Question : A racing car going at an average speed of 108 km/hr takes 15 minutes to complete a lap on a racing track. By how much should it increase its speed (in km/hr) to complete the lap in 12 minutes?
Option 1: 24
Option 2: 21
Option 3: 27
Option 4: 30
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Correct Answer: 27
Solution : Given: A racing car going at an average speed of 108 km/hr takes 15 minutes to complete a lap on a racing track. So, the distance travelled by the racing car in 15 minutes = speed × time = $108×\frac{15}{60}=27$ km To complete the lap in 12 minutes, the speed will be $\frac{27}{\frac{1}{5}}=135$ km/hr So, it should increase the speed by (135 – 108) = 27 km/hr Hence, the correct answer is 27.
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