A 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₹ 6₹ 9₹ 8₹ 7
Question
A 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₹ 6₹ 9₹ 8₹ 7
Solution
Sure, let's solve this step by step:
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First, we need to find out the distance the car travels. We know that distance = speed * time. The car travels at a speed of 72 km/hr for 9 minutes. But we need to convert the time to hours since the speed is in km/hr. So, 9 minutes = 9/60 = 0.15 hours. Therefore, the distance = 72 km/hr * 0.15 hr = 10.8 km.
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Now, we need to find out the speed required to travel this distance in 8 minutes. Again, we need to convert the time to hours. So, 8 minutes = 8/60 = 0.133 hours. We know that speed = distance/time. So, the required speed = 10.8 km / 0.133 hr = 81.2 km/hr.
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To find out by how much the speed should be increased, we subtract the original speed from the required speed. So, 81.2 km/hr - 72 km/hr = 9.2 km/hr.
So, the car should increase its speed by approximately 9 km/hr to travel the same distance in 8 minutes. Therefore, the closest option is ₹ 9.
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