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?
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?
Solution
Sure, let's break it down:
- The total distance to be covered is 300 km.
- The total time he planned to take is from 8:30 AM to 12:30 PM, which is 4 hours.
- By 10:30 AM, he has covered only 40% of the total distance. So, he has covered 0.4 * 300 = 120 km in 2 hours.
- This means his speed was 120 km / 2 hours = 60 km/h.
- The remaining distance to be covered is 300 km - 120 km = 180 km.
- The remaining time he has is from 10:30 AM to 12:30 PM, which is 2 hours.
- To cover 180 km in 2 hours, he needs to travel at a speed of 180 km / 2 hours = 90 km/h.
- Therefore, he needs to increase his speed from 60 km/h to 90 km/h, which is an increase of 90 km/h - 60 km/h = 30 km/h.
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Aptitude:speed and distance [Section 1 of 1] Q1 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 23:15Select the correct answerA car travelling at an average speed of 72 km/hr takes 9 minutes to travel a certain distance. By how much should it increase its speed (in km/hr) to travel the same distance in 8 minutes?
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