Select 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?Options₹ 9₹ 8₹ 7₹ 6
Question
Select 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?Options₹ 9₹ 8₹ 7₹ 6
Solution
First, let's find out the distance the car travels. We know that distance = speed * time. The car travels at 72 km/hr for 9 minutes. But we need to convert the time to hours because the speed is in km/hr. So, 9 minutes = 9/60 = 0.15 hours.
So, the distance = 72 km/hr * 0.15 hr = 10.8 km.
Now, we want the car to travel the same distance in 8 minutes. Again, we convert the time to hours. So, 8 minutes = 8/60 = 0.133 hours.
We can find the new speed by rearranging the distance formula to speed = distance/time. So, the new speed = 10.8 km / 0.133 hr = 81.2 km/hr.
So, the car needs to increase its speed by 81.2 km/hr - 72 km/hr = 9.2 km/hr.
However, since the options are only whole numbers, we can round this to the nearest whole number. So, the car needs to increase its speed by approximately 9 km/hr. So, the correct answer is ₹ 9.
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