Select the correct answerA 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?Options21242730
Question
Select the correct answerA 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?Options21242730
Solution
To solve this problem, we first need to find out the length of the track.
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Convert the time taken to complete a lap from minutes to hours. 15 minutes = 15/60 = 0.25 hours
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Calculate the length of the track using the formula: Distance = Speed x Time Distance = 108 km/hr x 0.25 hr = 27 km
Next, we need to find out the speed needed to complete the lap in 12 minutes.
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Convert the desired time to complete a lap from minutes to hours. 12 minutes = 12/60 = 0.2 hours
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Calculate the required speed using the formula: Speed = Distance / Time Speed = 27 km / 0.2 hr = 135 km/hr
Finally, find out by how much the speed should be increased.
- Calculate the increase in speed: Increase in speed = Required speed - Original speed Increase in speed = 135 km/hr - 108 km/hr = 27 km/hr
So, the racing car should increase its speed by 27 km/hr to complete the lap in 12 minutes. The correct answer is 27.
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