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?
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?
Solution
Sure, let's solve this step by step:
Step 1: First, we need to find out the length of the track. We can do this by using the formula: Distance = Speed x Time Here, the speed of the car is 108 km/hr and the time taken is 15 minutes. But we need to convert this time from minutes to hours by dividing by 60. So, the time in hours is 15/60 = 0.25 hr. So, the distance of the track is 108 km/hr x 0.25 hr = 27 km.
Step 2: Next, we need to find out the speed needed to complete the lap in 12 minutes. We can do this by rearranging the formula to: Speed = Distance / Time Here, the distance is 27 km and the time is 12 minutes. But again, we need to convert this time from minutes to hours by dividing by 60. So, the time in hours is 12/60 = 0.2 hr. So, the required speed is 27 km / 0.2 hr = 135 km/hr.
Step 3: Finally, we need to find out by how much the speed should be increased. We can do this by subtracting the original speed from the required speed. So, the increase in speed is 135 km/hr - 108 km/hr = 27 km/hr.
Therefore, the racing car should increase its speed by 27 km/hr to complete the lap in 12 minutes.
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