).
He still has 180 km to cover (300 km - 120 km) and he has 2 hours left (from 10:30 AM to 12:30 PM).
To cover 180 km in 2 hours, he needs to travel at a speed of 90 km/hr (180 km divided by 2 hours).
Therefore, to keep up his schedule, he needs to increase his speed from 60 km/hr to 90 km/hr, which is an increase of 30 km/hr.
So, the correct answer is 30 km/hr.
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