Aptitude:speed and distance [Section 1 of 1] Q13 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 13:37Select 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?
Question
Aptitude:speed and distance [Section 1 of 1] Q13 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 13:37Select 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?
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 at 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. So, 40% of 300 km is 120 km.
This means he has covered 120 km in 2 hours (from 8:30 AM to 10:30 AM), so his initial speed was 60 km/hour.
Now, he has 2 hours left (from 10:30 AM to 12:30 PM) and he still needs to cover 60% of the total distance, which is 180 km (60% of 300 km).
To cover 180 km in 2 hours, he needs to travel at a speed of 90 km/hour.
Therefore, he needs to increase his speed from 60 km/hour to 90 km/hour, which is an increase of 30 km/hour.
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